Overview of windows, helical gear pair windows - · PDF fileFigure 3-1 Over view, basic tabs,...
Transcript of Overview of windows, helical gear pair windows - · PDF fileFigure 3-1 Over view, basic tabs,...
Public KISSsoft AG Uetzikon 4 8634 Hombrechtikon Switzerland www.KISSsoft.ch
Title: No.: Date: Manager: @:
Version: 3 Autor: HD Date: 18.2.08 Approved: HD Date: 18.2.08
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 1 / 97
Overview of windows, helical gear pair windows
The below shows the user interfaces, results and reports available for the helical gear pairs calculation. An additional section is added for planetary gear sets, showing the additional functionality there.
Windows, Gear pair calculation
Windows, helical gear pairs
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 2 / 97
1 Document information
1.1 Table of content 1 Document information ....................................................................................................... 2
1.1 Table of content.......................................................................................................... 2 1.2 List of figures ............................................................................................................. 3 1.3 Document change record4.1, 6.1................................................................................ 5
2 Basic tabs............................................................................................................................ 6 2.1 Overview .................................................................................................................... 6 2.2 Tab „Basic data“......................................................................................................... 7 2.3 Tab „Reference profile“ ........................................................................................... 11 2.4 Tab „Tolerances“...................................................................................................... 12
3 Additional tabs ................................................................................................................. 13 3.1 Tab “Modifications”................................................................................................. 14 3.2 Tab “Tooth form”..................................................................................................... 18 3.3 Tab “Path of contact” ............................................................................................... 19 3.4 Tab “Operating backlash” ........................................................................................ 20 3.5 Tab „Master Gear“ ................................................................................................... 21 3.6 Tab “AGMA925”..................................................................................................... 21 3.7 Tab “Path of contact”, gear pump calculation.......................................................... 22
4 Sizing functions................................................................................................................ 23 5 Graphics ........................................................................................................................... 25
5.1 Geometry.................................................................................................................. 25 5.2 Evaluation................................................................................................................. 30 5.3 Path of contact .......................................................................................................... 34
6 Databases.......................................................................................................................... 41 7 Module specific settings................................................................................................... 41
7.1 Module specific settings........................................................................................... 41 Additional calculation output ................................................................................................... 47
7.2 Hardness conversion ................................................................................................ 47 7.3 Tooth thickness ........................................................................................................ 47 7.4 Scuffing analysis along AGMA925 ......................................................................... 48 7.5 Gear pump analysis .................................................................................................. 50
8 Other helical gear types.................................................................................................... 54 8.1 Single gear................................................................................................................ 54 8.2 Rack and pinion........................................................................................................ 55 8.3 Planetary calculation ................................................................................................ 55 8.4 Chain of three gears (one idler)................................................................................ 57 8.5 Chain of four gears (two idlers) ............................................................................... 59
9 Reports ............................................................................................................................. 60 9.1 General report........................................................................................................... 60 9.2 Gear data summary................................................................................................... 66 9.3 Production tolerances ............................................................................................... 67 9.4 Tooth thickness ........................................................................................................ 68 9.5 Rating ....................................................................................................................... 69 9.6 Load spectrum calculation ....................................................................................... 70
9.6.1 Summary .......................................................................................................... 70 9.6.2 Details............................................................................................................... 70
9.7 Sizing........................................................................................................................ 94
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 3 / 97
9.7.1 Rough sizing..................................................................................................... 94 9.7.2 Fine sizing ........................................................................................................ 94
9.8 Additional reports, planetary calculation ................................................................. 96 9.8.1 Centre point calculation ................................................................................... 96
1.2 List of figures Figure 3-1 Over view, basic tabs, cylindrical gear pair calculation........................................... 6 Figure 3-2 Basic gear data, load data and lubricant data input .................................................. 7 Figure 3-3 Definition of helical and double helical gearing ...................................................... 7 Figure 3-4 Selection of rating method........................................................................................ 7 Figure 3-5 Selection of gear material from database, user may add his own data to database.. 7 Figure 3-6 Selection of lubricant, user may add his own lubricant data to database. ................ 8 Figure 3-7 Selection of lubrication method................................................................................ 8 Figure 3-8 Module conversion ................................................................................................... 8 Figure 3-9 Calculation of centre distance .................................................................................. 8 Figure 3-10 Double helcial gear gap definition ......................................................................... 8 Figure 3-11 Sizing function for helix angle ............................................................................... 9 Figure 3-12 Definition of gear offset ......................................................................................... 9 Figure 3-13 Sizing of profile shift.............................................................................................. 9 Figure 3-14 Calculation of profile shift based on gear measurements..................................... 10 Figure 3-15 Definition of Khbeta calculation .......................................................................... 10 Figure 3-16 Selection of load spectrum ................................................................................... 11 Figure 3-17 Definition of lubricant temperature ...................................................................... 11 Figure 3-18 Gear data details ................................................................................................... 11 Figure 3-19 Definition of referece profiles of gear or tool ...................................................... 11 Figure 3-20 Selection of reference profile, tool or gear ........................................................... 11 Figure 3-21 Selection for final or preliminary machining ....................................................... 12 Figure 3-22 Selection of reference profile from database, user may add his own data to database .................................................................................................................................... 12 Figure 3-23 Tolerances, settings .............................................................................................. 12 Figure 3-24 Selection of tooth thickness tolerances from database, user may put his own data to database ................................................................................................................................ 12 Figure 3-25 Input of centre distance tolerances from database, user may put his own data to database .................................................................................................................................... 13 Figure 3-26 Calcualation of tolerances from gear measurement ............................................. 13 Figure 4-1 Additional calculation tabs added .......................................................................... 14 Figure 4-2 Tab for the definition of profile modifications....................................................... 14 Figure 4-3 Modifications available .......................................................................................... 15 Figure 4-4 Definition of start for correction, at tip .................................................................. 15 Figure 4-5 Definition of start for correction, at root ................................................................ 15 Figure 4-6 Chamfer definition.................................................................................................. 15 Figure 4-7 Grinding wheel definition....................................................................................... 15 Figure 4-8 Modification, tip relief............................................................................................ 16 Figure 4-9 Modification, root relief ......................................................................................... 16 Figure 4-10 Profile crowning / barreling.................................................................................. 17 Figure 4-11 Pressure angle modification ................................................................................. 17 Figure 4-12 Tab for the definition of the manufacturing process ............................................ 18 Figure 4-13 Gear geometry calculation, options...................................................................... 18 Figure 4-14 Tab for contact analysis........................................................................................ 19 Figure 4-15 Selection of mesh for path of contact calculation ................................................ 19
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 4 / 97
Figure 4-16 Calculation settings .............................................................................................. 19 Figure 4-17 Tab for calculation of operating backlash ............................................................ 20 Figure 4-18 Selection of accuracy class standard .................................................................... 20 Figure 4-19 Selection of housing material from database, user may add his own data to database .................................................................................................................................... 20 Figure 4-20 Tab for calculation and analysis of master gears.................................................. 21 Figure 4-21 Settings for master gear calculation ..................................................................... 21 Figure 4-22 Tab for scuffing calculation along AGMA925 .................................................... 21 Figure 4-23 Settings for mass temperature calculation............................................................ 21 Figure 4-24 Settings for scuffing temperature calculation....................................................... 22 Figure 4-25 Method selection for calculation of coefficient of friction................................... 22 Figure 4-26 Settings for display............................................................................................... 22 Figure 4-27 Settings for gear pump analysis............................................................................ 22 Figure 4-28 Selection of operation method.............................................................................. 22 Figure 5-1 Rough sizing functions, proposing gear sets .......................................................... 23 Figure 5-2 Fine sizing function for optimising gear macro geometry within a given parameter space ......................................................................................................................................... 23 Figure 5-3 Settings for fine sizing............................................................................................ 24 Figure 5-4 List of solutions generated, maximum 9999 solutions........................................... 24 Figure 5-5 Graphical display of solutions and their properties ................................................ 25 Figure 6-1 Gear mesh, circles .................................................................................................. 26 Figure 6-2 Display of two variants of gear geometry simultaneously, for comparison........... 26 Figure 6-3 Accurate gear geometry for export to CAD or CNC.............................................. 27 Figure 6-4 Geometry of generating rack .................................................................................. 27 Figure 6-5 Generating rack meshing with gear ........................................................................ 28 Figure 6-6 Gear drawing schematic ......................................................................................... 28 Figure 6-7 Gear 3D data export................................................................................................ 29 Figure 6-8 Display of premachining (protuberance cutter) and final machining (grinding) in one graph .................................................................................................................................. 29 Figure 6-9 Showing gear geometry simultaneously for different profile shifts (x1= 0.2485, -0.2485, 0.00, 1.00, -1.00........................................................................................................... 30 Figure 6-10 Specific sliding ..................................................................................................... 30 Figure 6-11 Flash temperature course...................................................................................... 31 Figure 6-12 Shear stress course................................................................................................ 31 Figure 6-13 S-N curve used, root ............................................................................................. 32 Figure 6-14 S-N curve used, flank ........................................................................................... 32 Figure 6-15 Safety factors vs. usage time ................................................................................ 33 Figure 6-16 Theoretical meshing stiffnes................................................................................. 33 Figure 6-17 Transmission error................................................................................................ 34 Figure 6-18 Contact force course ............................................................................................. 34 Figure 6-19 Torque variation due to transmission error .......................................................... 35 Figure 6-20 True stiffness course............................................................................................. 35 Figure 6-21 Bearing force variation due to transmission error ................................................ 36 Figure 6-22 Bearing force deviation, %, due to transmission error ........................................ 36 Figure 6-23 Bearing force direction variation, due to transmission error ............................... 37 Figure 6-24 True kinematic properties..................................................................................... 37 Figure 6-25 True specific sliding on flank ............................................................................... 38 Figure 6-26 Power loss in mesh ............................................................................................... 38 Figure 6-27 Heat dissipation on flanks .................................................................................... 39 Figure 6-28 Local heat generation on flank ............................................................................. 40
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 5 / 97
Figure 6-29 True contact and true root stresses due to load sharing compared with theoretical stress levels............................................................................................................................... 40 Figure 6-30 True root stress course.......................................................................................... 41 Figure 8-1 General module specific settings............................................................................ 41 Figure 8-2 Settings for plastic gear calculations ...................................................................... 42 Figure 8-3 Settings for sizing functions ................................................................................... 43 Figure 8-4 Settings for general calculations............................................................................. 44 Figure 8-5 Settings for required safety factors......................................................................... 45 Figure 8-6 Settings for gear rating ........................................................................................... 46 Figure 0-1 Hardness conversion tool ....................................................................................... 47 Figure 0-2 Tooth thickness calculation for given diameter...................................................... 47 Figure 0-3 Calculation of contact temperature along AGMA925............................................ 48 Figure 0-4 Calculation of EHD thickness along AGMA925 ................................................... 48 Figure 0-5 Calculation of true contact stress along AGMA925............................................... 49 Figure 0-6 Calculation of lambda value along AGMA925...................................................... 49 Figure 0-7 Gear pump enclosed volume .................................................................................. 50 Figure 0-8 Gear pump pressure course .................................................................................... 50 Figure 0-9 Gear pump inlet volume ......................................................................................... 51 Figure 0-10 Gear pump opening volume ................................................................................. 51 Figure 0-11 Gear pump oil inlet............................................................................................... 52 Figure 0-12 Frequency analysis of oil inlet.............................................................................. 52 Figure 0-13 Volume under inlet pressure................................................................................. 53 Figure 0-14 Gear pump wear properties .................................................................................. 53 Figure 9-1 Calculations for single gear .................................................................................... 54 Figure 9-2 Rack and pinion calculation ................................................................................... 55 Figure 9-3 Geometry definition for planetary sets ................................................................... 55 Figure 9-4 Calcualtion of centre points.................................................................................... 56 Figure 9-5 3D Export of ........................................................................................................... 56 Figure 9-6 Calculation of chain of three gears, one idler......................................................... 57 Figure 9-7 3D export of three gears chain................................................................................ 58 Figure 9-8 Chain of four gears, two idlers ............................................................................... 59 Figure 9-9 3D export of chain of four gears............................................................................. 59
1.3 Document change record4.1, 6.1 Revision Datum Wer Kommentare 0 18.12.2008 HD Originaldokument 1 2 3 18.2.08 HD Section 4.1, 6.1, graphics added
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 6 / 97
2 Basic tabs
2.1 Overview
Figure 2-1 Over view, basic tabs, cylindrical gear pair calculation
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 7 / 97
2.2 Tab „Basic data“
Figure 2-2 Basic gear data, load data and lubricant data input
Figure 2-3 Definition of helical and double helical gearing
Figure 2-4 Selection of rating method
Figure 2-5 Selection of gear material from database, user may add his own data to database
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 8 / 97
Figure 2-6 Selection of lubricant, user may add his own lubricant data to database.
Figure 2-7 Selection of lubrication method
Figure 2-8 Module conversion
Figure 2-9 Calculation of centre distance
Figure 2-10 Double helcial gear gap definition
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 9 / 97
Figure 2-11 Sizing function for helix angle
Figure 2-12 Definition of gear offset
Figure 2-13 Sizing of profile shift
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 10 / 97
Figure 2-14 Calculation of profile shift based on gear measurements
Figure 2-15 Definition of Khbeta calculation
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 11 / 97
Figure 2-16 Selection of load spectrum
Figure 2-17 Definition of lubricant temperature
Figure 2-18 Gear data details
2.3 Tab „Reference profile“
Figure 2-19 Definition of referece profiles of gear or tool
Figure 2-20 Selection of reference profile, tool or gear
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 12 / 97
Figure 2-21 Selection for final or preliminary machining
Figure 2-22 Selection of reference profile from database, user may add his own data to database
2.4 Tab „Tolerances“
Figure 2-23 Tolerances, settings
Figure 2-24 Selection of tooth thickness tolerances from database, user may put his own data to database
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 13 / 97
Figure 2-25 Input of centre distance tolerances from database, user may put his own data to database
Figure 2-26 Calcualation of tolerances from gear measurement
3 Additional tabs
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 14 / 97
Figure 3-1 Additional calculation tabs added
3.1 Tab “Modifications”
Figure 3-2 Tab for the definition of profile modifications
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 15 / 97
Figure 3-3 Modifications available
Figure 3-4 Definition of start for correction, at tip
Figure 3-5 Definition of start for correction, at root
Figure 3-6 Chamfer definition
Figure 3-7 Grinding wheel definition
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 16 / 97
Figure 3-8 Modification, tip relief
Figure 3-9 Modification, root relief
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 17 / 97
Figure 3-10 Profile crowning / barreling
Figure 3-11 Pressure angle modification
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 18 / 97
3.2 Tab “Tooth form”
Figure 3-12 Tab for the definition of the manufacturing process
Figure 3-13 Gear geometry calculation, options
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 19 / 97
3.3 Tab “Path of contact”
Figure 3-14 Tab for contact analysis
Figure 3-15 Selection of mesh for path of contact calculation
Figure 3-16 Calculation settings
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 20 / 97
3.4 Tab “Operating backlash”
Figure 3-17 Tab for calculation of operating backlash
Figure 3-18 Selection of accuracy class standard
Figure 3-19 Selection of housing material from database, user may add his own data to database
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 21 / 97
3.5 Tab „Master Gear“
Figure 3-20 Tab for calculation and analysis of master gears
Figure 3-21 Settings for master gear calculation
3.6 Tab “AGMA925”
Figure 3-22 Tab for scuffing calculation along AGMA925
Figure 3-23 Settings for mass temperature calculation
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 22 / 97
Figure 3-24 Settings for scuffing temperature calculation
Figure 3-25 Method selection for calculation of coefficient of friction
Figure 3-26 Settings for display
3.7 Tab “Path of contact”, gear pump calculation
Figure 3-27 Settings for gear pump analysis
Figure 3-28 Selection of operation method
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 23 / 97
4 Sizing functions
Figure 4-1 Rough sizing functions, proposing gear sets
Figure 4-2 Fine sizing function for optimising gear macro geometry within a given parameter space
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 24 / 97
Figure 4-3 Settings for fine sizing
Figure 4-4 List of solutions generated, maximum 9999 solutions
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 25 / 97
Figure 4-5 Graphical display of solutions and their properties
5 Graphics
5.1 Geometry
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 26 / 97
Figure 5-1 Gear mesh, circles
Figure 5-2 Display of two variants of gear geometry simultaneously, for comparison
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 27 / 97
Figure 5-3 Accurate gear geometry for export to CAD or CNC
Figure 5-4 Geometry of generating rack
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 28 / 97
Figure 5-5 Generating rack meshing with gear
Figure 5-6 Gear drawing schematic
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 29 / 97
Figure 5-7 Gear 3D data export
Figure 5-8 Display of premachining (protuberance cutter) and final machining (grinding) in one graph
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 30 / 97
Figure 5-9 Showing gear geometry simultaneously for different profile shifts (x1= 0.2485, -0.2485, 0.00, 1.00, -1.00
5.2 Evaluation
Figure 5-10 Specific sliding
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 31 / 97
Figure 5-11 Flash temperature course
Figure 5-12 Shear stress course
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 32 / 97
Figure 5-13 S-N curve used, root
Figure 5-14 S-N curve used, flank
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 33 / 97
Figure 5-15 Safety factors vs. usage time
Figure 5-16 Theoretical meshing stiffnes
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 34 / 97
5.3 Path of contact
Figure 5-17 Transmission error
Figure 5-18 Contact force course
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 35 / 97
Figure 5-19 Torque variation due to transmission error
Figure 5-20 True stiffness course
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 36 / 97
Figure 5-21 Bearing force variation due to transmission error
Figure 5-22 Bearing force deviation, %, due to transmission error
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 37 / 97
Figure 5-23 Bearing force direction variation, due to transmission error
Figure 5-24 True kinematic properties
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 38 / 97
Figure 5-25 True specific sliding on flank
Figure 5-26 Power loss in mesh
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 39 / 97
Figure 5-27 Heat dissipation on flanks
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 40 / 97
Figure 5-28 Local heat generation on flank
Figure 5-29 True contact and true root stresses due to load sharing compared with theoretical stress levels
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 41 / 97
Figure 5-30 True root stress course
6 Databases See document General-Windows.doc
7 Module specific settings
7.1 Module specific settings
Figure 7-1 General module specific settings
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 42 / 97
Figure 7-2 Settings for plastic gear calculations
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 43 / 97
Figure 7-3 Settings for sizing functions
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 44 / 97
Figure 7-4 Settings for general calculations
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 45 / 97
Figure 7-5 Settings for required safety factors
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 46 / 97
Figure 7-6 Settings for gear rating
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 47 / 97
Additional calculation output
7.2 Hardness conversion
Figure 0-1 Hardness conversion tool
7.3 Tooth thickness
Figure 0-2 Tooth thickness calculation for given diameter
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 48 / 97
7.4 Scuffing analysis along AGMA925
Figure 0-3 Calculation of contact temperature along AGMA925
Figure 0-4 Calculation of EHD thickness along AGMA925
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 49 / 97
Figure 0-5 Calculation of true contact stress along AGMA925
Figure 0-6 Calculation of lambda value along AGMA925
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 50 / 97
7.5 Gear pump analysis
Figure 0-7 Gear pump enclosed volume
Figure 0-8 Gear pump pressure course
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 51 / 97
Figure 0-9 Gear pump inlet volume
Figure 0-10 Gear pump opening volume
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 52 / 97
Figure 0-11 Gear pump oil inlet
Figure 0-12 Frequency analysis of oil inlet
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 53 / 97
Figure 0-13 Volume under inlet pressure
Figure 0-14 Gear pump wear properties
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 54 / 97
8 Other helical gear types Note: only those tabs that are different to gear pair calculation are shown
8.1 Single gear
Figure 8-1 Calculations for single gear
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 55 / 97
8.2 Rack and pinion
Figure 8-2 Rack and pinion calculation
8.3 Planetary calculation
Figure 8-3 Geometry definition for planetary sets
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 56 / 97
Figure 8-4 Calcualtion of centre points
Figure 8-5 3D Export of
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 57 / 97
8.4 Chain of three gears (one idler)
Figure 8-6 Calculation of chain of three gears, one idler
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 58 / 97
Figure 8-7 3D export of three gears chain
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 59 / 97
8.5 Chain of four gears (two idlers)
Figure 8-8 Chain of four gears, two idlers
Figure 8-9 3D export of chain of four gears
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 60 / 97
9 Reports
9.1 General report
KISSsoft - Release 03-2008 KISSsoft Evaluationsversion File Name : CylGearPair 1 (spur gear) Description: KISSsoft example Changed by : HD on: 31.01.2008 at : 10:40:18 CYLINDRICAL GEAR CALCULATION (GEAR PAIR) Drawing or article number: Gear 1: 0.000.0 Gear 2: 0.000.0 Calculation-method ISO 6336:2006 Method B ------- GEAR 1 -------- GEAR 2 -- Nominal power (kW) [P] 75.000 Speed (1/min) [n] 440.8 145.0 Torque (Nm) [T] 1624.8 4939.3 Application factor [KA] 1.25 Service life in hours [H] 20000.00 Gear driving (+) / driven (-) + - 1. TOOTH GEOMETRY AND MATERIAL (Geometry calculation according DIN 3960) ------- GEAR 1 -------- GEAR 2 -- Centre distance (mm) [a] 303.000 Centre distance tolerances ISO 286 Measure js6 Normal module (mm) [mn] 6.0000 Pressure angle at normal section (°) [alfn] 20.0000 Helix angle at Pitch diameter (°) [beta] 0.0000 Number of teeth [z] 25 76 Facewidth (mm) [b] 44.00 44.00 Accuracy grade [Q-ISO1328 ] 6 6 Inner diameter of ring (mm) [dRing] 0.00 0.00 Internal diameter gearbody (mm) [di] 50.00 90.00 Material Gear 1: 18CrNiMo7-6, Case-carbur ized steel, case-hardened DIN 3990-5 Figure 4a/4b (MQ), core strength >=28HRC Gear 2: 18CrNiMo7-6, Case-carbur ized steel, case-hardened DIN 3990-5 Figure 4a/4b (MQ), core strength >=28HRC ------- GEAR 1 -------- GEAR 2 -- Surface hardness HRC 61 HRC 61 Material treatment according to ISO 6336: Normal (L ife faktors ZNT and YNT >=0.85) Fatigue str. tooth root tension (N/mm²) [sigFlim] 430.00 430.00 Fatigue str. Hertzian stress (N/mm²) [sigHlim] 1500.00 1500.00 Tensile strength (N/mm²) [Rm] 1200.00 1200.00 Yield point (N/mm²) [Rp] 850.00 850.00 Youngs modulus (N/mm²) [E] 206000 206000 Poisson's ratio [ny] 0.300 0.300 Average roughness, Ra, tooth flank (µm) [RAH] 0.60 0.60 Mean roughness height, Rz, flank (µm) [RZH] 4.80 4.80 Mean roughness height, Rz, root (µm) [RZF] 20.00 20.00 Input for gear 1: Bezugsprofil Zahnrad Reference Profile 1.25 / 0.38 / 1.0 ISO 53.2 Profil A Addendum factor [haP*] 1.000 Dedendum coefficient [hfP*] 1.250 Tip radius factor [rhoaP *] 0.000
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 61 / 97
Root radius factor [rhofP *] 0.380 Addendum form factor [hFaP* ] 0.000 Protuberance height factor [hprP* ] 0.000 Protuberance angle [alfpr P] 0.000 Ramp angle [alfKP ] 0.000 not topping Input for gear 2: Bezugsprofil Zahnrad Reference Profile 1.25 / 0.38 / 1.0 ISO 53.2 Profil A Addendum factor [haP*] 1.000 Dedendum coefficient [hfP*] 1.250 Tip radius factor [rhoaP *] 0.000 Root radius factor [rhofP *] 0.380 Addendum form factor [hFaP* ] 0.000 Protuberance height factor [hprP* ] 0.000 Protuberance angle [alfpr P] 0.000 Ramp angle [alfKP ] 0.000 not topping Zusammenfassung Bezugsprofil der Zahnräder: Dedendum reference profile (module) [hfP*] 1.250 1.250 Tooth root radius Refer. profile (module) [rofP*] 0.380 0.380 Addendum Reference profile (module) [haP*] 1.000 1.000 Protuberance height (module) [hk*] 0.000 0.000 Protuberance angle (°) [alfPro] 0.000 0.000 Buckling root flank height (module) [hko*] 0.000 0.000 Buckling root flank angle (°) [alfnk] 0.000 0.000 Type of profile modification: No Tip relief (µm) [Ca] 2.00 2.00 Type of lubrication oil bath lubrication Type of oil Oil : ESSO Spartan EP-220 Lubricant base Min eral-oil base Kinem. viscosity oil at 40 °C (mm²/s) [nu40] 210.00 Kinem. viscosity oil at 100 °C (mm²/s) [nu100] 17.50 FZG-Test A/8.3/90 (ISO14653-1) [FZGtestA] 12 Specific density at 15 °C (kg/dm³) [roOil] 0.895 Oil temperature (°C) [theOil] 70.000 ambient temperature (°C) [theUmg] 20.000 ------- GEAR 1 -------- GEAR 2 -- Overall transmission ratio [itot] -3.040 Gear ratio [u] 3.040 Transverse module (mm) [mt] 6.000 Pressure angle at Pitch circle (°) [alft] 20.000 Working transverse pressure angle (°) [alfwt] 20.000 [alfwt.e/i ] 20.008 / 19.992 Base helix angle (°) [betab] 0.000 Reference centre distance (mm) [ad] 303.000 Sum of the Addendum modification [Summexi] 0.0000 Profile shift coefficient [x] 0.2485 -0.2485 Tooth thickness (Arc) (module) [sn*] 1.7517 1.3899 Modification of tip diam. (mm) [k*mn] 0.000 0.000 Reference diameter (mm) [d] 150.000 456.000 Base diameter (mm) [dB] 140.954 428.500 Tip diameter (mm) [da] 164.982 465.018 (mm) [da.e/i] 164.982 / 164.982 465.018 / 465.018 Tip diameter tolerance (mm) [Ada.e/i] 0.000 / 0.000 0.000 / 0.000 Tip chamfer/ tip rounding (mm) [Fased] 0.000 0.000 Tip form circle (mm) [dFa] 164.982 465.018 (mm) [dFa.e/i] 164.982 / 164.982 465.018 / 465.018 Operating pitch diameter (mm) [dw] 150.000 456.000 (mm) [dw.e/i] 150.008 / 149.992 456.024 / 455.976 Root diameter (mm) [df] 137.982 438.018 Generating Profile shift coefficient [xE.e/i] 0.2267 / 0.2153 -0.2783 / -0.2920 Manufactured root diameter with xE (mm) [df.e/i] 137.721 / 137.584 437.661 / 437.496 Theoretical tip clearence (mm) [c] 1.500 1.500 Effective tip clearence (mm) [c.e/i] 1.777 / 1.663 1.715 / 1.615 Active root diameter (mm) [dNf] 143.447 445.399 (mm) [dNf.e/i] 143.464 / 143.430 445.425 / 445.374 Root form circle (mm) [dFf] 143.143 442.935 (mm) [dFf.e/i] 143.012 / 142.945 442.672 / 442.551
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 62 / 97
Reserve (dNf-dFf)/2 (mm) [rNf-rFf.e/i] 0.260 / 0.209 1.437 / 1.351 Addendum (mm) [ha] 7.491 4.509 (mm) [ha.e/i] 7.491 / 7.491 4.509 / 4.509 Dedendum (mm) [hf] 6.009 8.991 (mm) [hf.e/i] 6.140 / 6.208 9.170 / 9.252 Roll angle at dFa (°) [xsi_dFa.e/i] 34.851 / 34.851 24.153 / 24.153 Roll angle to dNf (°) [xsi_dNf.e/i] 10.862 / 10.786 16.262 / 16.237 Roll angle to dNa (°) [xsi_dNa.e/i] 34.851 / 34.851 24.153 / 24.153 Roll angle to dNf (°) [xsi_dNf.e/i] 10.862 / 10.786 16.262 / 16.237 Roll angle at dFf (°) [xsi_dFf.e/i] 9.826 / 9.663 14.857 / 14.793 Tooth depth (mm) [H] 13.500 13.500 Virtual gear no. of teeth [zn] 25.000 76.000 Normal Tooth thickness at Tip cyl. (mm) [san] 3.824 4.923 (mm) [san.e/i] 3.720 / 3.665 4.790 / 4.729 Normal Tooth space as Tip cylinder (mm) [efn] 0.000 4.921 (mm) [efn.e/i] 0.000 / 0.000 4.967 / 4.988 Max. sliding speed at tip (m/s) [vga] 1.056 0.757 Specific sliding at the tip [zetaa] 0.534 0.552 Specific sliding at the root [zetaf] -1.232 -1.145 Sliding factor on tip [Kga] 0.305 0.219 Sliding factor on root [Kgf] -0.219 -0.305 Pitch (mm) [pt] 18.850 Base pitch (mm) [pbt] 17.713 Transverse pitch on contact-path (mm) [pet] 17.713 Length of path of contact (mm) [ga, e/i] 29.555 (29.602 / 29.509) Length T1-A, T2-A (mm) [T1A, T2A] 13. 314(13.267/13.361) 90.318(90.318/90.318) Length T1-B (mm) [T1B, T2B] 25. 156(25.156/25.156) 78.476(78.429/78.523) Length T1-C (mm) [T1C, T2C] 25. 652(25.640/25.663) 77.981(77.945/78.016) Length T1-D (mm) [T1D, T2D] 31. 027(30.980/31.073) 72.606(72.606/72.606) Length T1-E (mm) [T1E, T2E] 42. 869(42.869/42.869) 60.763(60.716/60.810) Length T1-T2 (mm) [T1T2] 103.632 (103.585 / 103.679) Diameter of single contact point B (mm) [d-B] 149 .664(149.664/149.664) 456.340(456.307/456.372) Diameter of single contact point D (mm) [d-D] 154 .008(153.971/154.046) 452.436(452.436/452.436) Addendum contact ratio [eps] 0.972( 0.973/ 0.971) 0.697( 0.699/ 0.695) Minimal length of contact line (mm) [Lmin] 44.000 Transverse contact ratio [eps_a] 1.669 Transverse contact ratio, effective [eps_a.e/m /i] 1.671 / 1.669 / 1.666 Overlap ratio [eps_b] 0.000 Total contact ratio [eps_g] 1.669 Total contact ratio, effective [eps_g.e/m /i] 1.671 / 1.669 / 1.666 2. FACTORS OF GENERAL INFLUENCE ------- GEAR 1 -------- GEAR 2 -- Nominal circum. force at pitch circle (N) [Ft] 21663.6 Axial force (N) [Fa] 0.0 Radial force (N) [Fr] 7884.9 Normal force (N) [Fnorm] 23053.9 Tangent.load at p.c.d.per mm (N/mm) (N/mm) [w] 492.35 Only for information: Forces at the pitch-circle : Nominal circumferential force (N) [Ftw] 21663.6 Axial force (N) [Faw] 0.0 Radial force (N) [Frw] 7884.9 Circumferential speed pitch d.. (m/sec) [v] 3.46 Running in value y.a (µm) [ya] 1.0 Correction coefficient [CM] 0.800 Gear body coefficient [CR] 0.935 Reference profile coefficient [CBS] 1.000 Material coefficient [E/Est] 1.000 Singular tooth stiffness (N/mm/µm) [c'] 13.406 Meshing spring stiffness (N/mm/µm) [cgalf] 20.129 Meshing spring stiffness (N/mm/µm) [cgbet] 17.110 Reduced mass (kg/mm) [mRed] 0.072 Resonance speed (min-1) [nE1] 6380 Nominal speed (-) [N] 0.069 Subcritical range Bearing distance l of pinion shaft (mm) [l] 88.000 Distance s of pinion shaft (mm) [s] 8.800 Outside diameter of the pinion shaft (mm) [dsh] 44.000
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 63 / 97
load according ISO 6336/1 Diagram 16 [-] 4 0:a), 1:b), 2:c), 3:d), 4:e) Coefficient K' following ISO 6336/1 Diagram 13 [K'] -0.60 With support effect Tooth trace deviation (active) (µm) [Fby] 5.98 from deformation of shaft (µm) [fsh*B1] 2.99 Tooth without tooth trace correction Position of Contact pattern: Favorable from production tolerances (µm) [fma*B2] 14.87 Tooth trace deviation, theoretical (µm) [Fbx] 7.03 Running in value y.b (µm) [yb] 1.05 Dynamic coefficient [KV] 1.026 Face coefficient - flank [KHb] 1.081 - Tooth root [KFb] 1.057 - Scuffing [KBb] 1.081 Transverse coefficient - flank [KHa] 1.000 - Tooth root [KFa] 1.000 - Scuffing [KBa] 1.000 Helix angle coefficient scuffing [Kbg] 1.000 No of load changes (in mio.) [NL] 528.960 174.000 3. TOOTH ROOT STRENGTH ------- GEAR 1 -------- GEAR 2 -- Calculation of Tooth form coefficients according me thod: B (Calculate tooth shape coefficient YF with addendum mod. x) Tooth form factor [YF] 1.18 1.38 Stress correction factor [YS] 2.17 1.96 working angle (°) [alfen] 20.36 19.08 Bending lever arm (mm) [hF] 5.40 6.51 Tooth thickness at root (mm) [sFn] 12.80 13.05 Tooth root radius (mm) [roF] 2.89 3.26 (hF* = 0.899/1.085 sFn* = 2.133/2.175 roF* = 0.48 2/0.544 dsFn = 140.134/440.589) Contact ratio factor [Yeps] 1.000 Helix angle factor [Ybet] 1.000 Deep tooth factor [YDT] 1.000 Gear rim factor [YB] 1.000 1.000 Effective facewidth (mm) [beff] 44.00 44.00 Nominal shear stress at tooth root (N/mm²) [sigF0] 210.84 222.68 Tooth root stress (N/mm²) [sigF] 285.72 301.75 Permissible bending stress at root of Test-gear support factor [YdrelT] 0.997 0.995 Surface-factor [YRrelT] 0.957 0.957 Size coefficient (Tooth root) [YX] 0.990 0.990 Limited-life factor [YNT] 0.902 0.922 Alternating bending coefficient [Kwb] 1.000 1.000 Stress correction factor [Yst] 2.00 Limit strength tooth root (N/mm²) [sigFG] 732.33 747.23 Zulässige Zahnfussspannung (N/mm²) [sigFP=sigFG/S Fmin] 523.09 533.73 Required safety [SFmin] 1.40 1.40 Safety for Tooth root stress [SF=sigFG/ sigF] 2.56 2.48 Transmittable power (kW) [kWRating] 137.31 132.66 4. SAFETY AGAINST PITTING (TOOTH FLANK) ------- GEAR 1 -------- GEAR 2 -- Zone factor [ZH] 2.495 Elasticity coefficient (N^.5/mm) [ZE] 189.812 Contact ratio factor [Zeps] 0.882 Helix angle factor [Zbet] 1.000 Effective facewidth (mm) [beff] 44.00 Nominal flank pressure (N/mm²) [sigH0] 871.80 Surface pressure at Operating pitch diameter (N/mm² ) [sigHw] 1026.38 Single tooth contact factor [ZBD] 1.01 1.00 Surface pressure on flank (N/mm²) [sigH] 1033.16 1026.38
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 64 / 97
Lubrication factor [ZL] 1.017 1.017 Speed factor [ZV] 0.974 0.974 Roughness factor [ZR] 0.980 0.980 Material mating factor [ZW] 1.000 1.000 Limited-life factor [ZNT] 0.930 0.962 Small amount of pitting permissible (0=no, 1=yes) 0 0 Size coefficient (flank) [ZX] 1.000 1.000 Limit strength pitting (N/mm²) [sigHG] 1354.32 1401.30 Permissible surface pressure (N/mm²) [sigHP=sigHG/S Hmin] 1354.32 1401.30 Safety for surface pressure at pitch diameter [SHw] 1.32 1.37 Required safety [SHmin] 1.00 1.00 Transmittable power (kW) [kWRating] 128.87 139.80 Safety for stress at single tooth contact [SH=sigHG/ sigH] 1.31 1.37 5. STRENGTH AGAINST SCUFFING Calculation method according DIN3990 Lubrication coefficient (Scoring) [XS] 1.000 Relative structure coefficient (Scoring) [XWrelT] 1.000 Therm. contact factor (N/mm/s^.5/K) [BM] 13.795 13.795 Effective facewidth (mm) [beff] 44.000 Applicable circumferential force/tooth width [wbt] 682.443 Angle factor [Xalfbet] 0.978 (eps1: 0.972, eps2: 0.697) Flashtemperature-criteria (DIN3990) Tooth mass temperature (°C) [theM-B] 85.83 theM-B = theoil + XS*0.47*theflamax [theflamax ] 33.67 Scuffing temperature (°C) [theS] 409.36 Coordinate gamma (point of highest temp.) [Gamma] -0.481 Highest contact temp. (°C) [theB] 119.50 Flash factor [XM] 50.002 Geometry-factor [XB] 0.314 Distribution factor [XGam] 0.333 Coefficient of friction [mymy] 0.111 Required safety [SBmin] 2.000 Safety coefficient for scuffing (flash-temp) [SB] 6.855 Integraltemperature-criteria (DIN3990) Tooth mass temperature (°C) [theM-C] 81.16 theM-C = theoil + XS*0.70*theflaint [theflaint ] 15.95 Integral scuffing temperature (°C) [theSint] 409.36 Flash factor [XM] 50.002 Contact ratio factor [Xeps] 0.230 Mean coefficient of friction [mym] 0.082 Geometry-factor [XBE] 0.298 Meshing factor [XQ] 1.000 Tip relief-factor [XCa] 1.028 Integral-tooth flank temperature (°C) [theint] 105.09 Required safety [SSmin] 1.800 Safety coefficient for scuffing (intg.-temp.) [SSint] 3.895 Safety referring to transfered torque [SSL] 9.671 6. TOOTH THICKNESS DIMENSIONS ------- GEAR 1 -------- GEAR 2 -- Tooth thickness tolerance DIN3967 cd25 DIN3967 cd25 Tooth thickness allowance (normal section) (mm) [As.e/i] -0.095 / -0.145 -0.130 / -0.190 No of teeth over which to measure [k] 4.000 8.000 Base tangent length ('span') (no backlash) (mm) [Wk] 65.115 138.213 Actual base tangent length ('span') (mm) [Wk.e/i] 65.026 / 64.979 138.090 / 138.034 Diameter of contact point (mm) [dMWk.m] 155.220 450.192 Theor. ball/roller diameter (mm) [DM] 10.820 10.000 Actual ball/roller diameter (mm) [DMeff] 11.000 10.000 Theor. dim. centre to ball (mm) [MrK] 84.452 233.180 Actual dimension centre to ball (mm) [MrK.e/i] 84.353 / 84.300 233.002 / 232.920 Diameter of contact point (mm) [dMMr.m] 153.042 452.604 Theor. dimension over two balls (mm) [MdK] 168.592 466.361
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 65 / 97
Actual dimension over balls (mm) [MdK.e/i] 168.394 / 168.289 466.005 / 465.839 Actual dimension over rolls (mm) [MdR.e/i] 168.394 / 168.289 466.005 / 465.839 Actual dimensions over 3 rolls (mm) [Md3R.e/i] 168.083 / 167.979 0.000 / 0.000 Chordal tooth thickness (no backlash) (mm) ['sn] 10.502 8.339 Actual chordal tooth thickness (mm) ['sn.e/i] 10.407 / 10.357 8.209 / 8.149 Höhe über der Sehne ab da.m (mm) [ha] 7.675 4.547 Tooth thickness (Arc) (mm) [sn] 10.510 8.339 (mm) [sn.e/i] 10.415 / 10.365 8.209 / 8.149 Axial Distance Without Backlash (mm) [aControl.e/i] 302.691 /302.540 Backlash free centre-distance, Tolerances (mm) [jta] -0.309 / -0.460 Centre distance deviation (mm) [Aa.e/i] 0.016 / -0.016 Circumferential backlash from Aa [jt_Aa.e/i ] 0.012 / -0.012 Radial clearance (mm) [jr] 0.476 / 0.293 Circumferential backlash (mm) [jt] 0.347 / 0.213 Normal backlash (mm) [jn] 0.326 / 0.200 7. TOLERANCES ------- GEAR 1 -------- GEAR 2 -- According ISO 1328: Accuracy grade [Q-ISO1328 ] 6 6 Single pitch deviation (µm) [fpt] 10.00 11.00 Single pitch deviation (µm) [fpb] 9.50 10.00 Cumulative circular pitch error over z/8 pitches (µ m) [Fpz/8] 17.00 25.00 Profile deviation (µm) [ffa] 12.00 13.00 Profile angular deviation (µm) [fHa] 9.50 11.00 Profile total deviation (µm) [Fa] 15.00 17.00 Helix form deviation (µm) [ffb] 10.00 11.00 Helix slope deviation (µm) [fHb] 10.00 11.00 Tooth helix deviation (µm) [Fb] 15.00 15.00 Total cumulative pitch deviation (µm) [Fp] 36.00 47.00 Runout tolerance (µm) [Fr] 29.00 38.00 Total radial composite tolerance (µm) [Fi"] 51.00 60.00 Tooth-to-tooth radial composite tolerance (µm) [fi"] 22.00 22.00 Total tangential composite deviation (µm) [Fi'] 57.00 70.00 Tooth-to-tooth tangential composite deviation (µm) [fi'] 21.00 23.00 Tolerance for alignment of axes (recommendation acc . ISO/TR 10064) Maximum value for deviation error of axis (µm) [fSigbet] 14.87 Maximum value for inclination error of axes (µm) [fSigdel] 29.74 8. ADDITIONAL DATA Torsional Stiffness (MNm/rad) [cr] 4.4 40.7 Medium coef. of friction (acc. Niemann) [mum] 0.061 Wear sliding coef. by Niemann [zetw] 0.903 Power loss from gear load (kW) [PVZ] 0.580 (Meshing efficiency (%) [etaz] 99.227) Weight (g) [Mass] 6688.62 56320.11 Inertia (System referenced to wheel 1): calculation without consideration of the exact too th shape single gears ((da+df)/2...di) (kgm²) [TraeghMo m] 0.01752 1.40082 System ((da+df)/2...di) (kgm²) [TraeghMo m] 0.16910 9. MANUFACTURING Calculation of Gear 1 Gear 1 (Step 1): Automatically (Tool: Hobbing/Milli ng cutter) haP*= 1.027, hfP*= 1.250, rofP*= 0.380 Calculation of Gear 2 Gear 2 (Step 1): Automatically (Tool: Hobbing/Milli ng cutter) haP*= 1.037, hfP*= 1.250, rofP*= 0.380
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 66 / 97
REMARKS: - Specifications with [.e/i] imply: Maximum [e] and Minimul value [i] with consideration of all tolerances Angaben mit [.m] bedeuten: Mittelwert in der Tole ranz - For the backlash tolerance, the center distance t olerances and the tooth thickness deviation are taken into account. The maximum and the minimum backlash respective to the max. and min. tolerances are indicated. The calculation is done for the pitch diameter.. - Details of calculation method: cg according to method B KV according to method B KHb, KFb according methode C fma following equation (64), Fbx following (52/53 /57) KHa, KFa according to method B End report lines: 466
9.2 Gear data summary
KISSsoft/Hirnware Rel. 04-2006 KISSsoft-Hirnware Evaluationsversion File name : C:/Programme/KISSsoft-Hirnware 04-200 6/usr/example/Example 1 (spur gear).Z12 Project : Date : 31.01.2008/11:16:14 User : Hanspeter Dinner Description : KISSsoft Data Set No.: MANUFACTURING DATA FOR CYLINDRICAL GEARS Number of teeth 25 Facewidth (mm) 44.000 Normal module (mm) 6.000 0 Helix angle (grd) 0.000 0 Pressure angle at normal section (grd) 20.000 0 Reference Profile 1.25 / 0.3 8 / 1.0 ISO 53.2 Profil A Dedendum reference profile (module) 1.250 Tooth root radius Refer. profile (module) 0.380 Addendum Reference profile (module) 1.000 Protuberance height (module) 0.000 Protuberance angle (°) 0.000 Accuracy grade according to DIN 3961 6 Addendum modification coefficient 0.248 5 Reference diameter (mm) 150.000 Tip diameter (mm) 164.982 ( 0.000 / -0.010) Root diameter (mm) 137.982 (-0.261 / -0.398) Tooth thickness tolerance DIN3967 cd 25 Tooth thickness deviation (upper) -0.095 _ in normal section (lower) -0.145 No of teeth over which to measure 4 Base tangent length ('span') (without back lash) 65.115 _ (upper) 65.026 _ (lower) 64.979 Pin diameter (mm) 11.000 Dimension over two rolls (upper) 168.394 _ (lower) 168.289 Chordal tooth thickness (without backlash) (without back lash) 10.502 (obere) 10.407 (untere) 10.357 Reference chordal height (mm) 7.673
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 67 / 97
End report lines : 53
9.3 Production tolerances
KISSsoft - Release 03-2008 KISSsoft Evaluationsversion File Name : CylGearPair 1 (spur gear) Description: KISSsoft example Changed by : HD on: 31.01.2008 at : 10:59:21 Manufacture-Tolerances Tolerances for helical gear sets ISO 1328-1:1994 Accuracy grade 6 6 Pitch single deviation (µm) +- 10.0 +- 11.0 (fpt) Normal base pitch deviation (µm) +- 9.5 +- 10.0 (fpb) Pitch total deviation (µm) 36.0 47.0 (Fp) Pitch tension deviation (µm) +- 17.0 +- 25.0 (Fpz/8) Profile total deviation (µm) 15.0 17.0 (Fa) Tooth trace total deviation (µm) 15.0 15.0 (Fb) Single flank tooth-to-tooth transmission error (µm) 21.0 23.0 (fi') Single flank comp. T.E. (µm) 57.0 70.0 (Fi') Profile deviation (µm) 12.0 13.0 (ffa) Profile angular deviation (µm) +- 9.5 +- 11.0 (fHa) Tooth trace form deviation. (µm) 10.0 11.0 (ffb) Tooth trace angular deviation (µm) +- 10.0 +- 11.0 (fHb) Tolerances for helical gear sets ISO 1328-2:1996 Concentricity dev. (µm) 29.0 38.0 (Fr) Double flank composite transmission error (µm) 51.0 60.0 (Fi'') Double flank tooth-to-tooth transmission error (µm) 22.0 22.0 (fi'') Tolerances for cylindrical gears DIN 3961:1978 Accuracy grade 6 6 Single deviations according DIN 3961 Profile deviation (µm) 10.0 10.0 (ff) Profile angular deviation (µm) 7.0 7.0 (fHa) Profile total deviation (µm) 13.0 13.0 (Ff) Normal base pitch deviation (µm) 9.0 10.0 (fpe) Pitch single deviation (µm) 9.0 10.0 (fp) Difference between adjacent pitches (µm) 11.0 12.0 (fu) Pitch total deviation (µm) 34.0 39.0 (Fp) Pitch tension deviation (µm) 22.0 25.0 (Fpz/8) Concentricity dev. (µm) 25.0 28.0 (Fr) Tooth thickness deviation (µm) 15.0 16.0 (Rs) Tooth trace total deviation (µm) 13.0 13.0 (Fb) Tooth trace angular deviation (µm) 10.0 10.0 (fHb) Tooth trace form deviation. (µm) 8.0 8.0 (fbf) Transmission error according DIN 3961 Double flank composite transmission error (µm) 28.0 32.0 (Fi'') Double flank tooth-to-tooth transmission error (µm) 12.0 14.0 (fi'') Single flank comp. T.E. (µm) 38.0 42.0 (Fi') Single flank tooth-to-tooth transmission error (µm) 15.0 16.0 (fi') Tolerances for cylindrical-gear tooth system Draft DIN 23961:2000 Accuracy grade 6 6 Profile angular deviation (µm) +- 9.5 +- 11.0 (fHa) Profile deviation (µm) 12.0 13.0 (ffa) Profile total deviation (µm) 15.0 17.0 (Fa) Tooth trace angular deviation (µm) +- 10.0 +- 10.0 (fHb) Tooth trace form deviation. (µm) 10.0 10.0 (ffb) Tooth trace total deviation (µm) 14.0 15.0 (Fb) Pitch deviation (µm) +- 10.0 +- 11.0 (fpt)
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 68 / 97
Pitch total deviation (µm) 36.0 47.0 (Fp) Total pitch deviation (µm) +- 20.0 +- 26.0 (Fpz/8) Concentricity dev. (µm) 29.0 38.0 (Fr) Double flank composite transmission error (µm) 51.0 60.0 (Fi'') Double flank tooth-to-tooth transmission error (µm) 22.0 22.0 (fi'') Single flank comp. T.E. (µm) 57.0 70.0 (Fi') Single flank tooth-to-tooth transmission error (µm) 21.0 23.0 (fi') Tolerances for spur and helical gears, ANSI/AGMA 20 15-1-A01:2001 Accuracy grade A6 A6 Single pitch deviation tolerance (µm) +- 11.0 +- 12.0 (fptT) Cumulativ pitch deviation tolerance (µm) 37.0 50.0 (FpT) Profile form tolerance (µm) 12.0 14.0 (ffaT) Profile slope tolerance (µm) 10.0 12.0 (fHaT) Profile tolerance, total (µm) 16.0 19.0 (FaT) Helix form tolerance (µm) 9.5 11.0 (ffbT) Helix slope tolerance (µm) 9.5 11.0 (fHbT) Helix tolerance, total (µm) 14.0 15.0 (FbT) Single flank composite tolerance, tooth-to-tooth (µ m) 3.7 5.0 (fisT) Single flank composite tolerance, total (µm) 41.0 55.0 (FisT) (AGMA <-> ISO: fptT <-> fpt, FpT <-> Fp, fisT <-> f i', FisT <-> Fi', FaT <-> Fa) ( : fHaT <-> fHa, ffaT <-> ffa, FbT <-> Fb, fHbT <-> fHb, ffbT <-> ffb) Tolerances for spur and helical gears, ANSI/AGMA 20 00-A88:1988 (Replaced by ANSI/AGMA 2015-1-A01 in 2001) Accuracy grade 11 11 Runout Radial Tolerance (µm) 41.0 53.0 (VrT) Pitch Variation Allowable (µm) 9.3 11.0 (Vpa) Profile Tolerance (µm) +- 14.0 +- 17.0 (VphiT) Tooth Alignment Tolerance (µm) 9.8 9.8 (VpsiT) Composite Tolerance, Tooth-to-Tooth (µm) 17.0 17.0 (VqT) Composite Tolerance, Total (µm) 57.0 70.0 (VcqT) (AGMA <-> ISO: VpA <-> fp, VrT <-> Fr, VpsiT <-> Fb , VqT <-> fi'', VcqT <-> Fi'') Tolerances for spur and helical gears, British Stan dard BS 436:Part 2:1977 Limits of tolerances Quality 6 6 Single pitch error (µm) 17.2 17.2 Maximum cumulative pitch error (µm) 44.7 73.2 Tooth profile error (µm) 10.9 11.4 Tooth alignment error (µm) 11.6 11.6 Radial run-out of teeth error (µm) 48.3 53.4 Dual flank composite tolerance limits Tooth to tooth composite error (µm) 19.4 21.4 Total composite error (µm) 68.5 75.7 Single flank composite tolerance limits Tooth to tooth composite error (µm) 28.0 28.6 Total composite error (µm) 55.5 84.6 Remark: mym := 10^-6 m ( mn 6.0 6.0 ) ( z 25 76 ) ( d 150.0 456.0 ) ( b 44.0 44.0 ) End report lines: 124
9.4 Tooth thickness
KISSsoft - Release 03-2008 KISSsoft Evaluationsversion File Name : CylGearPair 1 (spur gear) Description: KISSsoft example Changed by : HD on: 31.01.2008 at : 10:56:36
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 69 / 97
Calculation of CHORDAL TOOTH THICKNESS (normal toot h thickness) Diameter (mm) 15 0.000 456.000 Curve lengths: Tooth thickness, without backlash. (mm) 1 0.510 8.339 Tooth thickness., upper dev. (mm) 1 0.415 8.209 Tooth thickness, lower dev. (mm) 1 0.365 8.149 Tooth space, without backlash (mm) 8.339 10.510 Tooth space, upper allowance (mm) 8.434 10.640 Tooth space, lower allowance (mm) 8.484 10.700 Chordals: Reference chordal height (mm) 7.675 4.547 Tooth thickness, without backlash. (mm) 1 0.502 8.339 Tooth thickness., upper dev. (mm) 1 0.407 8.209 Tooth thickness, lower dev. (mm) 1 0.357 8.149 Tooth space, without backlash (mm) 8.335 10.509 Tooth space, upper allowance (mm) 8.430 10.639 Tooth space, lower allowance (mm) 8.480 10.699 End report lines: 32
9.5 Rating
KISSsoft - Release 03-2008 KISSsoft Evaluationsversion File Name : CylGearPair 1 (spur gear) Description: KISSsoft example Changed by : HD on: 31.01.2008 at : 11:15:30 Assessment of cylindrical gears pairs This assessment is for comparison during optimizati on (Optimization: KISSsoft-Module Z4, Z4a) (It can be said in general: the smaller the value t he better!) Variation Stiffness 5.4 59 Weight 63.0 09 kg Specific sliding 1.2 32 Slide speed 1.0 56 m/s AC/AE 0.4 17 Safety 0.5 50 Losses in %% (1.0-total efficiency) 0.7 73 Overall assessment (weighted) 0.2 78 (approx.!) Details to stiffness Calculate contact-stiffness from tooth-form Mean value according ISO: Single tooth-stiffness c' (N/mm/mym) 13.406 Total meshing-stiffness cg (N/mm/mym) 20.129 Overall assessment (weighted): 50.0%:s_Rig 20.0%:diff_i 10.0%:kg 35.0%:Slide 0.0%:v.Slide 0.0%:AC/AE 10.0%:1-eta 100.0%:Safety End report lines: 36
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 70 / 97
9.6 Load spectrum calculation
9.6.1 Summary
KISSsoft/Hirnware Rel. 04-2006 KISSsoft-Hirnware Evaluationsversion File name : C:/Programme/KISSsoft-Hirnware 04-200 6/usr/example/Example 1 (spur gear).Z12 Project : Date : 31.01.2008/11:18:12 User : Hanspeter Dinner Description : KISSsoft Data Set No.: Strength calculation with equivalent design load Nominal life (h): 20000.00 Load spectrum Nominal Power [P] 7 5.0000 kW Application factor [KA] 1.25 Load spectrum : Standardised load collective, e xponential distribution, p=1/2 Number of element in the Load spectrum: 8 Reference gear: 1 Element Frequency (%) Power (kW) Nominal Speed (rpm) Torque (Nm) 1 0.00020 75.00 440.80 1624.77 2 0.00100 70.35 440.80 1524.03 3 0.00640 65.63 440.80 1421.67 4 0.03400 60.97 440.80 1320.94 5 0.20000 56.25 440.80 1218.58 6 1.10000 51.60 440.80 1117.84 7 6.16000 46.88 440.80 1015.48 8 92.49840 42.22 440.80 914.74 Woehler-curve at the fatigue stress according: Min er Notice: Calculation-method according to: - ISO/TR 10495, chapter 6 - DIN 3990, part 6 During the calculation al the load-coefficients (IS O6336: KV, KHb, KFb; AGMA2001: Knu, Km, ..) for each load spectrum element are calculated separ ately. Notice: Calculation with methods ISO6336 and AGMA 2001 resu lts in a reduction of résistance in the domain of fatigue résistance (from circa 10^7 to 10^10 cycles with a reduction o f circa 15). The lifetime calculation takes this into acount (also with the Woehler Curve of the Miner type). Safety root: 3.82 3.74 Safety flank: 1.65 1.72 Safety scuffing (I.): 3.90 Safety scuffing (B.): 6.84 (Safety against scuffing is indicated for the weake st element of the equivalent design load.) End report lines : 54
9.6.2 Details
KISSsoft/Hirnware Rel. 04-2006 KISSsoft-Hirnware Evaluationsversion File name : C:/Programme/KISSsoft-Hirnware 04-200 6/usr/example/Example 1 (spur gear).Z12
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 71 / 97
Project : Date : 31.01.2008/11:18:12 User : Hanspeter Dinner Description : KISSsoft Data Set No.: Loop 1 Results (for check only): P [kW] 75.0000 NL calculated with Safety factors: SF1 2.564, SF2 2.477, SH1 1.311, SH2 1.366, Element no. 1 (h = 0.00%) n1 440.800 (rpm), T1 1624.767 (Nm), L1 75.000 (k W) Pair[1-2] K.A 1.250, K.V 1.026, K.Hb 1.081, K.Fb 1.057, K.Ha 1.000, K.Fa 1.000 SB 6.836, SSInt 3.896 NL.F[1]= 5.31e+008; NL.F[2]= 1.75e+008; NL.H[1]= 5.29e+008; NL.H[2]= 1.74e+008; H[No.1] at 100% = 20003.973 (h) H.F[1]= 20065.799 H.F[2]= 20153.685 (h) H.H[1]= 20003.973 H.H[2]= 20004.005 (h) Element no. 2 (h = 0.00%) n1 440.800 (rpm), T1 1524.031 (Nm), L1 70.350 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.090, K.Fb 1.063, K.Ha 1.000, K.Fa 1.000 SB 7.270, SSInt 3.967 NL.F[1]= 9.33e+009; NL.F[2]= 3.07e+009; NL.H[1]= 1.3e+009; NL.H[2]= 4.27e+008; H[No.2] at 100% = 49112.348 (h) H.F[1]=352796.409 H.F[2]=352796.409 (h) H.H[1]= 49112.348 H.H[2]= 49120.412 (h) Element no. 3 (h = 0.01%) n1 440.800 (rpm), T1 1421.671 (Nm), L1 65.625 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.100, K.Fb 1.070, K.Ha 1.000, K.Fa 1.000 SB 7.766, SSInt 4.042 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 3.41e+009; NL.H[2]= 1.12e+009; H[No.3] at 100% =129114.946 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1]=129114.946 H.H[2]=129114.946 (h) Element no. 4 (h = 0.03%) n1 440.800 (rpm), T1 1320.935 (Nm), L1 60.975 (k W) Pair[1-2] K.A 1.250, K.V 1.028, K.Hb 1.112, K.Fb 1.078, K.Ha 1.000, K.Fa 1.000 SB 8.318, SSInt 4.118 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 9.38e+009; NL.H[2]= 3.09e+009; H[No.4] at 100% =354752.086 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1]=354752.086 H.H[2]=354752.086 (h) Element no. 5 (h = 0.20%) n1 440.800 (rpm), T1 1218.575 (Nm), L1 56.250 (k W) Pair[1-2] K.A 1.250, K.V 1.029, K.Hb 1.126, K.Fb 1.088, K.Ha 1.000, K.Fa 1.000 SB 8.957, SSInt 4.199 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 1e+010; NL.H[2]= 9.23e+009; H[No.5] at 100% =1060980.391 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1] > 1e6 H.H[2] > 1e6 (h) Element no. 6 (h = 1.10%) n1 440.800 (rpm), T1 1117.840 (Nm), L1 51.600 (k W) Pair[1-2] K.A 1.250, K.V 1.030, K.Hb 1.142, K.Fb 1.099, K.Ha 1.000, K.Fa 1.000 SB 9.679, SSInt 4.281 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 1e+010; NL.H[2]= 1e+010; H[No.6] at 100% =100000000000000000000.000 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1] > 1e6 H.H[2] > 1e6 (h) Element no. 7 (h = 6.16%) n1 440.800 (rpm), T1 1015.479 (Nm), L1 46.875 (k W) Pair[1-2] K.A 1.250, K.V 1.032, K.Hb 1.161, K.Fb 1.112, K.Ha 1.000, K.Fa 1.000 SB 10.532, SSInt 4.369 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 1e+010; NL.H[2]= 1e+010; H[No.7] at 100% =100000000000000000000.000 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1] > 1e6 H.H[2] > 1e6 (h) Element no. 8 (h =92.50%) n1 440.800 (rpm), T1 914.744 (Nm), L1 42.225 (kW ) Pair[1-2] K.A 1.250, K.V 1.034, K.Hb 1.185, K.Fb 1.128, K.Ha 1.000, K.Fa 1.000 SB 11.519, SSInt 4.458
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 72 / 97
NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 1e+010; NL.H[2]= 1e+010; H[No.8] at 100% =100000000000000000000.000 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1] > 1e6 H.H[2] > 1e6 (h) Foot: H[1]= 7.81146e+009 (h); H[2]=7.838072e+009 (h); Flanc: H[1]=5.689275e+008 (h); H[2]= 2.74521e+00 8 (h); Damage(%) - refering to required life time 20000.0 00 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.0002 0.0002 0.0002 0.0002 2 0.0001 0.0001 0.0004 0.0004 3 0.0000 0.0000 0.0010 0.0010 4 0.0000 0.0000 0.0019 0.0019 5 0.0000 0.0000 0.0000 0.0038 6 0.0000 0.0000 0.0000 0.0000 7 0.0000 0.0000 0.0000 0.0000 8 0.0000 0.0000 0.0000 0.0000 Sum 0.0003 0.0003 0.0035 0.0073 Damage(%) - refering to total life time 274521009.1 28 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 2.7362 2.7243 2.7447 2.7447 2 0.7781 0.7781 5.5897 5.5887 3 0.0000 0.0000 13.6075 1 3.6075 4 0.0000 0.0000 26.3105 2 6.3105 5 0.0000 0.0000 0.0000 5 1.7486 6 0.0000 0.0000 0.0000 0.0000 7 0.0000 0.0000 0.0000 0.0000 8 0.0000 0.0000 0.0000 0.0000 Sum 3.5143 3.5024 48.2524 10 0.0000 Results (for check only): P [kW] 75.0000 NL calculated with Safety factors: SF1 2.566, SF2 2.479, SH1 1.312, SH2 1.367, Element no. 1 (h = 0.00%) n1 440.800 (rpm), T1 1624.767 (Nm), L1 75.000 (k W) Pair[1-2] K.A 1.250, K.V 1.026, K.Hb 1.081, K.Fb 1.057, K.Ha 1.000, K.Fa 1.000 SB 6.836, SSInt 3.896 NL.F[1]= 5.05e+008; NL.F[2]= 1.67e+008; NL.H[1]= 5.12e+008; NL.H[2]= 1.68e+008; H[No.1] at 100% = 19095.165 (h) H.F[1]= 19095.165 H.F[2]= 19179.424 (h) H.H[1]= 19362.924 H.H[2]= 19362.855 (h) Element no. 2 (h = 0.00%) n1 440.800 (rpm), T1 1524.031 (Nm), L1 70.350 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.090, K.Fb 1.063, K.Ha 1.000, K.Fa 1.000 SB 7.270, SSInt 3.967 NL.F[1]= 8.88e+009; NL.F[2]= 2.92e+009; NL.H[1]= 1.26e+009; NL.H[2]= 4.14e+008; H[No.2] at 100% = 47537.817 (h) H.F[1]=335628.056 H.F[2]=335628.056 (h) H.H[1]= 47537.817 H.H[2]= 47546.092 (h) Element no. 3 (h = 0.01%) n1 440.800 (rpm), T1 1421.671 (Nm), L1 65.625 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.100, K.Fb 1.070, K.Ha 1.000, K.Fa 1.000 SB 7.766, SSInt 4.042 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 3.31e+009; NL.H[2]= 1.09e+009; H[No.3] at 100% =124975.550 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1]=124975.550 H.H[2]=124975.550 (h) Element no. 4 (h = 0.03%) n1 440.800 (rpm), T1 1320.935 (Nm), L1 60.975 (k W) Pair[1-2] K.A 1.250, K.V 1.028, K.Hb 1.112, K.Fb 1.078, K.Ha 1.000, K.Fa 1.000 SB 8.318, SSInt 4.118 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 9.08e+009; NL.H[2]= 2.99e+009; H[No.4] at 100% =343378.814 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1]=343378.814 H.H[2]=343378.814 (h) Element no. 5 (h = 0.20%) n1 440.800 (rpm), T1 1218.575 (Nm), L1 56.250 (k W) Pair[1-2] K.A 1.250, K.V 1.029, K.Hb 1.126, K.Fb 1.088, K.Ha 1.000, K.Fa 1.000 SB 8.957, SSInt 4.199
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 73 / 97
NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 1e+010; NL.H[2]= 8.93e+009; H[No.5] at 100% =1026965.601 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1] > 1e6 H.H[2] > 1e6 (h) Element no. 6 (h = 1.10%) n1 440.800 (rpm), T1 1117.840 (Nm), L1 51.600 (k W) Pair[1-2] K.A 1.250, K.V 1.030, K.Hb 1.142, K.Fb 1.099, K.Ha 1.000, K.Fa 1.000 SB 9.679, SSInt 4.281 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 1e+010; NL.H[2]= 1e+010; H[No.6] at 100% =100000000000000000000.000 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1] > 1e6 H.H[2] > 1e6 (h) Element no. 7 (h = 6.16%) n1 440.800 (rpm), T1 1015.479 (Nm), L1 46.875 (k W) Pair[1-2] K.A 1.250, K.V 1.032, K.Hb 1.161, K.Fb 1.112, K.Ha 1.000, K.Fa 1.000 SB 10.532, SSInt 4.369 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 1e+010; NL.H[2]= 1e+010; H[No.7] at 100% =100000000000000000000.000 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1] > 1e6 H.H[2] > 1e6 (h) Element no. 8 (h =92.50%) n1 440.800 (rpm), T1 914.744 (Nm), L1 42.225 (kW ) Pair[1-2] K.A 1.250, K.V 1.034, K.Hb 1.185, K.Fb 1.128, K.Ha 1.000, K.Fa 1.000 SB 11.519, SSInt 4.458 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 1e+010; NL.H[2]= 1e+010; H[No.8] at 100% =100000000000000000000.000 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1] > 1e6 H.H[2] > 1e6 (h) Foot: H[1]=7.433096e+009 (h); H[2]=7.458606e+009 (h); Flanc: H[1]=5.506883e+008 (h); H[2]=2.657201e+00 8 (h); Damage(%) - refering to required life time 20000.0 00 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.0002 0.0002 0.0002 0.0002 2 0.0001 0.0001 0.0004 0.0004 3 0.0000 0.0000 0.0010 0.0010 4 0.0000 0.0000 0.0020 0.0020 5 0.0000 0.0000 0.0000 0.0039 6 0.0000 0.0000 0.0000 0.0000 7 0.0000 0.0000 0.0000 0.0000 8 0.0000 0.0000 0.0000 0.0000 Sum 0.0003 0.0003 0.0036 0.0075 Damage(%) - refering to total life time 265720140.1 36 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 2.7831 2.7709 2.7446 2.7446 2 0.7917 0.7917 5.5897 5.5887 3 0.0000 0.0000 13.6075 1 3.6075 4 0.0000 0.0000 26.3105 2 6.3105 5 0.0000 0.0000 0.0000 5 1.7486 6 0.0000 0.0000 0.0000 0.0000 7 0.0000 0.0000 0.0000 0.0000 8 0.0000 0.0000 0.0000 0.0000 Sum 3.5748 3.5626 48.2524 10 0.0000 Loop 2 Results (for check only): P [kW] 75.0000 NL calculated with Safety factors: SF1 3.229, SF2 3.120, SH1 1.724, SH2 1.765, Element no. 1 (h = 0.00%) n1 440.800 (rpm), T1 1624.767 (Nm), L1 75.000 (k W) Pair[1-2] K.A 1.250, K.V 1.026, K.Hb 1.081, K.Fb 1.057, K.Ha 1.000, K.Fa 1.000 SB 6.836, SSInt 3.896 NL.F[1]= 1.13e+006; NL.F[2]= 8.61e+005; NL.H[1]= 4.09e+006; NL.H[2]= 3.32e+006; H[No.1] at 100% = 42.914 (h) H.F[1]= 42.914 H.F[2]= 98.915 (h) H.H[1]= 154.751 H.H[2]= 381.057 (h) Element no. 2 (h = 0.00%)
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 74 / 97
n1 440.800 (rpm), T1 1524.031 (Nm), L1 70.350 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.090, K.Fb 1.063, K.Ha 1.000, K.Fa 1.000 SB 7.270, SSInt 3.967 NL.F[1]= 1.76e+006; NL.F[2]= 1.39e+006; NL.H[1]= 5.77e+006; NL.H[2]= 4.67e+006; H[No.2] at 100% = 66.651 (h) H.F[1]= 66.651 H.F[2]= 159.967 (h) H.H[1]= 217.990 H.H[2]= 536.776 (h) Element no. 3 (h = 0.01%) n1 440.800 (rpm), T1 1421.671 (Nm), L1 65.625 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.100, K.Fb 1.070, K.Ha 1.000, K.Fa 1.000 SB 7.766, SSInt 4.042 NL.F[1]= 2.83e+006; NL.F[2]= 2.34e+006; NL.H[1]= 8.34e+006; NL.H[2]= 6.75e+006; H[No.3] at 100% = 107.182 (h) H.F[1]= 107.182 H.F[2]= 268.713 (h) H.H[1]= 315.166 H.H[2]= 776.059 (h) Element no. 4 (h = 0.03%) n1 440.800 (rpm), T1 1320.935 (Nm), L1 60.975 (k W) Pair[1-2] K.A 1.250, K.V 1.028, K.Hb 1.112, K.Fb 1.078, K.Ha 1.000, K.Fa 1.000 SB 8.318, SSInt 4.118 NL.F[1]= 5.49e+007; NL.F[2]= 1.81e+007; NL.H[1]= 1.23e+007; NL.H[2]= 9.93e+006; H[No.4] at 100% = 463.393 (h) H.F[1]= 2077.415 H.F[2]= 2076.302 (h) H.H[1]= 463.393 H.H[2]= 1141.052 (h) Element no. 5 (h = 0.20%) n1 440.800 (rpm), T1 1218.575 (Nm), L1 56.250 (k W) Pair[1-2] K.A 1.250, K.V 1.029, K.Hb 1.126, K.Fb 1.088, K.Ha 1.000, K.Fa 1.000 SB 8.957, SSInt 4.199 NL.F[1]= 1.83e+009; NL.F[2]= 5.98e+008; NL.H[1]= 1.86e+007; NL.H[2]= 1.51e+007; H[No.5] at 100% = 703.733 (h) H.F[1]= 69227.041 H.F[2]= 68788.277 (h) H.H[1]= 703.733 H.H[2]= 1732.862 (h) Element no. 6 (h = 1.10%) n1 440.800 (rpm), T1 1117.840 (Nm), L1 51.600 (k W) Pair[1-2] K.A 1.250, K.V 1.030, K.Hb 1.142, K.Fb 1.099, K.Ha 1.000, K.Fa 1.000 SB 9.679, SSInt 4.281 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 2.89e+007; NL.H[2]= 2.34e+007; H[No.6] at 100% = 1093.318 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1]= 1093.318 H.H[2]= 2692.169 (h) Element no. 7 (h = 6.16%) n1 440.800 (rpm), T1 1015.479 (Nm), L1 46.875 (k W) Pair[1-2] K.A 1.250, K.V 1.032, K.Hb 1.161, K.Fb 1.112, K.Ha 1.000, K.Fa 1.000 SB 10.532, SSInt 4.369 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 4.68e+007; NL.H[2]= 3.79e+007; H[No.7] at 100% = 1770.677 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1]= 1770.677 H.H[2]= 4360.088 (h) Element no. 8 (h =92.50%) n1 440.800 (rpm), T1 914.744 (Nm), L1 42.225 (kW ) Pair[1-2] K.A 1.250, K.V 1.034, K.Hb 1.185, K.Fb 1.128, K.Ha 1.000, K.Fa 1.000 SB 11.519, SSInt 4.458 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 1.62e+008; NL.H[2]= 9.33e+007; H[No.8] at 100% = 6129.594 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1]= 6129.594 H.H[2]= 10724.086 (h) Foot: H[1]= 1013882 (h); H[2]= 1946538 (h); Flanc: H[1]= 5010.214 (h); H[2]= 9431.69 3 (h); Damage(%) - refering to required life time 20000.0 00 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.0932 0.0404 0.0258 0.0105 2 0.3001 0.1250 0.0917 0.0373 3 1.1942 0.4763 0.4061 0.1649 4 0.3273 0.3275 1.4674 0.5959 5 0.0578 0.0581 5.6840 2.3083 6 0.0000 0.0000 20.1222 8.1719 7 0.0000 0.0000 69.5779 2 8.2563 8 0.0000 0.0000 301.8092 17 2.5059 Sum 1.9726 1.0275 399.1845 21 2.0510
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 75 / 97
Damage(%) - refering to total life time 5010.214 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.0234 0.0101 0.0065 0.0026 2 0.0752 0.0313 0.0230 0.0093 3 0.2992 0.1193 0.1017 0.0413 4 0.0820 0.0820 0.3676 0.1493 5 0.0145 0.0146 1.4239 0.5783 6 0.0000 0.0000 5.0408 2.0471 7 0.0000 0.0000 17.4300 7.0785 8 0.0000 0.0000 75.6064 4 3.2146 Sum 0.4942 0.2574 100.0000 5 3.1210 Results (for check only): P [kW] 75.0000 NL calculated with Safety factors: SF1 3.232, SF2 3.123, SH1 1.722, SH2 1.763, Element no. 1 (h = 0.00%) n1 440.800 (rpm), T1 1624.767 (Nm), L1 75.000 (k W) Pair[1-2] K.A 1.250, K.V 1.026, K.Hb 1.081, K.Fb 1.057, K.Ha 1.000, K.Fa 1.000 SB 6.836, SSInt 3.896 NL.F[1]= 1.13e+006; NL.F[2]= 8.53e+005; NL.H[1]= 4.14e+006; NL.H[2]= 3.36e+006; H[No.1] at 100% = 42.587 (h) H.F[1]= 42.587 H.F[2]= 98.091 (h) H.H[1]= 156.688 H.H[2]= 385.827 (h) Element no. 2 (h = 0.00%) n1 440.800 (rpm), T1 1524.031 (Nm), L1 70.350 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.090, K.Fb 1.063, K.Ha 1.000, K.Fa 1.000 SB 7.270, SSInt 3.967 NL.F[1]= 1.75e+006; NL.F[2]= 1.38e+006; NL.H[1]= 5.84e+006; NL.H[2]= 4.73e+006; H[No.2] at 100% = 66.143 (h) H.F[1]= 66.143 H.F[2]= 158.636 (h) H.H[1]= 220.719 H.H[2]= 543.495 (h) Element no. 3 (h = 0.01%) n1 440.800 (rpm), T1 1421.671 (Nm), L1 65.625 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.100, K.Fb 1.070, K.Ha 1.000, K.Fa 1.000 SB 7.766, SSInt 4.042 NL.F[1]= 2.81e+006; NL.F[2]= 2.32e+006; NL.H[1]= 8.44e+006; NL.H[2]= 6.84e+006; H[No.3] at 100% = 106.365 (h) H.F[1]= 106.365 H.F[2]= 266.477 (h) H.H[1]= 319.111 H.H[2]= 785.774 (h) Element no. 4 (h = 0.03%) n1 440.800 (rpm), T1 1320.935 (Nm), L1 60.975 (k W) Pair[1-2] K.A 1.250, K.V 1.028, K.Hb 1.112, K.Fb 1.078, K.Ha 1.000, K.Fa 1.000 SB 8.318, SSInt 4.118 NL.F[1]= 5.23e+007; NL.F[2]= 1.72e+007; NL.H[1]= 1.24e+007; NL.H[2]= 1.01e+007; H[No.4] at 100% = 469.193 (h) H.F[1]= 1978.053 H.F[2]= 1977.219 (h) H.H[1]= 469.193 H.H[2]= 1155.335 (h) Element no. 5 (h = 0.20%) n1 440.800 (rpm), T1 1218.575 (Nm), L1 56.250 (k W) Pair[1-2] K.A 1.250, K.V 1.029, K.Hb 1.126, K.Fb 1.088, K.Ha 1.000, K.Fa 1.000 SB 8.957, SSInt 4.199 NL.F[1]= 1.74e+009; NL.F[2]= 5.69e+008; NL.H[1]= 1.88e+007; NL.H[2]= 1.53e+007; H[No.5] at 100% = 712.542 (h) H.F[1]= 65858.202 H.F[2]= 65452.319 (h) H.H[1]= 712.542 H.H[2]= 1754.553 (h) Element no. 6 (h = 1.10%) n1 440.800 (rpm), T1 1117.840 (Nm), L1 51.600 (k W) Pair[1-2] K.A 1.250, K.V 1.030, K.Hb 1.142, K.Fb 1.099, K.Ha 1.000, K.Fa 1.000 SB 9.679, SSInt 4.281 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 2.93e+007; NL.H[2]= 2.37e+007; H[No.6] at 100% = 1107.003 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1]= 1107.003 H.H[2]= 2725.868 (h) Element no. 7 (h = 6.16%) n1 440.800 (rpm), T1 1015.479 (Nm), L1 46.875 (k W) Pair[1-2] K.A 1.250, K.V 1.032, K.Hb 1.161, K.Fb 1.112, K.Ha 1.000, K.Fa 1.000 SB 10.532, SSInt 4.369 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 4.74e+007; NL.H[2]= 3.84e+007; H[No.7] at 100% = 1792.842 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h)
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 76 / 97
H.H[1]= 1792.842 H.H[2]= 4414.667 (h) Element no. 8 (h =92.50%) n1 440.800 (rpm), T1 914.744 (Nm), L1 42.225 (kW ) Pair[1-2] K.A 1.250, K.V 1.034, K.Hb 1.185, K.Fb 1.128, K.Ha 1.000, K.Fa 1.000 SB 11.519, SSInt 4.458 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 1.67e+008; NL.H[2]= 9.64e+007; H[No.8] at 100% = 6332.787 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1]= 6332.787 H.H[2]= 11079.572 (h) Foot: H[1]= 997899.7 (h); H[2]= 1900732 (h); Flanc: H[1]= 5150.698 (h); H[2]= 9707.45 2 (h); Damage(%) - refering to required life time 20000.0 00 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.0939 0.0408 0.0255 0.0104 2 0.3024 0.1261 0.0906 0.0368 3 1.2034 0.4803 0.4011 0.1629 4 0.3438 0.3439 1.4493 0.5886 5 0.0607 0.0611 5.6137 2.2798 6 0.0000 0.0000 19.8735 8.0708 7 0.0000 0.0000 68.7177 2 7.9070 8 0.0000 0.0000 292.1254 16 6.9711 Sum 2.0042 1.0522 388.2969 20 6.0273 Damage(%) - refering to total life time 5150.698 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.0242 0.0105 0.0066 0.0027 2 0.0779 0.0325 0.0233 0.0095 3 0.3099 0.1237 0.1033 0.0420 4 0.0885 0.0886 0.3732 0.1516 5 0.0156 0.0157 1.4457 0.5871 6 0.0000 0.0000 5.1181 2.0785 7 0.0000 0.0000 17.6972 7.1870 8 0.0000 0.0000 75.2325 4 3.0009 Sum 0.5162 0.2710 100.0000 5 3.0592 Loop 3 Results (for check only): P [kW] 75.0000 NL calculated with Safety factors: SF1 4.026, SF2 3.719, SH1 1.637, SH2 1.719, Element no. 1 (h = 0.00%) n1 440.800 (rpm), T1 1624.767 (Nm), L1 75.000 (k W) Pair[1-2] K.A 1.250, K.V 1.026, K.Hb 1.081, K.Fb 1.057, K.Ha 1.000, K.Fa 1.000 SB 6.836, SSInt 3.896 NL.F[1]= 2.09e+005; NL.F[2]= 1.98e+005; NL.H[1]= 7.75e+006; NL.H[2]= 4.6e+006; H[No.1] at 100% = 7.914 (h) H.F[1]= 7.914 H.F[2]= 22.744 (h) H.H[1]= 293.047 H.H[2]= 529.302 (h) Element no. 2 (h = 0.00%) n1 440.800 (rpm), T1 1524.031 (Nm), L1 70.350 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.090, K.Fb 1.063, K.Ha 1.000, K.Fa 1.000 SB 7.270, SSInt 3.967 NL.F[1]= 3.25e+005; NL.F[2]= 3.2e+005; NL.H[1]= 1.09e+007; NL.H[2]= 6.49e+006; H[No.2] at 100% = 12.291 (h) H.F[1]= 12.291 H.F[2]= 36.782 (h) H.H[1]= 412.800 H.H[2]= 745.602 (h) Element no. 3 (h = 0.01%) n1 440.800 (rpm), T1 1421.671 (Nm), L1 65.625 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.100, K.Fb 1.070, K.Ha 1.000, K.Fa 1.000 SB 7.766, SSInt 4.042 NL.F[1]= 5.23e+005; NL.F[2]= 5.38e+005; NL.H[1]= 1.58e+007; NL.H[2]= 9.38e+006; H[No.3] at 100% = 19.766 (h) H.F[1]= 19.766 H.F[2]= 61.786 (h) H.H[1]= 596.818 H.H[2]= 1077.975 (h) Element no. 4 (h = 0.03%) n1 440.800 (rpm), T1 1320.935 (Nm), L1 60.975 (k W) Pair[1-2] K.A 1.250, K.V 1.028, K.Hb 1.112, K.Fb 1.078, K.Ha 1.000, K.Fa 1.000 SB 8.318, SSInt 4.118
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 77 / 97
NL.F[1]= 8.6e+005; NL.F[2]= 9.26e+005; NL.H[1]= 2.32e+007; NL.H[2]= 1.38e+007; H[No.4] at 100% = 32.535 (h) H.F[1]= 32.535 H.F[2]= 106.463 (h) H.H[1]= 877.511 H.H[2]= 1584.964 (h) Element no. 5 (h = 0.20%) n1 440.800 (rpm), T1 1218.575 (Nm), L1 56.250 (k W) Pair[1-2] K.A 1.250, K.V 1.029, K.Hb 1.126, K.Fb 1.088, K.Ha 1.000, K.Fa 1.000 SB 8.957, SSInt 4.199 NL.F[1]= 1.48e+006; NL.F[2]= 1.67e+006; NL.H[1]= 3.52e+007; NL.H[2]= 2.09e+007; H[No.5] at 100% = 55.953 (h) H.F[1]= 55.953 H.F[2]= 192.439 (h) H.H[1]= 1332.635 H.H[2]= 2407.010 (h) Element no. 6 (h = 1.10%) n1 440.800 (rpm), T1 1117.840 (Nm), L1 51.600 (k W) Pair[1-2] K.A 1.250, K.V 1.030, K.Hb 1.142, K.Fb 1.099, K.Ha 1.000, K.Fa 1.000 SB 9.679, SSInt 4.281 NL.F[1]= 2.63e+006; NL.F[2]= 4.21e+006; NL.H[1]= 6.35e+007; NL.H[2]= 3.25e+007; H[No.6] at 100% = 99.358 (h) H.F[1]= 99.358 H.F[2]= 483.348 (h) H.H[1]= 2399.619 H.H[2]= 3739.524 (h) Element no. 7 (h = 6.16%) n1 440.800 (rpm), T1 1015.479 (Nm), L1 46.875 (k W) Pair[1-2] K.A 1.250, K.V 1.032, K.Hb 1.161, K.Fb 1.112, K.Ha 1.000, K.Fa 1.000 SB 10.532, SSInt 4.369 NL.F[1]= 7.95e+007; NL.F[2]= 2.41e+008; NL.H[1]= 2.25e+008; NL.H[2]= 5.74e+007; H[No.7] at 100% = 3004.073 (h) H.F[1]= 3004.073 H.F[2]= 27647.473 (h) H.H[1]= 8494.938 H.H[2]= 6594.821 (h) Element no. 8 (h =92.50%) n1 440.800 (rpm), T1 914.744 (Nm), L1 42.225 (kW ) Pair[1-2] K.A 1.250, K.V 1.034, K.Hb 1.185, K.Fb 1.128, K.Ha 1.000, K.Fa 1.000 SB 11.519, SSInt 4.458 NL.F[1]= 6.44e+009; NL.F[2]= 1e+010; NL.H[1]= 8.65e+008; NL.H[2]= 2.21e+008; H[No.8] at 100% = 25383.355 (h) H.F[1]=243535.289 H.F[2] > 1e6 (h) H.H[1]= 32697.599 H.H[2]= 25383.355 (h) Foot: H[1]= 5390.461 (h); H[2]= 25019.96 (h); Flanc: H[1]= 23724.22 (h); H[2]= 20062.2 8 (h); Damage(%) - refering to required life time 20000.0 00 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.5054 0.1759 0.0136 0.0076 2 1.6272 0.5437 0.0484 0.0268 3 6.4758 2.0717 0.2145 0.1187 4 20.9006 6.3872 0.7749 0.4290 5 71.4886 20.7858 3.0016 1.6618 6 221.4209 45.5158 9.1681 5.8831 7 41.0110 4.4561 14.5028 1 8.6813 8 7.5963 0.0000 56.5781 7 2.8811 Sum 371.0258 79.9362 84.3020 9 9.6895 Damage(%) - refering to total life time 5390.461 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.1362 0.0474 0.0037 0.0020 2 0.4386 0.1466 0.0131 0.0072 3 1.7454 0.5584 0.0578 0.0320 4 5.6332 1.7215 0.2089 0.1156 5 19.2678 5.6022 0.8090 0.4479 6 59.6780 12.2676 2.4710 1.5856 7 11.0534 1.2010 3.9088 5.0350 8 2.0474 0.0000 15.2491 1 9.6431 Sum 100.0000 21.5446 22.7213 2 6.8686 Results (for check only): P [kW] 75.0000 NL calculated with Safety factors: SF1 4.022, SF2 3.723, SH1 1.639, SH2 1.720, Element no. 1 (h = 0.00%) n1 440.800 (rpm), T1 1624.767 (Nm), L1 75.000 (k W) Pair[1-2] K.A 1.250, K.V 1.026, K.Hb 1.081, K.Fb 1.057, K.Ha 1.000, K.Fa 1.000 SB 6.836, SSInt 3.896
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 78 / 97
NL.F[1]= 2.11e+005; NL.F[2]= 1.96e+005; NL.H[1]= 7.65e+006; NL.H[2]= 4.55e+006; H[No.1] at 100% = 7.975 (h) H.F[1]= 7.975 H.F[2]= 22.555 (h) H.H[1]= 289.427 H.H[2]= 522.765 (h) Element no. 2 (h = 0.00%) n1 440.800 (rpm), T1 1524.031 (Nm), L1 70.350 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.090, K.Fb 1.063, K.Ha 1.000, K.Fa 1.000 SB 7.270, SSInt 3.967 NL.F[1]= 3.28e+005; NL.F[2]= 3.17e+005; NL.H[1]= 1.08e+007; NL.H[2]= 6.41e+006; H[No.2] at 100% = 12.386 (h) H.F[1]= 12.386 H.F[2]= 36.476 (h) H.H[1]= 407.702 H.H[2]= 736.393 (h) Element no. 3 (h = 0.01%) n1 440.800 (rpm), T1 1421.671 (Nm), L1 65.625 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.100, K.Fb 1.070, K.Ha 1.000, K.Fa 1.000 SB 7.766, SSInt 4.042 NL.F[1]= 5.27e+005; NL.F[2]= 5.33e+005; NL.H[1]= 1.56e+007; NL.H[2]= 9.26e+006; H[No.3] at 100% = 19.918 (h) H.F[1]= 19.918 H.F[2]= 61.272 (h) H.H[1]= 589.447 H.H[2]= 1064.662 (h) Element no. 4 (h = 0.03%) n1 440.800 (rpm), T1 1320.935 (Nm), L1 60.975 (k W) Pair[1-2] K.A 1.250, K.V 1.028, K.Hb 1.112, K.Fb 1.078, K.Ha 1.000, K.Fa 1.000 SB 8.318, SSInt 4.118 NL.F[1]= 8.67e+005; NL.F[2]= 9.19e+005; NL.H[1]= 2.29e+007; NL.H[2]= 1.36e+007; H[No.4] at 100% = 32.785 (h) H.F[1]= 32.785 H.F[2]= 105.577 (h) H.H[1]= 866.673 H.H[2]= 1565.388 (h) Element no. 5 (h = 0.20%) n1 440.800 (rpm), T1 1218.575 (Nm), L1 56.250 (k W) Pair[1-2] K.A 1.250, K.V 1.029, K.Hb 1.126, K.Fb 1.088, K.Ha 1.000, K.Fa 1.000 SB 8.957, SSInt 4.199 NL.F[1]= 1.49e+006; NL.F[2]= 1.66e+006; NL.H[1]= 3.48e+007; NL.H[2]= 2.07e+007; H[No.5] at 100% = 56.383 (h) H.F[1]= 56.383 H.F[2]= 190.838 (h) H.H[1]= 1316.176 H.H[2]= 2377.282 (h) Element no. 6 (h = 1.10%) n1 440.800 (rpm), T1 1117.840 (Nm), L1 51.600 (k W) Pair[1-2] K.A 1.250, K.V 1.030, K.Hb 1.142, K.Fb 1.099, K.Ha 1.000, K.Fa 1.000 SB 9.679, SSInt 4.281 NL.F[1]= 2.65e+006; NL.F[2]= 4.01e+006; NL.H[1]= 6.14e+007; NL.H[2]= 3.21e+007; H[No.6] at 100% = 100.122 (h) H.F[1]= 100.122 H.F[2]= 460.684 (h) H.H[1]= 2322.705 H.H[2]= 3693.338 (h) Element no. 7 (h = 6.16%) n1 440.800 (rpm), T1 1015.479 (Nm), L1 46.875 (k W) Pair[1-2] K.A 1.250, K.V 1.032, K.Hb 1.161, K.Fb 1.112, K.Ha 1.000, K.Fa 1.000 SB 10.532, SSInt 4.369 NL.F[1]= 8.35e+007; NL.F[2]= 2.29e+008; NL.H[1]= 2.17e+008; NL.H[2]= 5.55e+007; H[No.7] at 100% = 3155.589 (h) H.F[1]= 3155.589 H.F[2]= 26309.622 (h) H.H[1]= 8222.647 H.H[2]= 6382.974 (h) Element no. 8 (h =92.50%) n1 440.800 (rpm), T1 914.744 (Nm), L1 42.225 (kW ) Pair[1-2] K.A 1.250, K.V 1.034, K.Hb 1.185, K.Fb 1.128, K.Ha 1.000, K.Fa 1.000 SB 11.519, SSInt 4.458 NL.F[1]= 6.77e+009; NL.F[2]= 1e+010; NL.H[1]= 8.37e+008; NL.H[2]= 2.14e+008; H[No.8] at 100% = 24569.738 (h) H.F[1]=256005.605 H.F[2] > 1e6 (h) H.H[1]= 31650.269 H.H[2]= 24569.738 (h) Foot: H[1]= 5461.105 (h); H[2]= 24197.43 (h); Flanc: H[1]= 22986.19 (h); H[2]= 19450.5 9 (h); Damage(%) - refering to required life time 20000.0 00 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.5016 0.1773 0.0138 0.0077 2 1.6147 0.5483 0.0491 0.0272 3 6.4264 2.0890 0.2172 0.1202 4 20.7411 6.4408 0.7846 0.4344
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 79 / 97
5 70.9430 20.9602 3.0391 1.6826 6 219.7312 47.7551 9.4717 5.9567 7 39.0418 4.6827 14.9830 1 9.3013 8 7.2263 0.0000 58.4503 7 5.2946 Sum 366.2262 82.6534 87.0088 10 2.8246 Damage(%) - refering to total life time 5461.105 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.1370 0.0484 0.0038 0.0021 2 0.4409 0.1497 0.0134 0.0074 3 1.7548 0.5704 0.0593 0.0328 4 5.6635 1.7587 0.2142 0.1186 5 19.3714 5.7233 0.8298 0.4594 6 59.9988 13.0398 2.5863 1.6265 7 10.6606 1.2786 4.0912 5.2703 8 1.9732 0.0000 15.9602 2 0.5596 Sum 100.0000 22.5689 23.7582 2 8.0768 Loop 4 Results (for check only): P [kW] 75.0000 NL calculated with Safety factors: SF1 3.621, SF2 3.744, SH1 1.646, SH2 1.719, Element no. 1 (h = 0.00%) n1 440.800 (rpm), T1 1624.767 (Nm), L1 75.000 (k W) Pair[1-2] K.A 1.250, K.V 1.026, K.Hb 1.081, K.Fb 1.057, K.Ha 1.000, K.Fa 1.000 SB 6.836, SSInt 3.896 NL.F[1]= 4.72e+005; NL.F[2]= 1.87e+005; NL.H[1]= 7.25e+006; NL.H[2]= 4.6e+006; H[No.1] at 100% = 17.836 (h) H.F[1]= 17.836 H.F[2]= 21.509 (h) H.H[1]= 274.055 H.H[2]= 528.642 (h) Element no. 2 (h = 0.00%) n1 440.800 (rpm), T1 1524.031 (Nm), L1 70.350 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.090, K.Fb 1.063, K.Ha 1.000, K.Fa 1.000 SB 7.270, SSInt 3.967 NL.F[1]= 7.33e+005; NL.F[2]= 3.03e+005; NL.H[1]= 1.02e+007; NL.H[2]= 6.48e+006; H[No.2] at 100% = 27.703 (h) H.F[1]= 27.703 H.F[2]= 34.785 (h) H.H[1]= 386.047 H.H[2]= 744.671 (h) Element no. 3 (h = 0.01%) n1 440.800 (rpm), T1 1421.671 (Nm), L1 65.625 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.100, K.Fb 1.070, K.Ha 1.000, K.Fa 1.000 SB 7.766, SSInt 4.042 NL.F[1]= 1.18e+006; NL.F[2]= 5.08e+005; NL.H[1]= 1.48e+007; NL.H[2]= 9.37e+006; H[No.3] at 100% = 44.549 (h) H.F[1]= 44.549 H.F[2]= 58.432 (h) H.H[1]= 558.139 H.H[2]= 1076.630 (h) Element no. 4 (h = 0.03%) n1 440.800 (rpm), T1 1320.935 (Nm), L1 60.975 (k W) Pair[1-2] K.A 1.250, K.V 1.028, K.Hb 1.112, K.Fb 1.078, K.Ha 1.000, K.Fa 1.000 SB 8.318, SSInt 4.118 NL.F[1]= 1.94e+006; NL.F[2]= 8.76e+005; NL.H[1]= 2.17e+007; NL.H[2]= 1.38e+007; H[No.4] at 100% = 73.327 (h) H.F[1]= 73.327 H.F[2]= 100.683 (h) H.H[1]= 820.641 H.H[2]= 1582.986 (h) Element no. 5 (h = 0.20%) n1 440.800 (rpm), T1 1218.575 (Nm), L1 56.250 (k W) Pair[1-2] K.A 1.250, K.V 1.029, K.Hb 1.126, K.Fb 1.088, K.Ha 1.000, K.Fa 1.000 SB 8.957, SSInt 4.199 NL.F[1]= 6.55e+006; NL.F[2]= 1.58e+006; NL.H[1]= 3.3e+007; NL.H[2]= 2.09e+007; H[No.5] at 100% = 181.992 (h) H.F[1]= 247.491 H.F[2]= 181.992 (h) H.H[1]= 1246.268 H.H[2]= 2404.007 (h) Element no. 6 (h = 1.10%) n1 440.800 (rpm), T1 1117.840 (Nm), L1 51.600 (k W) Pair[1-2] K.A 1.250, K.V 1.030, K.Hb 1.142, K.Fb 1.099, K.Ha 1.000, K.Fa 1.000 SB 9.679, SSInt 4.281 NL.F[1]= 2.55e+008; NL.F[2]= 3.05e+006; NL.H[1]= 5.32e+007; NL.H[2]= 3.25e+007; H[No.6] at 100% = 350.956 (h) H.F[1]= 9641.399 H.F[2]= 350.956 (h)
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 80 / 97
H.H[1]= 2012.930 H.H[2]= 3734.858 (h) Element no. 7 (h = 6.16%) n1 440.800 (rpm), T1 1015.479 (Nm), L1 46.875 (k W) Pair[1-2] K.A 1.250, K.V 1.032, K.Hb 1.161, K.Fb 1.112, K.Ha 1.000, K.Fa 1.000 SB 10.532, SSInt 4.369 NL.F[1]= 1e+010; NL.F[2]= 1.73e+008; NL.H[1]= 1.88e+008; NL.H[2]= 5.72e+007; H[No.7] at 100% = 6573.272 (h) H.F[1] > 1e6 H.F[2]= 19852.670 (h) H.H[1]= 7126.541 H.H[2]= 6573.272 (h) Element no. 8 (h =92.50%) n1 440.800 (rpm), T1 914.744 (Nm), L1 42.225 (kW ) Pair[1-2] K.A 1.250, K.V 1.034, K.Hb 1.185, K.Fb 1.128, K.Ha 1.000, K.Fa 1.000 SB 11.519, SSInt 4.458 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 7.25e+008; NL.H[2]= 2.2e+008; H[No.8] at 100% = 25300.411 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1]= 27430.392 H.H[2]= 25300.411 (h) Foot: H[1]= 63417.57 (h); H[2]= 19885.49 (h); Flanc: H[1]= 20001.39 (h); H[2]= 20000.0 3 (h); Damage(%) - refering to required life time 20000.0 00 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.2243 0.1860 0.0146 0.0076 2 0.7220 0.5750 0.0518 0.0269 3 2.8733 2.1906 0.2293 0.1189 4 9.2735 6.7539 0.8286 0.4296 5 16.1622 21.9789 3.2096 1.6639 6 2.2818 62.6858 10.9293 5.8905 7 0.0000 6.2057 17.2875 1 8.7426 8 0.0000 0.0000 67.4423 7 3.1201 Sum 31.5370 100.5759 99.9930 9 9.9999 Damage(%) - refering to total life time 19885.487 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.2230 0.1849 0.0145 0.0075 2 0.7178 0.5717 0.0515 0.0267 3 2.8568 2.1780 0.2280 0.1182 4 9.2204 6.7152 0.8239 0.4271 5 16.0697 21.8531 3.1912 1.6544 6 2.2688 62.3269 10.8668 5.8567 7 0.0000 6.1702 17.1885 1 8.6353 8 0.0000 0.0000 67.0561 7 2.7014 Sum 31.3564 100.0000 99.4205 9 9.4273 Results (for check only): P [kW] 75.0000 NL calculated with Safety factors: SF1 3.624, SF2 3.741, SH1 1.648, SH2 1.720, Element no. 1 (h = 0.00%) n1 440.800 (rpm), T1 1624.767 (Nm), L1 75.000 (k W) Pair[1-2] K.A 1.250, K.V 1.026, K.Hb 1.081, K.Fb 1.057, K.Ha 1.000, K.Fa 1.000 SB 6.836, SSInt 3.896 NL.F[1]= 4.68e+005; NL.F[2]= 1.89e+005; NL.H[1]= 7.16e+006; NL.H[2]= 4.57e+006; H[No.1] at 100% = 17.700 (h) H.F[1]= 17.700 H.F[2]= 21.690 (h) H.H[1]= 270.670 H.H[2]= 525.366 (h) Element no. 2 (h = 0.00%) n1 440.800 (rpm), T1 1524.031 (Nm), L1 70.350 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.090, K.Fb 1.063, K.Ha 1.000, K.Fa 1.000 SB 7.270, SSInt 3.967 NL.F[1]= 7.27e+005; NL.F[2]= 3.05e+005; NL.H[1]= 1.01e+007; NL.H[2]= 6.44e+006; H[No.2] at 100% = 27.491 (h) H.F[1]= 27.491 H.F[2]= 35.077 (h) H.H[1]= 381.279 H.H[2]= 740.058 (h) Element no. 3 (h = 0.01%) n1 440.800 (rpm), T1 1421.671 (Nm), L1 65.625 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.100, K.Fb 1.070, K.Ha 1.000, K.Fa 1.000 SB 7.766, SSInt 4.042 NL.F[1]= 1.17e+006; NL.F[2]= 5.13e+005; NL.H[1]= 1.46e+007; NL.H[2]= 9.31e+006; H[No.3] at 100% = 44.209 (h) H.F[1]= 44.209 H.F[2]= 58.923 (h)
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 81 / 97
H.H[1]= 551.246 H.H[2]= 1069.960 (h) Element no. 4 (h = 0.03%) n1 440.800 (rpm), T1 1320.935 (Nm), L1 60.975 (k W) Pair[1-2] K.A 1.250, K.V 1.028, K.Hb 1.112, K.Fb 1.078, K.Ha 1.000, K.Fa 1.000 SB 8.318, SSInt 4.118 NL.F[1]= 1.92e+006; NL.F[2]= 8.83e+005; NL.H[1]= 2.14e+007; NL.H[2]= 1.37e+007; H[No.4] at 100% = 72.768 (h) H.F[1]= 72.768 H.F[2]= 101.529 (h) H.H[1]= 810.505 H.H[2]= 1573.179 (h) Element no. 5 (h = 0.20%) n1 440.800 (rpm), T1 1218.575 (Nm), L1 56.250 (k W) Pair[1-2] K.A 1.250, K.V 1.029, K.Hb 1.126, K.Fb 1.088, K.Ha 1.000, K.Fa 1.000 SB 8.957, SSInt 4.199 NL.F[1]= 6.24e+006; NL.F[2]= 1.6e+006; NL.H[1]= 3.26e+007; NL.H[2]= 2.08e+007; H[No.5] at 100% = 183.521 (h) H.F[1]= 235.941 H.F[2]= 183.521 (h) H.H[1]= 1230.876 H.H[2]= 2389.113 (h) Element no. 6 (h = 1.10%) n1 440.800 (rpm), T1 1117.840 (Nm), L1 51.600 (k W) Pair[1-2] K.A 1.250, K.V 1.030, K.Hb 1.142, K.Fb 1.099, K.Ha 1.000, K.Fa 1.000 SB 9.679, SSInt 4.281 NL.F[1]= 2.43e+008; NL.F[2]= 3.2e+006; NL.H[1]= 5.15e+007; NL.H[2]= 3.23e+007; H[No.6] at 100% = 368.157 (h) H.F[1]= 9176.236 H.F[2]= 368.157 (h) H.H[1]= 1948.407 H.H[2]= 3711.719 (h) Element no. 7 (h = 6.16%) n1 440.800 (rpm), T1 1015.479 (Nm), L1 46.875 (k W) Pair[1-2] K.A 1.250, K.V 1.032, K.Hb 1.161, K.Fb 1.112, K.Ha 1.000, K.Fa 1.000 SB 10.532, SSInt 4.369 NL.F[1]= 1e+010; NL.F[2]= 1.82e+008; NL.H[1]= 1.82e+008; NL.H[2]= 5.63e+007; H[No.7] at 100% = 6467.056 (h) H.F[1] > 1e6 H.F[2]= 20862.287 (h) H.H[1]= 6898.122 H.H[2]= 6467.056 (h) Element no. 8 (h =92.50%) n1 440.800 (rpm), T1 914.744 (Nm), L1 42.225 (kW ) Pair[1-2] K.A 1.250, K.V 1.034, K.Hb 1.185, K.Fb 1.128, K.Ha 1.000, K.Fa 1.000 SB 11.519, SSInt 4.458 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 7.02e+008; NL.H[2]= 2.17e+008; H[No.8] at 100% = 24891.569 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1]= 26551.482 H.H[2]= 24891.569 (h) Foot: H[1]= 61454.4 (h); H[2]= 20600.93 (h); Flanc: H[1]= 19377.2 (h); H[2]= 19692.9 1 (h); Damage(%) - refering to required life time 20000.0 00 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.2260 0.1844 0.0148 0.0076 2 0.7275 0.5702 0.0525 0.0270 3 2.8953 2.1723 0.2322 0.1196 4 9.3447 6.6976 0.8390 0.4322 5 16.9534 21.7959 3.2497 1.6743 6 2.3975 59.7572 11.2913 5.9272 7 0.0000 5.9054 17.8599 1 9.0504 8 0.0000 0.0000 69.6748 7 4.3211 Sum 32.5445 97.0830 103.2141 10 1.5594 Damage(%) - refering to total life time 19377.198 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.2189 0.1787 0.0143 0.0074 2 0.7048 0.5524 0.0508 0.0262 3 2.8052 2.1047 0.2250 0.1159 4 9.0537 6.4890 0.8129 0.4188 5 16.4255 21.1172 3.1485 1.6221 6 2.3228 57.8963 10.9397 5.7426 7 0.0000 5.7215 17.3038 1 8.4572 8 0.0000 0.0000 67.5051 7 2.0067 Sum 31.5310 94.0598 100.0000 9 8.3968
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 82 / 97
Loop 5 Results (for check only): P [kW] 75.0000 NL calculated with Safety factors: SF1 3.754, SF2 3.744, SH1 1.646, SH2 1.719, Element no. 1 (h = 0.00%) n1 440.800 (rpm), T1 1624.767 (Nm), L1 75.000 (k W) Pair[1-2] K.A 1.250, K.V 1.026, K.Hb 1.081, K.Fb 1.057, K.Ha 1.000, K.Fa 1.000 SB 6.836, SSInt 3.896 NL.F[1]= 3.58e+005; NL.F[2]= 1.87e+005; NL.H[1]= 7.25e+006; NL.H[2]= 4.6e+006; H[No.1] at 100% = 13.535 (h) H.F[1]= 13.535 H.F[2]= 21.538 (h) H.H[1]= 274.047 H.H[2]= 528.642 (h) Element no. 2 (h = 0.00%) n1 440.800 (rpm), T1 1524.031 (Nm), L1 70.350 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.090, K.Fb 1.063, K.Ha 1.000, K.Fa 1.000 SB 7.270, SSInt 3.967 NL.F[1]= 5.56e+005; NL.F[2]= 3.03e+005; NL.H[1]= 1.02e+007; NL.H[2]= 6.48e+006; H[No.2] at 100% = 21.022 (h) H.F[1]= 21.022 H.F[2]= 34.832 (h) H.H[1]= 386.037 H.H[2]= 744.671 (h) Element no. 3 (h = 0.01%) n1 440.800 (rpm), T1 1421.671 (Nm), L1 65.625 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.100, K.Fb 1.070, K.Ha 1.000, K.Fa 1.000 SB 7.766, SSInt 4.042 NL.F[1]= 8.94e+005; NL.F[2]= 5.09e+005; NL.H[1]= 1.48e+007; NL.H[2]= 9.37e+006; H[No.3] at 100% = 33.806 (h) H.F[1]= 33.806 H.F[2]= 58.511 (h) H.H[1]= 558.124 H.H[2]= 1076.630 (h) Element no. 4 (h = 0.03%) n1 440.800 (rpm), T1 1320.935 (Nm), L1 60.975 (k W) Pair[1-2] K.A 1.250, K.V 1.028, K.Hb 1.112, K.Fb 1.078, K.Ha 1.000, K.Fa 1.000 SB 8.318, SSInt 4.118 NL.F[1]= 1.47e+006; NL.F[2]= 8.77e+005; NL.H[1]= 2.17e+007; NL.H[2]= 1.38e+007; H[No.4] at 100% = 55.644 (h) H.F[1]= 55.644 H.F[2]= 100.820 (h) H.H[1]= 820.618 H.H[2]= 1582.986 (h) Element no. 5 (h = 0.20%) n1 440.800 (rpm), T1 1218.575 (Nm), L1 56.250 (k W) Pair[1-2] K.A 1.250, K.V 1.029, K.Hb 1.126, K.Fb 1.088, K.Ha 1.000, K.Fa 1.000 SB 8.957, SSInt 4.199 NL.F[1]= 2.53e+006; NL.F[2]= 1.59e+006; NL.H[1]= 3.3e+007; NL.H[2]= 2.09e+007; H[No.5] at 100% = 95.696 (h) H.F[1]= 95.696 H.F[2]= 182.240 (h) H.H[1]= 1246.234 H.H[2]= 2404.007 (h) Element no. 6 (h = 1.10%) n1 440.800 (rpm), T1 1117.840 (Nm), L1 51.600 (k W) Pair[1-2] K.A 1.250, K.V 1.030, K.Hb 1.142, K.Fb 1.099, K.Ha 1.000, K.Fa 1.000 SB 9.679, SSInt 4.281 NL.F[1]= 4.32e+007; NL.F[2]= 3.08e+006; NL.H[1]= 5.32e+007; NL.H[2]= 3.25e+007; H[No.6] at 100% = 353.693 (h) H.F[1]= 1634.336 H.F[2]= 353.693 (h) H.H[1]= 2012.786 H.H[2]= 3734.858 (h) Element no. 7 (h = 6.16%) n1 440.800 (rpm), T1 1015.479 (Nm), L1 46.875 (k W) Pair[1-2] K.A 1.250, K.V 1.032, K.Hb 1.161, K.Fb 1.112, K.Ha 1.000, K.Fa 1.000 SB 10.532, SSInt 4.369 NL.F[1]= 2.57e+009; NL.F[2]= 1.74e+008; NL.H[1]= 1.88e+008; NL.H[2]= 5.72e+007; H[No.7] at 100% = 6573.272 (h) H.F[1]= 97145.612 H.F[2]= 20013.219 (h) H.H[1]= 7126.031 H.H[2]= 6573.272 (h) Element no. 8 (h =92.50%) n1 440.800 (rpm), T1 914.744 (Nm), L1 42.225 (kW ) Pair[1-2] K.A 1.250, K.V 1.034, K.Hb 1.185, K.Fb 1.128, K.Ha 1.000, K.Fa 1.000 SB 11.519, SSInt 4.458 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 7.25e+008; NL.H[2]= 2.2e+008; H[No.8] at 100% = 25300.411 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1]= 27428.431 H.H[2]= 25300.411 (h)
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 83 / 97
Foot: H[1]= 27106.93 (h); H[2]= 20000.38 (h); Flanc: H[1]= 20000 (h); H[2]= 20000.0 3 (h); Damage(%) - refering to required life time 20000.0 00 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.2955 0.1857 0.0146 0.0076 2 0.9514 0.5742 0.0518 0.0269 3 3.7863 2.1876 0.2293 0.1189 4 12.2204 6.7447 0.8286 0.4296 5 41.7988 21.9491 3.2097 1.6639 6 13.4611 62.2009 10.9301 5.8905 7 1.2682 6.1559 17.2887 1 8.7426 8 0.0000 0.0000 67.4471 7 3.1201 Sum 73.7819 99.9981 100.0000 9 9.9999 Damage(%) - refering to total life time 20000.000 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.2955 0.1857 0.0146 0.0076 2 0.9514 0.5742 0.0518 0.0269 3 3.7863 2.1876 0.2293 0.1189 4 12.2204 6.7447 0.8286 0.4296 5 41.7988 21.9491 3.2097 1.6639 6 13.4611 62.2009 10.9301 5.8905 7 1.2682 6.1559 17.2887 1 8.7426 8 0.0000 0.0000 67.4471 7 3.1201 Sum 73.7819 99.9981 100.0000 9 9.9999 Results (for check only): P [kW] 75.0000 NL calculated with Safety factors: SF1 3.758, SF2 3.748, SH1 1.645, SH2 1.720, Element no. 1 (h = 0.00%) n1 440.800 (rpm), T1 1624.767 (Nm), L1 75.000 (k W) Pair[1-2] K.A 1.250, K.V 1.026, K.Hb 1.081, K.Fb 1.057, K.Ha 1.000, K.Fa 1.000 SB 6.836, SSInt 3.896 NL.F[1]= 3.55e+005; NL.F[2]= 1.86e+005; NL.H[1]= 7.29e+006; NL.H[2]= 4.57e+006; H[No.1] at 100% = 13.432 (h) H.F[1]= 13.432 H.F[2]= 21.359 (h) H.H[1]= 275.757 H.H[2]= 525.366 (h) Element no. 2 (h = 0.00%) n1 440.800 (rpm), T1 1524.031 (Nm), L1 70.350 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.090, K.Fb 1.063, K.Ha 1.000, K.Fa 1.000 SB 7.270, SSInt 3.967 NL.F[1]= 5.52e+005; NL.F[2]= 3.01e+005; NL.H[1]= 1.03e+007; NL.H[2]= 6.44e+006; H[No.2] at 100% = 20.862 (h) H.F[1]= 20.862 H.F[2]= 34.542 (h) H.H[1]= 388.445 H.H[2]= 740.058 (h) Element no. 3 (h = 0.01%) n1 440.800 (rpm), T1 1421.671 (Nm), L1 65.625 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.100, K.Fb 1.070, K.Ha 1.000, K.Fa 1.000 SB 7.766, SSInt 4.042 NL.F[1]= 8.87e+005; NL.F[2]= 5.05e+005; NL.H[1]= 1.49e+007; NL.H[2]= 9.31e+006; H[No.3] at 100% = 33.548 (h) H.F[1]= 33.548 H.F[2]= 58.025 (h) H.H[1]= 561.605 H.H[2]= 1069.960 (h) Element no. 4 (h = 0.03%) n1 440.800 (rpm), T1 1320.935 (Nm), L1 60.975 (k W) Pair[1-2] K.A 1.250, K.V 1.028, K.Hb 1.112, K.Fb 1.078, K.Ha 1.000, K.Fa 1.000 SB 8.318, SSInt 4.118 NL.F[1]= 1.46e+006; NL.F[2]= 8.7e+005; NL.H[1]= 2.18e+007; NL.H[2]= 1.37e+007; H[No.4] at 100% = 55.220 (h) H.F[1]= 55.220 H.F[2]= 99.981 (h) H.H[1]= 825.737 H.H[2]= 1573.179 (h) Element no. 5 (h = 0.20%) n1 440.800 (rpm), T1 1218.575 (Nm), L1 56.250 (k W) Pair[1-2] K.A 1.250, K.V 1.029, K.Hb 1.126, K.Fb 1.088, K.Ha 1.000, K.Fa 1.000 SB 8.957, SSInt 4.199 NL.F[1]= 2.51e+006; NL.F[2]= 1.57e+006; NL.H[1]= 3.32e+007; NL.H[2]= 2.08e+007; H[No.5] at 100% = 94.967 (h) H.F[1]= 94.967 H.F[2]= 180.723 (h) H.H[1]= 1254.008 H.H[2]= 2389.113 (h) Element no. 6 (h = 1.10%)
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 84 / 97
n1 440.800 (rpm), T1 1117.840 (Nm), L1 51.600 (k W) Pair[1-2] K.A 1.250, K.V 1.030, K.Hb 1.142, K.Fb 1.099, K.Ha 1.000, K.Fa 1.000 SB 9.679, SSInt 4.281 NL.F[1]= 4.12e+007; NL.F[2]= 2.94e+006; NL.H[1]= 5.41e+007; NL.H[2]= 3.23e+007; H[No.6] at 100% = 338.294 (h) H.F[1]= 1556.314 H.F[2]= 338.294 (h) H.H[1]= 2046.023 H.H[2]= 3711.719 (h) Element no. 7 (h = 6.16%) n1 440.800 (rpm), T1 1015.479 (Nm), L1 46.875 (k W) Pair[1-2] K.A 1.250, K.V 1.032, K.Hb 1.161, K.Fb 1.112, K.Ha 1.000, K.Fa 1.000 SB 10.532, SSInt 4.369 NL.F[1]= 2.44e+009; NL.F[2]= 1.66e+008; NL.H[1]= 1.92e+008; NL.H[2]= 5.63e+007; H[No.7] at 100% = 6467.056 (h) H.F[1]= 92418.155 H.F[2]= 19045.771 (h) H.H[1]= 7243.142 H.H[2]= 6467.056 (h) Element no. 8 (h =92.50%) n1 440.800 (rpm), T1 914.744 (Nm), L1 42.225 (kW ) Pair[1-2] K.A 1.250, K.V 1.034, K.Hb 1.185, K.Fb 1.128, K.Ha 1.000, K.Fa 1.000 SB 11.519, SSInt 4.458 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 7.37e+008; NL.H[2]= 2.17e+008; H[No.8] at 100% = 24891.569 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1]= 27879.050 H.H[2]= 24891.569 (h) Foot: H[1]= 26675.48 (h); H[2]= 19340.92 (h); Flanc: H[1]= 20319.86 (h); H[2]= 19692.9 1 (h); Damage(%) - refering to required life time 20000.0 00 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.2978 0.1873 0.0145 0.0076 2 0.9587 0.5790 0.0515 0.0270 3 3.8154 2.2060 0.2279 0.1196 4 12.3143 6.8013 0.8235 0.4322 5 42.1199 22.1333 3.1898 1.6743 6 14.1360 65.0323 10.7526 5.9272 7 1.3331 6.4686 17.0092 1 9.0504 8 0.0000 0.0000 66.3569 7 4.3211 Sum 74.9752 103.4077 98.4259 10 1.5594 Damage(%) - refering to total life time 19340.924 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.2880 0.1811 0.0140 0.0074 2 0.9271 0.5599 0.0498 0.0261 3 3.6897 2.1333 0.2204 0.1157 4 11.9085 6.5772 0.7964 0.4180 5 40.7319 21.4039 3.0847 1.6191 6 13.6701 62.8892 10.3982 5.7319 7 1.2891 6.2555 16.4487 1 8.4226 8 0.0000 0.0000 64.1702 7 1.8719 Sum 72.5045 100.0000 95.1824 9 8.2126 Loop 6 Results (for check only): P [kW] 75.0000 NL calculated with Safety factors: SF1 3.825, SF2 3.744, SH1 1.646, SH2 1.719, Element no. 1 (h = 0.00%) n1 440.800 (rpm), T1 1624.767 (Nm), L1 75.000 (k W) Pair[1-2] K.A 1.250, K.V 1.026, K.Hb 1.081, K.Fb 1.057, K.Ha 1.000, K.Fa 1.000 SB 6.836, SSInt 3.896 NL.F[1]= 3.1e+005; NL.F[2]= 1.87e+005; NL.H[1]= 7.25e+006; NL.H[2]= 4.6e+006; H[No.1] at 100% = 11.723 (h) H.F[1]= 11.723 H.F[2]= 21.538 (h) H.H[1]= 274.047 H.H[2]= 528.642 (h) Element no. 2 (h = 0.00%) n1 440.800 (rpm), T1 1524.031 (Nm), L1 70.350 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.090, K.Fb 1.063, K.Ha 1.000, K.Fa 1.000 SB 7.270, SSInt 3.967 NL.F[1]= 4.82e+005; NL.F[2]= 3.03e+005; NL.H[1]= 1.02e+007; NL.H[2]= 6.48e+006; H[No.2] at 100% = 18.207 (h) H.F[1]= 18.207 H.F[2]= 34.832 (h)
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 85 / 97
H.H[1]= 386.037 H.H[2]= 744.671 (h) Element no. 3 (h = 0.01%) n1 440.800 (rpm), T1 1421.671 (Nm), L1 65.625 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.100, K.Fb 1.070, K.Ha 1.000, K.Fa 1.000 SB 7.766, SSInt 4.042 NL.F[1]= 7.74e+005; NL.F[2]= 5.09e+005; NL.H[1]= 1.48e+007; NL.H[2]= 9.37e+006; H[No.3] at 100% = 29.280 (h) H.F[1]= 29.280 H.F[2]= 58.511 (h) H.H[1]= 558.124 H.H[2]= 1076.630 (h) Element no. 4 (h = 0.03%) n1 440.800 (rpm), T1 1320.935 (Nm), L1 60.975 (k W) Pair[1-2] K.A 1.250, K.V 1.028, K.Hb 1.112, K.Fb 1.078, K.Ha 1.000, K.Fa 1.000 SB 8.318, SSInt 4.118 NL.F[1]= 1.27e+006; NL.F[2]= 8.77e+005; NL.H[1]= 2.17e+007; NL.H[2]= 1.38e+007; H[No.4] at 100% = 48.194 (h) H.F[1]= 48.194 H.F[2]= 100.820 (h) H.H[1]= 820.618 H.H[2]= 1582.986 (h) Element no. 5 (h = 0.20%) n1 440.800 (rpm), T1 1218.575 (Nm), L1 56.250 (k W) Pair[1-2] K.A 1.250, K.V 1.029, K.Hb 1.126, K.Fb 1.088, K.Ha 1.000, K.Fa 1.000 SB 8.957, SSInt 4.199 NL.F[1]= 2.19e+006; NL.F[2]= 1.59e+006; NL.H[1]= 3.3e+007; NL.H[2]= 2.09e+007; H[No.5] at 100% = 82.884 (h) H.F[1]= 82.884 H.F[2]= 182.239 (h) H.H[1]= 1246.234 H.H[2]= 2404.007 (h) Element no. 6 (h = 1.10%) n1 440.800 (rpm), T1 1117.840 (Nm), L1 51.600 (k W) Pair[1-2] K.A 1.250, K.V 1.030, K.Hb 1.142, K.Fb 1.099, K.Ha 1.000, K.Fa 1.000 SB 9.679, SSInt 4.281 NL.F[1]= 1.73e+007; NL.F[2]= 3.08e+006; NL.H[1]= 5.32e+007; NL.H[2]= 3.25e+007; H[No.6] at 100% = 353.683 (h) H.F[1]= 654.569 H.F[2]= 353.683 (h) H.H[1]= 2012.786 H.H[2]= 3734.858 (h) Element no. 7 (h = 6.16%) n1 440.800 (rpm), T1 1015.479 (Nm), L1 46.875 (k W) Pair[1-2] K.A 1.250, K.V 1.032, K.Hb 1.161, K.Fb 1.112, K.Ha 1.000, K.Fa 1.000 SB 10.532, SSInt 4.369 NL.F[1]= 1.01e+009; NL.F[2]= 1.74e+008; NL.H[1]= 1.88e+008; NL.H[2]= 5.72e+007; H[No.7] at 100% = 6573.272 (h) H.F[1]= 38061.109 H.F[2]= 20012.657 (h) H.H[1]= 7126.031 H.H[2]= 6573.272 (h) Element no. 8 (h =92.50%) n1 440.800 (rpm), T1 914.744 (Nm), L1 42.225 (kW ) Pair[1-2] K.A 1.250, K.V 1.034, K.Hb 1.185, K.Fb 1.128, K.Ha 1.000, K.Fa 1.000 SB 11.519, SSInt 4.458 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 7.25e+008; NL.H[2]= 2.2e+008; H[No.8] at 100% = 25300.411 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1]= 27428.431 H.H[2]= 25300.411 (h) Foot: H[1]= 19042.58 (h); H[2]= 19999.98 (h); Flanc: H[1]= 20000 (h); H[2]= 20000.0 3 (h); Damage(%) - refering to required life time 20000.0 00 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.3412 0.1857 0.0146 0.0076 2 1.0984 0.5742 0.0518 0.0269 3 4.3716 2.1876 0.2293 0.1189 4 14.1095 6.7447 0.8286 0.4296 5 48.2602 21.9492 3.2097 1.6639 6 33.6099 62.2025 10.9301 5.8905 7 3.2369 6.1561 17.2887 1 8.7426 8 0.0000 0.0000 67.4471 7 3.1201 Sum 105.0278 100.0001 100.0000 9 9.9999 Damage(%) - refering to total life time 19042.582 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.3249 0.1768 0.0139 0.0072 2 1.0459 0.5467 0.0493 0.0256 3 4.1624 2.0829 0.2184 0.1132
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 86 / 97
4 13.4341 6.4218 0.7890 0.4090 5 45.9499 20.8985 3.0560 1.5842 6 32.0010 59.2249 10.4069 5.6085 7 3.0819 5.8614 16.4611 1 7.8453 8 0.0000 0.0000 64.2183 6 9.6198 Sum 100.0000 95.2130 95.2129 9 5.2128 Results (for check only): P [kW] 75.0000 NL calculated with Safety factors: SF1 3.821, SF2 3.743, SH1 1.645, SH2 1.720, Element no. 1 (h = 0.00%) n1 440.800 (rpm), T1 1624.767 (Nm), L1 75.000 (k W) Pair[1-2] K.A 1.250, K.V 1.026, K.Hb 1.081, K.Fb 1.057, K.Ha 1.000, K.Fa 1.000 SB 6.836, SSInt 3.896 NL.F[1]= 3.12e+005; NL.F[2]= 1.88e+005; NL.H[1]= 7.29e+006; NL.H[2]= 4.57e+006; H[No.1] at 100% = 11.813 (h) H.F[1]= 11.813 H.F[2]= 21.553 (h) H.H[1]= 275.757 H.H[2]= 525.366 (h) Element no. 2 (h = 0.00%) n1 440.800 (rpm), T1 1524.031 (Nm), L1 70.350 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.090, K.Fb 1.063, K.Ha 1.000, K.Fa 1.000 SB 7.270, SSInt 3.967 NL.F[1]= 4.85e+005; NL.F[2]= 3.03e+005; NL.H[1]= 1.03e+007; NL.H[2]= 6.44e+006; H[No.2] at 100% = 18.348 (h) H.F[1]= 18.348 H.F[2]= 34.856 (h) H.H[1]= 388.445 H.H[2]= 740.058 (h) Element no. 3 (h = 0.01%) n1 440.800 (rpm), T1 1421.671 (Nm), L1 65.625 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.100, K.Fb 1.070, K.Ha 1.000, K.Fa 1.000 SB 7.766, SSInt 4.042 NL.F[1]= 7.8e+005; NL.F[2]= 5.09e+005; NL.H[1]= 1.49e+007; NL.H[2]= 9.31e+006; H[No.3] at 100% = 29.505 (h) H.F[1]= 29.505 H.F[2]= 58.551 (h) H.H[1]= 561.605 H.H[2]= 1069.960 (h) Element no. 4 (h = 0.03%) n1 440.800 (rpm), T1 1320.935 (Nm), L1 60.975 (k W) Pair[1-2] K.A 1.250, K.V 1.028, K.Hb 1.112, K.Fb 1.078, K.Ha 1.000, K.Fa 1.000 SB 8.318, SSInt 4.118 NL.F[1]= 1.28e+006; NL.F[2]= 8.78e+005; NL.H[1]= 2.18e+007; NL.H[2]= 1.37e+007; H[No.4] at 100% = 48.565 (h) H.F[1]= 48.565 H.F[2]= 100.888 (h) H.H[1]= 825.737 H.H[2]= 1573.179 (h) Element no. 5 (h = 0.20%) n1 440.800 (rpm), T1 1218.575 (Nm), L1 56.250 (k W) Pair[1-2] K.A 1.250, K.V 1.029, K.Hb 1.126, K.Fb 1.088, K.Ha 1.000, K.Fa 1.000 SB 8.957, SSInt 4.199 NL.F[1]= 2.21e+006; NL.F[2]= 1.59e+006; NL.H[1]= 3.32e+007; NL.H[2]= 2.08e+007; H[No.5] at 100% = 83.521 (h) H.F[1]= 83.521 H.F[2]= 182.363 (h) H.H[1]= 1254.008 H.H[2]= 2389.113 (h) Element no. 6 (h = 1.10%) n1 440.800 (rpm), T1 1117.840 (Nm), L1 51.600 (k W) Pair[1-2] K.A 1.250, K.V 1.030, K.Hb 1.142, K.Fb 1.099, K.Ha 1.000, K.Fa 1.000 SB 9.679, SSInt 4.281 NL.F[1]= 1.82e+007; NL.F[2]= 3.09e+006; NL.H[1]= 5.41e+007; NL.H[2]= 3.23e+007; H[No.6] at 100% = 355.060 (h) H.F[1]= 687.128 H.F[2]= 355.060 (h) H.H[1]= 2046.023 H.H[2]= 3711.719 (h) Element no. 7 (h = 6.16%) n1 440.800 (rpm), T1 1015.479 (Nm), L1 46.875 (k W) Pair[1-2] K.A 1.250, K.V 1.032, K.Hb 1.161, K.Fb 1.112, K.Ha 1.000, K.Fa 1.000 SB 10.532, SSInt 4.369 NL.F[1]= 1.06e+009; NL.F[2]= 1.75e+008; NL.H[1]= 1.92e+008; NL.H[2]= 5.63e+007; H[No.7] at 100% = 6467.056 (h) H.F[1]= 40010.043 H.F[2]= 20093.428 (h) H.H[1]= 7243.142 H.H[2]= 6467.056 (h) Element no. 8 (h =92.50%) n1 440.800 (rpm), T1 914.744 (Nm), L1 42.225 (kW ) Pair[1-2] K.A 1.250, K.V 1.034, K.Hb 1.185, K.Fb 1.128, K.Ha 1.000, K.Fa 1.000 SB 11.519, SSInt 4.458
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 87 / 97
NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 7.37e+008; NL.H[2]= 2.17e+008; H[No.8] at 100% = 24891.569 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1]= 27879.050 H.H[2]= 24891.569 (h) Foot: H[1]= 19463.35 (h); H[2]= 20057.62 (h); Flanc: H[1]= 20319.86 (h); H[2]= 19692.9 1 (h); Damage(%) - refering to required life time 20000.0 00 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.3386 0.1856 0.0145 0.0076 2 1.0901 0.5738 0.0515 0.0270 3 4.3383 2.1861 0.2279 0.1196 4 14.0018 6.7401 0.8235 0.4322 5 47.8919 21.9343 3.1898 1.6743 6 32.0173 61.9614 10.7526 5.9272 7 3.0792 6.1314 17.0092 1 9.0504 8 0.0000 0.0000 66.3569 7 4.3211 Sum 102.7572 99.7127 98.4259 10 1.5594 Damage(%) - refering to total life time 19463.351 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.3295 0.1806 0.0141 0.0074 2 1.0608 0.5584 0.0501 0.0263 3 4.2219 2.1275 0.2218 0.1164 4 13.6261 6.5593 0.8014 0.4206 5 46.6068 21.3458 3.1042 1.6293 6 31.1582 60.2988 10.4641 5.7681 7 2.9966 5.9668 16.5528 1 8.5392 8 0.0000 0.0000 64.5764 7 2.3269 Sum 100.0000 97.0372 95.7849 9 8.8343 Loop 7 Results (for check only): P [kW] 75.0000 NL calculated with Safety factors: SF1 3.816, SF2 3.744, SH1 1.646, SH2 1.719, Element no. 1 (h = 0.00%) n1 440.800 (rpm), T1 1624.767 (Nm), L1 75.000 (k W) Pair[1-2] K.A 1.250, K.V 1.026, K.Hb 1.081, K.Fb 1.057, K.Ha 1.000, K.Fa 1.000 SB 6.836, SSInt 3.896 NL.F[1]= 3.15e+005; NL.F[2]= 1.87e+005; NL.H[1]= 7.25e+006; NL.H[2]= 4.6e+006; H[No.1] at 100% = 11.926 (h) H.F[1]= 11.926 H.F[2]= 21.538 (h) H.H[1]= 274.047 H.H[2]= 528.642 (h) Element no. 2 (h = 0.00%) n1 440.800 (rpm), T1 1524.031 (Nm), L1 70.350 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.090, K.Fb 1.063, K.Ha 1.000, K.Fa 1.000 SB 7.270, SSInt 3.967 NL.F[1]= 4.9e+005; NL.F[2]= 3.03e+005; NL.H[1]= 1.02e+007; NL.H[2]= 6.48e+006; H[No.2] at 100% = 18.523 (h) H.F[1]= 18.523 H.F[2]= 34.832 (h) H.H[1]= 386.037 H.H[2]= 744.671 (h) Element no. 3 (h = 0.01%) n1 440.800 (rpm), T1 1421.671 (Nm), L1 65.625 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.100, K.Fb 1.070, K.Ha 1.000, K.Fa 1.000 SB 7.766, SSInt 4.042 NL.F[1]= 7.88e+005; NL.F[2]= 5.09e+005; NL.H[1]= 1.48e+007; NL.H[2]= 9.37e+006; H[No.3] at 100% = 29.788 (h) H.F[1]= 29.788 H.F[2]= 58.511 (h) H.H[1]= 558.124 H.H[2]= 1076.630 (h) Element no. 4 (h = 0.03%) n1 440.800 (rpm), T1 1320.935 (Nm), L1 60.975 (k W) Pair[1-2] K.A 1.250, K.V 1.028, K.Hb 1.112, K.Fb 1.078, K.Ha 1.000, K.Fa 1.000 SB 8.318, SSInt 4.118 NL.F[1]= 1.3e+006; NL.F[2]= 8.77e+005; NL.H[1]= 2.17e+007; NL.H[2]= 1.38e+007; H[No.4] at 100% = 49.031 (h) H.F[1]= 49.031 H.F[2]= 100.820 (h) H.H[1]= 820.618 H.H[2]= 1582.986 (h) Element no. 5 (h = 0.20%)
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 88 / 97
n1 440.800 (rpm), T1 1218.575 (Nm), L1 56.250 (k W) Pair[1-2] K.A 1.250, K.V 1.029, K.Hb 1.126, K.Fb 1.088, K.Ha 1.000, K.Fa 1.000 SB 8.957, SSInt 4.199 NL.F[1]= 2.23e+006; NL.F[2]= 1.59e+006; NL.H[1]= 3.3e+007; NL.H[2]= 2.09e+007; H[No.5] at 100% = 84.322 (h) H.F[1]= 84.322 H.F[2]= 182.239 (h) H.H[1]= 1246.234 H.H[2]= 2404.007 (h) Element no. 6 (h = 1.10%) n1 440.800 (rpm), T1 1117.840 (Nm), L1 51.600 (k W) Pair[1-2] K.A 1.250, K.V 1.030, K.Hb 1.142, K.Fb 1.099, K.Ha 1.000, K.Fa 1.000 SB 9.679, SSInt 4.281 NL.F[1]= 1.93e+007; NL.F[2]= 3.08e+006; NL.H[1]= 5.32e+007; NL.H[2]= 3.25e+007; H[No.6] at 100% = 353.683 (h) H.F[1]= 729.996 H.F[2]= 353.683 (h) H.H[1]= 2012.786 H.H[2]= 3734.858 (h) Element no. 7 (h = 6.16%) n1 440.800 (rpm), T1 1015.479 (Nm), L1 46.875 (k W) Pair[1-2] K.A 1.250, K.V 1.032, K.Hb 1.161, K.Fb 1.112, K.Ha 1.000, K.Fa 1.000 SB 10.532, SSInt 4.369 NL.F[1]= 1.13e+009; NL.F[2]= 1.74e+008; NL.H[1]= 1.88e+008; NL.H[2]= 5.72e+007; H[No.7] at 100% = 6573.272 (h) H.F[1]= 42578.392 H.F[2]= 20012.657 (h) H.H[1]= 7126.031 H.H[2]= 6573.272 (h) Element no. 8 (h =92.50%) n1 440.800 (rpm), T1 914.744 (Nm), L1 42.225 (kW ) Pair[1-2] K.A 1.250, K.V 1.034, K.Hb 1.185, K.Fb 1.128, K.Ha 1.000, K.Fa 1.000 SB 11.519, SSInt 4.458 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 7.25e+008; NL.H[2]= 2.2e+008; H[No.8] at 100% = 25300.411 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1]= 27428.431 H.H[2]= 25300.411 (h) Foot: H[1]= 19990.27 (h); H[2]= 19999.98 (h); Flanc: H[1]= 20000 (h); H[2]= 20000.0 3 (h); Damage(%) - refering to required life time 20000.0 00 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.3354 0.1857 0.0146 0.0076 2 1.0797 0.5742 0.0518 0.0269 3 4.2971 2.1876 0.2293 0.1189 4 13.8688 6.7447 0.8286 0.4296 5 47.4370 21.9492 3.2097 1.6639 6 30.1372 62.2025 10.9301 5.8905 7 2.8935 6.1561 17.2887 1 8.7426 8 0.0000 0.0000 67.4471 7 3.1201 Sum 100.0487 100.0001 100.0000 9 9.9999 Damage(%) - refering to total life time 19990.274 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.3352 0.1856 0.0146 0.0076 2 1.0792 0.5739 0.0518 0.0268 3 4.2950 2.1866 0.2292 0.1188 4 13.8621 6.7414 0.8282 0.4294 5 47.4139 21.9385 3.2081 1.6631 6 30.1225 62.1723 10.9248 5.8876 7 2.8921 6.1531 17.2803 1 8.7335 8 0.0000 0.0000 67.4143 7 3.0845 Sum 100.0000 99.9515 99.9514 9 9.9512 Results (for check only): P [kW] 75.0000 NL calculated with Safety factors: SF1 3.812, SF2 3.743, SH1 1.645, SH2 1.720, Element no. 1 (h = 0.00%) n1 440.800 (rpm), T1 1624.767 (Nm), L1 75.000 (k W) Pair[1-2] K.A 1.250, K.V 1.026, K.Hb 1.081, K.Fb 1.057, K.Ha 1.000, K.Fa 1.000 SB 6.836, SSInt 3.896 NL.F[1]= 3.18e+005; NL.F[2]= 1.88e+005; NL.H[1]= 7.29e+006; NL.H[2]= 4.57e+006; H[No.1] at 100% = 12.018 (h) H.F[1]= 12.018 H.F[2]= 21.553 (h) H.H[1]= 275.757 H.H[2]= 525.366 (h) Element no. 2 (h = 0.00%)
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 89 / 97
n1 440.800 (rpm), T1 1524.031 (Nm), L1 70.350 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.090, K.Fb 1.063, K.Ha 1.000, K.Fa 1.000 SB 7.270, SSInt 3.967 NL.F[1]= 4.94e+005; NL.F[2]= 3.03e+005; NL.H[1]= 1.03e+007; NL.H[2]= 6.44e+006; H[No.2] at 100% = 18.666 (h) H.F[1]= 18.666 H.F[2]= 34.856 (h) H.H[1]= 388.445 H.H[2]= 740.058 (h) Element no. 3 (h = 0.01%) n1 440.800 (rpm), T1 1421.671 (Nm), L1 65.625 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.100, K.Fb 1.070, K.Ha 1.000, K.Fa 1.000 SB 7.766, SSInt 4.042 NL.F[1]= 7.94e+005; NL.F[2]= 5.09e+005; NL.H[1]= 1.49e+007; NL.H[2]= 9.31e+006; H[No.3] at 100% = 30.017 (h) H.F[1]= 30.017 H.F[2]= 58.551 (h) H.H[1]= 561.605 H.H[2]= 1069.960 (h) Element no. 4 (h = 0.03%) n1 440.800 (rpm), T1 1320.935 (Nm), L1 60.975 (k W) Pair[1-2] K.A 1.250, K.V 1.028, K.Hb 1.112, K.Fb 1.078, K.Ha 1.000, K.Fa 1.000 SB 8.318, SSInt 4.118 NL.F[1]= 1.31e+006; NL.F[2]= 8.78e+005; NL.H[1]= 2.18e+007; NL.H[2]= 1.37e+007; H[No.4] at 100% = 49.408 (h) H.F[1]= 49.408 H.F[2]= 100.888 (h) H.H[1]= 825.737 H.H[2]= 1573.179 (h) Element no. 5 (h = 0.20%) n1 440.800 (rpm), T1 1218.575 (Nm), L1 56.250 (k W) Pair[1-2] K.A 1.250, K.V 1.029, K.Hb 1.126, K.Fb 1.088, K.Ha 1.000, K.Fa 1.000 SB 8.957, SSInt 4.199 NL.F[1]= 2.25e+006; NL.F[2]= 1.59e+006; NL.H[1]= 3.32e+007; NL.H[2]= 2.08e+007; H[No.5] at 100% = 84.971 (h) H.F[1]= 84.971 H.F[2]= 182.363 (h) H.H[1]= 1254.008 H.H[2]= 2389.113 (h) Element no. 6 (h = 1.10%) n1 440.800 (rpm), T1 1117.840 (Nm), L1 51.600 (k W) Pair[1-2] K.A 1.250, K.V 1.030, K.Hb 1.142, K.Fb 1.099, K.Ha 1.000, K.Fa 1.000 SB 9.679, SSInt 4.281 NL.F[1]= 2.03e+007; NL.F[2]= 3.09e+006; NL.H[1]= 5.41e+007; NL.H[2]= 3.23e+007; H[No.6] at 100% = 355.060 (h) H.F[1]= 766.353 H.F[2]= 355.060 (h) H.H[1]= 2046.023 H.H[2]= 3711.719 (h) Element no. 7 (h = 6.16%) n1 440.800 (rpm), T1 1015.479 (Nm), L1 46.875 (k W) Pair[1-2] K.A 1.250, K.V 1.032, K.Hb 1.161, K.Fb 1.112, K.Ha 1.000, K.Fa 1.000 SB 10.532, SSInt 4.369 NL.F[1]= 1.18e+009; NL.F[2]= 1.75e+008; NL.H[1]= 1.92e+008; NL.H[2]= 5.63e+007; H[No.7] at 100% = 6467.056 (h) H.F[1]= 44758.634 H.F[2]= 20093.428 (h) H.H[1]= 7243.142 H.H[2]= 6467.056 (h) Element no. 8 (h =92.50%) n1 440.800 (rpm), T1 914.744 (Nm), L1 42.225 (kW ) Pair[1-2] K.A 1.250, K.V 1.034, K.Hb 1.185, K.Fb 1.128, K.Ha 1.000, K.Fa 1.000 SB 11.519, SSInt 4.458 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 7.37e+008; NL.H[2]= 2.17e+008; H[No.8] at 100% = 24891.569 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1]= 27879.050 H.H[2]= 24891.569 (h) Foot: H[1]= 20415.14 (h); H[2]= 20057.62 (h); Flanc: H[1]= 20319.86 (h); H[2]= 19692.9 1 (h); Damage(%) - refering to required life time 20000.0 00 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.3328 0.1856 0.0145 0.0076 2 1.0715 0.5738 0.0515 0.0270 3 4.2643 2.1861 0.2279 0.1196 4 13.7630 6.7401 0.8235 0.4322 5 47.0750 21.9343 3.1898 1.6743 6 28.7074 61.9614 10.7526 5.9272 7 2.7525 6.1314 17.0092 1 9.0504 8 0.0000 0.0000 66.3569 7 4.3211 Sum 97.9665 99.7127 98.4259 10 1.5594
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 90 / 97
Damage(%) - refering to total life time 19692.905 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.3277 0.1827 0.0143 0.0075 2 1.0550 0.5650 0.0507 0.0266 3 4.1988 2.1526 0.2244 0.1178 4 13.5517 6.6366 0.8109 0.4256 5 46.3522 21.5975 3.1408 1.6486 6 28.2666 61.0100 10.5875 5.8362 7 2.7103 6.0372 16.7480 1 8.7579 8 0.0000 0.0000 65.3380 7 3.1799 Sum 96.4623 98.1817 96.9146 10 0.0000 Loop 8 Results (for check only): P [kW] 75.0000 NL calculated with Safety factors: SF1 3.816, SF2 3.744, SH1 1.646, SH2 1.719, Element no. 1 (h = 0.00%) n1 440.800 (rpm), T1 1624.767 (Nm), L1 75.000 (k W) Pair[1-2] K.A 1.250, K.V 1.026, K.Hb 1.081, K.Fb 1.057, K.Ha 1.000, K.Fa 1.000 SB 6.836, SSInt 3.896 NL.F[1]= 3.15e+005; NL.F[2]= 1.87e+005; NL.H[1]= 7.25e+006; NL.H[2]= 4.6e+006; H[No.1] at 100% = 11.929 (h) H.F[1]= 11.929 H.F[2]= 21.538 (h) H.H[1]= 274.047 H.H[2]= 528.642 (h) Element no. 2 (h = 0.00%) n1 440.800 (rpm), T1 1524.031 (Nm), L1 70.350 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.090, K.Fb 1.063, K.Ha 1.000, K.Fa 1.000 SB 7.270, SSInt 3.967 NL.F[1]= 4.9e+005; NL.F[2]= 3.03e+005; NL.H[1]= 1.02e+007; NL.H[2]= 6.48e+006; H[No.2] at 100% = 18.527 (h) H.F[1]= 18.527 H.F[2]= 34.832 (h) H.H[1]= 386.037 H.H[2]= 744.671 (h) Element no. 3 (h = 0.01%) n1 440.800 (rpm), T1 1421.671 (Nm), L1 65.625 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.100, K.Fb 1.070, K.Ha 1.000, K.Fa 1.000 SB 7.766, SSInt 4.042 NL.F[1]= 7.88e+005; NL.F[2]= 5.09e+005; NL.H[1]= 1.48e+007; NL.H[2]= 9.37e+006; H[No.3] at 100% = 29.793 (h) H.F[1]= 29.793 H.F[2]= 58.511 (h) H.H[1]= 558.124 H.H[2]= 1076.630 (h) Element no. 4 (h = 0.03%) n1 440.800 (rpm), T1 1320.935 (Nm), L1 60.975 (k W) Pair[1-2] K.A 1.250, K.V 1.028, K.Hb 1.112, K.Fb 1.078, K.Ha 1.000, K.Fa 1.000 SB 8.318, SSInt 4.118 NL.F[1]= 1.3e+006; NL.F[2]= 8.77e+005; NL.H[1]= 2.17e+007; NL.H[2]= 1.38e+007; H[No.4] at 100% = 49.039 (h) H.F[1]= 49.039 H.F[2]= 100.820 (h) H.H[1]= 820.618 H.H[2]= 1582.986 (h) Element no. 5 (h = 0.20%) n1 440.800 (rpm), T1 1218.575 (Nm), L1 56.250 (k W) Pair[1-2] K.A 1.250, K.V 1.029, K.Hb 1.126, K.Fb 1.088, K.Ha 1.000, K.Fa 1.000 SB 8.957, SSInt 4.199 NL.F[1]= 2.23e+006; NL.F[2]= 1.59e+006; NL.H[1]= 3.3e+007; NL.H[2]= 2.09e+007; H[No.5] at 100% = 84.337 (h) H.F[1]= 84.337 H.F[2]= 182.239 (h) H.H[1]= 1246.234 H.H[2]= 2404.007 (h) Element no. 6 (h = 1.10%) n1 440.800 (rpm), T1 1117.840 (Nm), L1 51.600 (k W) Pair[1-2] K.A 1.250, K.V 1.030, K.Hb 1.142, K.Fb 1.099, K.Ha 1.000, K.Fa 1.000 SB 9.679, SSInt 4.281 NL.F[1]= 1.93e+007; NL.F[2]= 3.08e+006; NL.H[1]= 5.32e+007; NL.H[2]= 3.25e+007; H[No.6] at 100% = 353.683 (h) H.F[1]= 730.816 H.F[2]= 353.683 (h) H.H[1]= 2012.786 H.H[2]= 3734.858 (h) Element no. 7 (h = 6.16%) n1 440.800 (rpm), T1 1015.479 (Nm), L1 46.875 (k W) Pair[1-2] K.A 1.250, K.V 1.032, K.Hb 1.161, K.Fb 1.112, K.Ha 1.000, K.Fa 1.000 SB 10.532, SSInt 4.369
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 91 / 97
NL.F[1]= 1.13e+009; NL.F[2]= 1.74e+008; NL.H[1]= 1.88e+008; NL.H[2]= 5.72e+007; H[No.7] at 100% = 6573.272 (h) H.F[1]= 42627.575 H.F[2]= 20012.657 (h) H.H[1]= 7126.031 H.H[2]= 6573.272 (h) Element no. 8 (h =92.50%) n1 440.800 (rpm), T1 914.744 (Nm), L1 42.225 (kW ) Pair[1-2] K.A 1.250, K.V 1.034, K.Hb 1.185, K.Fb 1.128, K.Ha 1.000, K.Fa 1.000 SB 11.519, SSInt 4.458 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 7.25e+008; NL.H[2]= 2.2e+008; H[No.8] at 100% = 25300.411 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1]= 27428.431 H.H[2]= 25300.411 (h) Foot: H[1]= 20000.08 (h); H[2]= 19999.98 (h); Flanc: H[1]= 20000 (h); H[2]= 20000.0 3 (h); Damage(%) - refering to required life time 20000.0 00 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.3353 0.1857 0.0146 0.0076 2 1.0795 0.5742 0.0518 0.0269 3 4.2963 2.1876 0.2293 0.1189 4 13.8664 6.7447 0.8286 0.4296 5 47.4286 21.9492 3.2097 1.6639 6 30.1033 62.2025 10.9301 5.8905 7 2.8901 6.1561 17.2887 1 8.7426 8 0.0000 0.0000 67.4471 7 3.1201 Sum 99.9996 100.0001 100.0000 9 9.9999 Damage(%) - refering to total life time 19999.978 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.3353 0.1857 0.0146 0.0076 2 1.0795 0.5742 0.0518 0.0269 3 4.2963 2.1876 0.2293 0.1189 4 13.8664 6.7447 0.8286 0.4296 5 47.4285 21.9492 3.2097 1.6639 6 30.1033 62.2025 10.9301 5.8904 7 2.8901 6.1561 17.2887 1 8.7425 8 0.0000 0.0000 67.4470 7 3.1200 Sum 99.9995 100.0000 99.9999 9 9.9998 Results (for check only): P [kW] 75.0000 NL calculated with Safety factors: SF1 3.820, SF2 3.743, SH1 1.645, SH2 1.720, Element no. 1 (h = 0.00%) n1 440.800 (rpm), T1 1624.767 (Nm), L1 75.000 (k W) Pair[1-2] K.A 1.250, K.V 1.026, K.Hb 1.081, K.Fb 1.057, K.Ha 1.000, K.Fa 1.000 SB 6.836, SSInt 3.896 NL.F[1]= 3.13e+005; NL.F[2]= 1.88e+005; NL.H[1]= 7.29e+006; NL.H[2]= 4.57e+006; H[No.1] at 100% = 11.838 (h) H.F[1]= 11.838 H.F[2]= 21.553 (h) H.H[1]= 275.757 H.H[2]= 525.366 (h) Element no. 2 (h = 0.00%) n1 440.800 (rpm), T1 1524.031 (Nm), L1 70.350 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.090, K.Fb 1.063, K.Ha 1.000, K.Fa 1.000 SB 7.270, SSInt 3.967 NL.F[1]= 4.86e+005; NL.F[2]= 3.03e+005; NL.H[1]= 1.03e+007; NL.H[2]= 6.44e+006; H[No.2] at 100% = 18.385 (h) H.F[1]= 18.385 H.F[2]= 34.856 (h) H.H[1]= 388.445 H.H[2]= 740.058 (h) Element no. 3 (h = 0.01%) n1 440.800 (rpm), T1 1421.671 (Nm), L1 65.625 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.100, K.Fb 1.070, K.Ha 1.000, K.Fa 1.000 SB 7.766, SSInt 4.042 NL.F[1]= 7.82e+005; NL.F[2]= 5.09e+005; NL.H[1]= 1.49e+007; NL.H[2]= 9.31e+006; H[No.3] at 100% = 29.566 (h) H.F[1]= 29.566 H.F[2]= 58.551 (h) H.H[1]= 561.605 H.H[2]= 1069.960 (h) Element no. 4 (h = 0.03%) n1 440.800 (rpm), T1 1320.935 (Nm), L1 60.975 (k W) Pair[1-2] K.A 1.250, K.V 1.028, K.Hb 1.112, K.Fb 1.078, K.Ha 1.000, K.Fa 1.000 SB 8.318, SSInt 4.118
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 92 / 97
NL.F[1]= 1.29e+006; NL.F[2]= 8.78e+005; NL.H[1]= 2.18e+007; NL.H[2]= 1.37e+007; H[No.4] at 100% = 48.666 (h) H.F[1]= 48.666 H.F[2]= 100.888 (h) H.H[1]= 825.737 H.H[2]= 1573.179 (h) Element no. 5 (h = 0.20%) n1 440.800 (rpm), T1 1218.575 (Nm), L1 56.250 (k W) Pair[1-2] K.A 1.250, K.V 1.029, K.Hb 1.126, K.Fb 1.088, K.Ha 1.000, K.Fa 1.000 SB 8.957, SSInt 4.199 NL.F[1]= 2.21e+006; NL.F[2]= 1.59e+006; NL.H[1]= 3.32e+007; NL.H[2]= 2.08e+007; H[No.5] at 100% = 83.694 (h) H.F[1]= 83.694 H.F[2]= 182.363 (h) H.H[1]= 1254.008 H.H[2]= 2389.113 (h) Element no. 6 (h = 1.10%) n1 440.800 (rpm), T1 1117.840 (Nm), L1 51.600 (k W) Pair[1-2] K.A 1.250, K.V 1.030, K.Hb 1.142, K.Fb 1.099, K.Ha 1.000, K.Fa 1.000 SB 9.679, SSInt 4.281 NL.F[1]= 1.84e+007; NL.F[2]= 3.09e+006; NL.H[1]= 5.41e+007; NL.H[2]= 3.23e+007; H[No.6] at 100% = 355.060 (h) H.F[1]= 696.197 H.F[2]= 355.060 (h) H.H[1]= 2046.023 H.H[2]= 3711.719 (h) Element no. 7 (h = 6.16%) n1 440.800 (rpm), T1 1015.479 (Nm), L1 46.875 (k W) Pair[1-2] K.A 1.250, K.V 1.032, K.Hb 1.161, K.Fb 1.112, K.Ha 1.000, K.Fa 1.000 SB 10.532, SSInt 4.369 NL.F[1]= 1.07e+009; NL.F[2]= 1.75e+008; NL.H[1]= 1.92e+008; NL.H[2]= 5.63e+007; H[No.7] at 100% = 6467.056 (h) H.F[1]= 40553.162 H.F[2]= 20093.428 (h) H.H[1]= 7243.142 H.H[2]= 6467.056 (h) Element no. 8 (h =92.50%) n1 440.800 (rpm), T1 914.744 (Nm), L1 42.225 (kW ) Pair[1-2] K.A 1.250, K.V 1.034, K.Hb 1.185, K.Fb 1.128, K.Ha 1.000, K.Fa 1.000 SB 11.519, SSInt 4.458 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 7.37e+008; NL.H[2]= 2.17e+008; H[No.8] at 100% = 24891.569 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1]= 27879.050 H.H[2]= 24891.569 (h) Foot: H[1]= 19577.3 (h); H[2]= 20057.62 (h); Flanc: H[1]= 20319.86 (h); H[2]= 19692.9 1 (h); Damage(%) - refering to required life time 20000.0 00 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.3379 0.1856 0.0145 0.0076 2 1.0878 0.5738 0.0515 0.0270 3 4.3293 2.1861 0.2279 0.1196 4 13.9729 6.7401 0.8235 0.4322 5 47.7929 21.9343 3.1898 1.6743 6 31.6003 61.9614 10.7526 5.9272 7 3.0380 6.1314 17.0092 1 9.0504 8 0.0000 0.0000 66.3569 7 4.3211 Sum 102.1591 99.7127 98.4259 10 1.5594 Damage(%) - refering to total life time 19577.300 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.3308 0.1817 0.0142 0.0075 2 1.0648 0.5617 0.0504 0.0265 3 4.2378 2.1399 0.2231 0.1171 4 13.6776 6.5977 0.8061 0.4231 5 46.7828 21.4707 3.1224 1.6389 6 30.9324 60.6519 10.5253 5.8019 7 2.9738 6.0018 16.6497 1 8.6478 8 0.0000 0.0000 64.9545 7 2.7503 Sum 100.0000 97.6053 96.3456 9 9.4130 Loop 9 Results (for check only): P [kW] 75.0000 NL calculated with Safety factors: SF1 3.816, SF2 3.744, SH1 1.646, SH2 1.719, Element no. 1 (h = 0.00%)
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 93 / 97
n1 440.800 (rpm), T1 1624.767 (Nm), L1 75.000 (k W) Pair[1-2] K.A 1.250, K.V 1.026, K.Hb 1.081, K.Fb 1.057, K.Ha 1.000, K.Fa 1.000 SB 6.836, SSInt 3.896 NL.F[1]= 3.15e+005; NL.F[2]= 1.87e+005; NL.H[1]= 7.25e+006; NL.H[2]= 4.6e+006; H[No.1] at 100% = 11.929 (h) H.F[1]= 11.929 H.F[2]= 21.538 (h) H.H[1]= 274.047 H.H[2]= 528.642 (h) Element no. 2 (h = 0.00%) n1 440.800 (rpm), T1 1524.031 (Nm), L1 70.350 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.090, K.Fb 1.063, K.Ha 1.000, K.Fa 1.000 SB 7.270, SSInt 3.967 NL.F[1]= 4.9e+005; NL.F[2]= 3.03e+005; NL.H[1]= 1.02e+007; NL.H[2]= 6.48e+006; H[No.2] at 100% = 18.527 (h) H.F[1]= 18.527 H.F[2]= 34.832 (h) H.H[1]= 386.037 H.H[2]= 744.671 (h) Element no. 3 (h = 0.01%) n1 440.800 (rpm), T1 1421.671 (Nm), L1 65.625 (k W) Pair[1-2] K.A 1.250, K.V 1.027, K.Hb 1.100, K.Fb 1.070, K.Ha 1.000, K.Fa 1.000 SB 7.766, SSInt 4.042 NL.F[1]= 7.88e+005; NL.F[2]= 5.09e+005; NL.H[1]= 1.48e+007; NL.H[2]= 9.37e+006; H[No.3] at 100% = 29.793 (h) H.F[1]= 29.793 H.F[2]= 58.511 (h) H.H[1]= 558.124 H.H[2]= 1076.630 (h) Element no. 4 (h = 0.03%) n1 440.800 (rpm), T1 1320.935 (Nm), L1 60.975 (k W) Pair[1-2] K.A 1.250, K.V 1.028, K.Hb 1.112, K.Fb 1.078, K.Ha 1.000, K.Fa 1.000 SB 8.318, SSInt 4.118 NL.F[1]= 1.3e+006; NL.F[2]= 8.77e+005; NL.H[1]= 2.17e+007; NL.H[2]= 1.38e+007; H[No.4] at 100% = 49.039 (h) H.F[1]= 49.039 H.F[2]= 100.820 (h) H.H[1]= 820.618 H.H[2]= 1582.986 (h) Element no. 5 (h = 0.20%) n1 440.800 (rpm), T1 1218.575 (Nm), L1 56.250 (k W) Pair[1-2] K.A 1.250, K.V 1.029, K.Hb 1.126, K.Fb 1.088, K.Ha 1.000, K.Fa 1.000 SB 8.957, SSInt 4.199 NL.F[1]= 2.23e+006; NL.F[2]= 1.59e+006; NL.H[1]= 3.3e+007; NL.H[2]= 2.09e+007; H[No.5] at 100% = 84.337 (h) H.F[1]= 84.337 H.F[2]= 182.239 (h) H.H[1]= 1246.234 H.H[2]= 2404.007 (h) Element no. 6 (h = 1.10%) n1 440.800 (rpm), T1 1117.840 (Nm), L1 51.600 (k W) Pair[1-2] K.A 1.250, K.V 1.030, K.Hb 1.142, K.Fb 1.099, K.Ha 1.000, K.Fa 1.000 SB 9.679, SSInt 4.281 NL.F[1]= 1.93e+007; NL.F[2]= 3.08e+006; NL.H[1]= 5.32e+007; NL.H[2]= 3.25e+007; H[No.6] at 100% = 353.683 (h) H.F[1]= 730.816 H.F[2]= 353.683 (h) H.H[1]= 2012.786 H.H[2]= 3734.858 (h) Element no. 7 (h = 6.16%) n1 440.800 (rpm), T1 1015.479 (Nm), L1 46.875 (k W) Pair[1-2] K.A 1.250, K.V 1.032, K.Hb 1.161, K.Fb 1.112, K.Ha 1.000, K.Fa 1.000 SB 10.532, SSInt 4.369 NL.F[1]= 1.13e+009; NL.F[2]= 1.74e+008; NL.H[1]= 1.88e+008; NL.H[2]= 5.72e+007; H[No.7] at 100% = 6573.272 (h) H.F[1]= 42627.575 H.F[2]= 20012.657 (h) H.H[1]= 7126.031 H.H[2]= 6573.272 (h) Element no. 8 (h =92.50%) n1 440.800 (rpm), T1 914.744 (Nm), L1 42.225 (kW ) Pair[1-2] K.A 1.250, K.V 1.034, K.Hb 1.185, K.Fb 1.128, K.Ha 1.000, K.Fa 1.000 SB 11.519, SSInt 4.458 NL.F[1]= 1e+010; NL.F[2]= 1e+010; NL.H[1]= 7.25e+008; NL.H[2]= 2.2e+008; H[No.8] at 100% = 25300.411 (h) H.F[1] > 1e6 H.F[2] > 1e6 (h) H.H[1]= 27428.431 H.H[2]= 25300.411 (h) Foot: H[1]= 20000.08 (h); H[2]= 19999.98 (h); Flanc: H[1]= 20000 (h); H[2]= 20000.0 3 (h); Damage(%) - refering to required life time 20000.0 00 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.3353 0.1857 0.0146 0.0076
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 94 / 97
2 1.0795 0.5742 0.0518 0.0269 3 4.2963 2.1876 0.2293 0.1189 4 13.8664 6.7447 0.8286 0.4296 5 47.4286 21.9492 3.2097 1.6639 6 30.1033 62.2025 10.9301 5.8905 7 2.8901 6.1561 17.2887 1 8.7426 8 0.0000 0.0000 67.4471 7 3.1201 Sum 99.9996 100.0001 100.0000 9 9.9999 Damage(%) - refering to total life time 19999.978 h Element no. Damage(%) (F1, F2,... H1, H2,...) 1 0.3353 0.1857 0.0146 0.0076 2 1.0795 0.5742 0.0518 0.0269 3 4.2963 2.1876 0.2293 0.1189 4 13.8664 6.7447 0.8286 0.4296 5 47.4285 21.9492 3.2097 1.6639 6 30.1033 62.2025 10.9301 5.8904 7 2.8901 6.1561 17.2887 1 8.7425 8 0.0000 0.0000 67.4470 7 3.1200 Sum 99.9995 100.0000 99.9999 9 9.9998 End report lines : 1820
9.7 Sizing
9.7.1 Rough sizing No report
9.7.2 Fine sizing
KISSsoft - Release 03-2008 KISSsoft Evaluationsversion File Name : CylGearPair 1 (spur gear) Description: KISSsoft example Changed by : HD on: 31.01.2008 at : 10:33:34 Analysis of the results (Assessment of importan t characteristics) Comment: No. = Number of the variant diff_i = Deviation from the nominal ratio i n % kg = Weight in kg Slide = Specific sliding (maximum value) v.Slide = Sliding velocity (m/s, maximum val ue) AC/AE = Begin working depth AC / working d epth AE (Friction) s_Rig = Variant on the stiffness during ro lling (N/mm/mym) (Calculation WITHOUT taking into a ccount the exact tooth-shape) 1-eta = Losses in % (1.0-total efficiency) Safety = Safety (Tooth root and flank, 0 = high, 1 = medium, 2 = low) (SF-min: 0.60/ 1.20/ 1.40 SH-min: 0.60/ 0.90/ 1.00) Summary = Overall assessment (weighted) (50.0%:s_Rig 20.0%:diff_i 10.0%: kg 35.0%:Slide 0.0%:v.Slide 0.0%:AC/AE 10.0%:1-eta 100.0%: Safety) (For this table it can be said in general: the smal ler the value the better!) No. diff_i kg Slide v.Slide AC/AE s_Ri g 1-eta Safety Summary 1 1.425 62.331 0.952 0.656 0.532 1.65 7 0.520 0.820 0.418 2 1.425 62.198 0.804 0.631 0.484 1.70 3 0.510 0.847 0.429
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 95 / 97
3 1.425 62.065 0.672 0.683 0.436 1.77 6 0.518 0.862 0.435 4 2.339 62.531 1.142 0.683 0.521 1.25 9 0.586 0.819 0.424 5 2.339 62.397 0.952 0.683 0.474 1.27 2 0.578 0.840 0.432 6 2.339 62.263 0.787 0.737 0.427 1.31 0 0.588 0.851 0.436 7 3.253 62.688 1.386 0.705 0.510 0.93 2 0.658 0.786 0.416 8 3.253 62.553 1.133 0.732 0.465 0.95 5 0.652 0.810 0.425 9 3.253 62.419 0.920 0.786 0.419 0.99 9 0.665 0.824 0.429
… … … 537 0.329 63.953 1.107 0.977 0.468 0.614 0.724 0.485 0.271 538 0.329 63.724 0.905 1.053 0.421 0.60 4 0.742 0.485 0.270 539 1.974 64.406 1.663 0.971 0.504 0.58 6 0.778 0.489 0.282 540 1.974 64.173 1.330 1.034 0.458 0.56 1 0.779 0.490 0.281 541 1.974 63.942 1.061 1.111 0.411 0.54 8 0.801 0.489 0.279 542 -4.449 63.238 1.571 1.003 0.510 0.60 9 0.729 0.470 0.282 543 -4.449 63.016 1.272 1.045 0.464 0.57 5 0.727 0.466 0.279 544 -4.449 62.796 1.025 1.124 0.417 0.56 6 0.746 0.465 0.277 Analysis of the results (with the variant index in decreasing order) Best variant for accurate ratio: 351 352 379 3 80 381 401 402 431 432 433 ... Best solutions for weight: 87 57 27 186 15 3 86 56 124 26 90 ... Best variants relative to friction (AC/AE): 483 360 469 368 383 476 493 385 394 212 ... Best solution for stiffness: 342 350 341 340 349 348 339 347 338 346 ... Best variant for strength: 544 543 542 531 45 4 532 457 458 456 455 ... Best overall variants (summary) : 506 503 538 500 502 505 513 458 537 499 ... Determination of toothing variants Input data: Nominal ratio 3.040 +- 5.000 % (2.888 ... 3.192) Power: 75.0000 kW Reference speed (rpm): 440.80 (Gear 1) Module from 4.0000 mm to 7.0000 mm with step-width 1.0000 mm Pressure angle from 17.500 to 25.000 with step wid th 5.000 Helix angle from 10.000 to 20.000 with step-width 5 .000 center distance 303.0000 mm profile shift permissible in range -0.600 ... 1.000 Minimal number of teeth 9 >> Results with specific sliding > 3 will be discha rged. >> Results showing tooth thickness at tip less than minimal tooth thickness are rejected. Constraint: dFf-db >= 0.010*mn Constraint: dNf-dFf >= 0.010*mn >> Second momentum:Only the values for the internal reference diameter will appear in the output Comment: No. = Number of the variant mn = Normal module alfa = Pressure angle beta = Helix angle Z1, Z2 = Number of teeth for gear 1, 2 X1+X2, X1, X2 = Sum of profile shift coefficient, gear 1, gear 2 Ea = Transverse contact ratio (eps_a.e+ eps_a.i)/2 Eb = Overlap ratio Eg = Total contact ratio (eps_g.e+eps_g .i)/2 * = Variants marked with * are optimal (even contact ratio) Slide = Specific sliding (maximum value) i = Ratio diff_i = Deviation from the nominal ratio i n % SF1, SF2 = Safety factor for tooth root Gear 1, 2 SH1, SH2 = Safety factor for Hertzian stress (for single tooth contact) Gear 1, 2 SB = Safety factor against scuffing, fl ash temperature SInt = Safety factor against scuffing, in tegral temperature s_Rig = Variant on the stiffness during ro lling (N/mm/mym) (Calculation WITHOUT taking into a ccount the exact tooth-shape)
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 96 / 97
No. mn alfa beta Z1 Z2 X1+X2 X1 Ea Eb Eg Slide i diff_i SF1 SF2 SH1 SH2 SB SInt s_Rig 1 4.00 17.5 10.0 36 111 +1.193 +0.292 1.66 0.6 1 2.27 -0.95-0.55 3.08+1.4 1.62 1.60 1.35 1.42 6.80 4.08 1.66 2 +0.392 1.65 0.6 1 2.25 -0.80-0.61 1.60 1.54 1.34 1.40 7.86 4.07 1.70 3 +0.492 1.63 0.6 1 2.24 -0.67-0.67 1.61 1.51 1.34 1.40 9.36 4.06 1.78 4 4.00 17.5 10.0 36 112 +0.632 +0.170 1.77 0.6 1 2.38 -1.14-0.65 3.11+2.3 1.65 1.60 1.35 1.41 5.31 3.97 1.26 5 +0.270 1.75 0.6 1 2.36 -0.95-0.72 1.64 1.55 1.34 1.40 6.26 3.96 1.27 6 +0.370 1.74 0.6 1 2.34 -0.79-0.79 1.65 1.53 1.34 1.39
… … … +0.073 1.46 0.68 2.14 -1.33-0.97 3.26 3.37 1.36 1.44 5.49 3.65 0.56 541 +0.173 1.44 0.6 8 2.13 -1.06-1.06 3.30 3.31 1.37 1.43 5.42 3.62 0.55 542 7.00 22.5 20.0 21 61 -0.338 -0.049 1.48 0.6 8 2.16 -1.57-0.85 2.90-4.4 3.33 3.54 1.41 1.49 4.86 3.72 0.61 543 +0.051 1.47 0.6 8 2.15 -1.27-0.94 3.40 3.50 1.42 1.49 6.01 3.73 0.57 544 +0.151 1.45 0.6 8 2.14 -1.03-1.03 3.44 3.44 1.42 1.48 5.97 3.70 0.57 End report lines: 1186
9.8 Additional reports, planetary calculation
9.8.1 Centre point calculation
KISSsoft - Release 03-2008 KISSsoft Evaluationsversion File Name : PlanetarySet 1 (ISO6336) Changed by : HD on: 04.02.2008 at : 10:19:18 Calculation of the centers of the planets for the m ost regular Arrangement (taking into account the assembly crite rion). Pitch in degree 120.00000 Point 1 Angle (°) 0.000000 X (mm) 25.300000 Y (mm) 0.000000 Point 2 Angle (°) 120.000000 X (mm) -12.650000 Y (mm) 21.910000 Point 3 Angle (°) 240.000000 X (mm) -12.650000 Y (mm) -21.910000 Bottom clearance (distance between tip circles) Gea r 2-2: 14.14 mm End report lines: 32
C:\HD\EES\KISSsoft\Mutter-aller-Prospekte\Gear-Windows.doc 97 / 97