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INTERNATIONAL JOURNAL OF PROFESSIONAL ENGINEERING STUDIES Volume 9 /Issue 2 / OCT 2017
IJPRES
SPUR GEAR DEVELOPMENT & ANALYSIS USING RAPID PROTOTYPING BY
REVERSE ENGINEERING 1 B.PRAVEEN KUMAR, 2 MOHAMMED ISRAN SHAREEF
1 Associate professor , Dept of MECH, Talla Padmavathi College of Engineering, Kazipet, Warangal,T.S, India
Email: [email protected] 2 PG Scholar, Dept of MECH, Talla Padmavathi College of Engineering, Kazipet, Warangal, T.S, India
Email: [email protected]
ABSTRACT
This project is about application of reverse
engineering. Reverse engineering helps in obtaining
the geometry of part or product which is not available
otherwise. Its application makes it possible to
reconstruct the original component with its drawing
and manufacturing process. In this project we are
going to produce spur gear used in automobile by
Reverse Engineering. The procedure includes various
stages which will help understand the different
phases of reverse engineering.
The process starts with understanding the
reverse engineering procedure. The part geometry is
first obtained with the help of scanning technology.
Then with the use of different software’s, the three-
dimensional model of the spur gear is obtained. Once
the CAD model is obtained the part is analyzed using
SOLIDWORKS simulation tool. After the optimized
geometry is obtained, the pattern of the part is
obtained using Rapid prototyping machine. This can
be used for casting of the original part.
INTRODUCTION TO REVERSE ENGINEERING In today’s intensely competitive global market,
product enterprises are constantly seeking new ways
to shorten lead times for new product developments
that meet all customer expectations. In general,
product enterprise has invested in CAD/CAM, rapid
prototyping, and a range of new technologies that
provide business benefits. Reverse engineering (RE)
is now considered one of the technologies that
provide business benefits in shortening the product
development cycle. Figure 1.1 below depicts how RE
allows the possibilities of closing the loop between
what is “as designed” and what is “actually
manufactured
Figure: product development life cycle
What Is Reverse Engineering?
Engineering is the process of designing, , assembling,
manufacturing and maintaining products and
systems. There are two types of engineering, forward
engineering and reverse engineering. Forward
engineering is the traditional process of moving from
high-level abstractions and logical designs to the
physical implementation of a system. In some
situations, there may be a physical part/ product
without any technical details, such as drawings, bills-
of-material, or without engineering data. The process
of duplicating an existing part, subassembly, or
product, without drawings, documentation, or a
computer model is known as reverse engineering.

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Reverse engineering is also defined as the process of
obtaining a geometric CAD model from 3-D points
acquired by scanning/ digitizing existing
parts/products.
Figure: Physical-to-digital process
USE OF REVERSE ENGINEERING
Following are some of the reasons for using reverse
engineering:
• The original manufacturer no longer exists, but a
customer needs the product, e.g., aircraft spares
required typically after an aircraft has been in service
for several years.
• The original manufacturer of a product no longer
produces the product, e.g., the original product has
become obsolete.
• The original product design documentation has been
lost or never existed.
• Creating data to refurbish or manufacture a part for
which there are no CAD data, or for which the data
have become obsolete or lost.
• Inspection and/or Quality Control–Comparing a
fabricated part to its CAD description or to a standard
item.
• Some bad features of a product need to be
eliminated e.g., excessive wear might indicate where
a product should be improved.
• Strengthening the good features of a product based
on long-term usage.
• Analyzing the good and bad features of
competitors’ products.
• Exploring new avenues to improve product
performance and features.
• Creating 3-D data from a model or sculpture for
animation in games and movies.
• Creating 3-D data from an individual, model or
sculpture to create, scale, or reproduce artwork.
• Architectural and construction documentation and
measurement.
• Fitting clothing or footwear to individuals and
determining the anthropometry of a population.
• Generating data to create dental or surgical
prosthetics, tissue engineered body parts, or for
surgical planning.
• Documentation and reproduction of crime scenes.
The above list is not exhaustive and there
are many more reasons for using reverse engineering,
than documented above.
REVERSE ENGINEERING –THE GENERIC
PROCESS
The generic process of reverse engineering is a three-
phase process as depicted in Figure below. The three
phases are scanning, point processing, and
application specific geometric model development.
Figure: Reverse engineering – the generic process
Reverse engineering strategy must consider the
following:
• Reason for reverse engineering a part
• Number of parts to be scanned–single or multiple
• Part size–large or small
• Part complexity–simple or complex

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• Part material–hard or soft
• Part finish–shiny or dull
• Part geometry–organic or prismatic and internal or
external
• Accuracy required–linear or volumetric
Phase 1– Scanning
This phase is involved with the scanning strategy–
selecting the correct scanning technique, preparing
the part to be scanned, and performing the actual
scanning to capture information that describes all
geometric features of the part such as steps, slots,
pockets, and holes. Three-dimensional scanners are
employed to scan the part geometry, producing
clouds of points, which define the surface geometry.
These scanning devices are available as dedicated
tools or as add-ons to the existing computer
numerically controlled (CNC) machine tools. There
are two distinct types of scanners, contact and
noncontact.
a. Contact Scanners
These devices employ contact probes that
automatically follow the contours of a physical
surface .In the current market place, contact probe.
Figure: Contact scanning touch probe.
b. Noncontact Scanners
Figure: Optical scanning device.
A variety of noncontact scanning technologies
available on the market capture data with no physical
part contact. Noncontact devices use lasers, optics,
and charge-coupled device (CCD) sensors to capture
point data, as shown in Figure
Figure: Vertical faces–touch probe versus a laser.
Phase 2–Point Processing
This phase involves importing the point cloud data,
reducing the noise in the data collected, and reducing
the number of points. These tasks are performed
using a range of predefined filters. It is extremely
important that the users have very good
understanding of the filter algorithms so that they
know which filter is the most appropriate for each
task. This phase also allows us to merge multiple
scan data sets. Sometimes, it is necessary to take
multiple scans of the part to ensure that all required
features have been scanned. This involves rotating
the part; hence each scan datum becomes very
crucial. Multiple scan planning has direct impact on
the point processing phase. Good datum planning for
multiple scanning will reduce the effort required in
the point processing phase and also avoid
introduction of errors from merging multiple scan
data.
Phase 3–Application Geometric Model
Development
In the same way that developments in rapid
prototyping and tooling technologies are helping to
shorten dramatically the time taken to generate
physical representations from CAD models, current

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RE technologies are helping to reduce the time to
create electronic CAD models from existing physical
representations. The need to generate CAD
information from physical components will arise
frequently throughout any product introduction
process. The generation of CAD models from point
data is probably the most complex activity within RE
because potent surface fitting algorithms are required
to generate surfaces that accurately represent the
three-dimensional information described within the
point cloud data sets. Most CAD systems are not
designed to display and process large amounts of
point data; as a result new RE modules or discrete
software packages are generally needed for point
processing.
INTRODUCTION TO POWER
TRANSMISSION
Power transmission states that speed and torque
conversions from rotating power source to other
device. Here in our project we design and analysis
the intermediate shaft for stress and deflection, it is
necessary to know the applied forces. If the forces are
transmitted through gears, it is necessary to know the
gear specifications in order to determine the forces
that will be transmitted to the shaft. But stock gears
come with certain bore sizes, requiring knowledge of
the necessary shaft diameter.
Figure: compound reverted gear train.
This project will focus on an overview of a power
transmission system design, demonstrating how to
incorporate the details of each component into an
overall design process.
TYPES OF POWER TRANSMISSION
SYSTEMS
Transmissions types include
Manual Transmission
Automatic Transmission
Semi-automatic transmission
Power Transmission Devices
Mechanical power can be transmitted across large
distances in a variety of ways. Shafts transfer motion
from point to point along their axis of motion. Shafts
can be connected to each other by the following ways
Gear Drive
Chain Drive
Belt Drive
Gear Drive
Gear drive is a mechanism consisting of toothed
wheels that engage and transmit rotary motion,
usually transforming angular velocity and torques.
Gear drives are the most practical and wide spread
type of mechanical transmission. They are used to
transmit power— from negligibly small values to
tens of thousands of kilowatts-and to transmit
circumferential forces of fractions of a gram to 10
mega Newton’s (1,000 tons force).
Figure: gear drive
Gear drive with spur gears: (a) straight cut,
(b)helical,(c)herring bone,
(d) bevel,(e) with spiral teeth, (f) with internal
gearing.
The main advantages of gear drives are their
significantly smaller dimensions, high efficiency
(losses in precision-made, well-lubricated drives are

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1-2 percent, and, under especially favorable
conditions, 0.5 percent), longer life and greater
dependability, lack of slippage, and small shaft loads.
The disadvantages of gear drives include noisy
operation and the need for precision manufacture.
Gear drives are classified according to the
relationship of the axes to the drives.
Gears
Gear is a part, as a disk, wheel, or section of a shaft,
having cut teeth of such form, size and spacing that
they mesh with teeth in another part to transmit or
receive force and motion
The gears in a transmission are analogous to the
wheels in a pulley. An advantage of gears is that the
teeth of a gear prevent slipping.
Gears are the most common means used for power
transmission
They can be applied between two shafts which are
Parallel Collinear
Perpendicular and intersecting
Perpendicular and nonintersecting
Inclined at any arbitrary angle
Classification of gears
Figure: classification of gears
Spur Gears
General: Spur gears are the most commonly used
gear type. They are characterized by teeth which are
perpendicular to the face of the gear. Spur gears are
by far the most commonly available, and are
generally the least expensive. The basic descriptive
geometry for a spur gear is shown in the figure
below.
Limitations: Spur gears generally cannot be used
when a direction change between the two shafts is
required.
Advantages: Spur gears are easy to find, inexpensive,
and efficient.
Figure: spur gear
METHODOLOGY USED FOR CASE STUDY
OF GEAR
A case study of Gear is done for the purpose of
obtaining point cloud data which was exported into
associate nursing .stl format of the CAD program.
The best method to approximate a 3D geometrical
model is by approximating it with lots of triangular
aspects.
A. THE TYPICAL REVERSE ENGINEERING
PROCESS CAN BE SUMMARIZED IN
FOLLOWING STEPS
1. Physical model which needs to be redesigned or to
be used as the base for new product.
2. Scanning the physical model to get the point
cloud. The scanning can be done using various
scanners available in the market.
3. Processing the points cloud includes merging of
points cloud if the part is scanned in several settings.
The outlines and noise is eliminated. If too many
points are collected then sampling of the points
should be possible.
4. To create the polygon model and prepare .stl files
for rapid prototyping.

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5. To prepare the surface model to be sent to
CAD/CAM packages for analysis.
6. Tool path generation with CAM package for
suitable CNC machine manufacturing of final part on
the CNC machine.
In this thesis we are producing the Gear C of shaft 2nd
of Hero bike.The below shown figures are the Gear C
of 29 teeth.
Figure: front view of Gear which has to be produced
Figure: side view of Gear which has to be produced
Figure: Back view of Gear which has to be produced
Figure: Isometric view of Gear
The Gear has been scanned in a Roland Model lpx-
600 laser scanner.
The Roland Model lpx-600 laser scanner is a medium
sized scanner used to scan object of maximum height
of around 150 mm and diameter of 120 mm. It
operates with interface of computer with software Dr.
Picza which helps in setting up the scanning
parameters and also shows the scanning process. It
stores the scanned file in .stl format. The scanner is
shown in fig.
Figure: Roland Model LPX-600 Laser Scanner
Once the scanned image of object is obtained using
scanner it is exported into .stl format shown in fig..
The parameter set in the above software decides the
quality of scanned image. As the time for scanning
increases the quality of scanned image improves.
Figure: Stl Image File of Scanned Component
B. OBTAINING THE SOLID GEOMETRY
FROM THE POINT CLOUD DATA
The original .stl data is scattered and contains some
noise around the boundary of model. The noise
creates a problem while generating a solid model so it
has to be cleaned from the data. Solidworks software
has Scan to 3D option which help to point out the
noise from the data and with the help of noise

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reduction tool the noise is reduced. Then we get a
clean .stl data which can be used for further
processing
INTRODUCTION TO SOLIDWORKS
Solid works mechanical design automation software
is a feature-based, parametric solid modeling design
tool which advantage of the easy to learn windows TM
graphical user interface. We can create fully associate
3-D solid models with or without while utilizing
automatic or user defined relations to capture design
intent.
SOLIDWORKS SCAN TO 3D
Using the SolidWorks software’s ScanTo3D
functionality, you can open scan data from any
scanner (mesh or point cloud files) or curve data from
mathematics software, prepare the data, then convert
it into a surface or solid model.
ScanTo3D significantly reduces the time required to
build complex 3D models from non-digital data.
Designers can use ScanTo3D for various purposes:
Medical designers - Create anatomical
objects for reference.
Figure: Example of a solid created from scanned data
of a hand, using the Surface Wizard's Automatic
creation.
Consumer product designers - Create quick
representations of physical components
made from clay, foam, etc.
Machine designers - Create quick references
to OEM parts.
Figure: Scan to 3D overview
Two Methods for Converting Scan Data to a
Solid Model.
Semi-manual Creation: Direct Mesh
Referencing
Direct mesh referencing is useful for very
complex surfaces, such as consumer products.
Semi-automated Creation Using Wizards
The Mesh Prep and Surface Wizards guide you
through the ScanTo3D process
Exporting files:
After you import a mesh or cloud point file into a
SolidWorks document using ScanTo3D, We export
the document as another file type that contains the
mesh or cloud point data.
1. Click File > Save As.
2. Select a file format in Save as type:
ScanTo3D (*.xyz)
ScanTo3D (*.wrl).
ScanTo3D (*.stl).
ScanTo3D (*.3ds)
ScanTo3D (*.iges)
The scanned file is imported in solidworks software
which helps to extract geometry from the .stl file or
point cloud data shown in figure below to Solid
geometry.

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Figure: .Stl file imported to solidworks Scan to 3D
By using Mesh preparation wizard meshing of the
.Stl file is done.
Increasing the global smoothness then entering into
surface wizard manager for adjusting surface
resolution.
Figure: surface failure areas
Figure: individual sub meshes are identified
Now all the surface are extracted as shown below
Figure: surfaces extraction
Figure: model is completed with extra surfaces
Finally the base model is complete by using Trim,
knit, fillets and chamfer options for generating solid
model. The file is saved in .STL format.
Figure: Final model after trimming the surfaces
Figure: Four views of the Gear
The drawings are generated for the Gear model and
the following dimensions are obtained.

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Figure: Isometric view of the Gear model
Figure: Three views of the gear
Figure: Back view of the gear
INTRODUCTION TO SOLIDWORKS
SIMULATION
SolidWorks® Simulation is a design analysis system
fully integrated with SolidWorks. SolidWorks
Simulation provides simulation solutions for linear
and nonlinear static, frequency, buckling, thermal,
fatigue, pressure vessel, drop test, linear and
nonlinear dynamic, and optimization analyses.
Static Analysis
When loads are applied to a body, the body deforms
and the effect of loads is transmitted throughout the
body. The external loads induce internal forces and
reactions to render the body into a state of
equilibrium. Linear Static analysis calculates
displacements, strains, stresses, and reaction forces
under the effect of applied loads.
STRUCTURAL ANALYSIS OF GEAR
Gear analysis can be performed using analytical
methods which required a number of assumption and
simplifications which aim at getting the maximum
stress values only but
gear analyses are multidisciplinary including
calculations related to the tooth stresses .In this work,
an attempt will been made to analyze bending stress
to resist bending of helical gears, as both affect
transmission error. Due to the progress of computer
technology many researchers tended to use numerical
Methods to develop theoretical models to calculate
the effect of whatever is studied. numerical methods
are capable of providing more truthful solution since
they require very lessrestrictive assumptions. Finally
the results obtained by theoretical analysis, AGMA
calculations and finite element analysis are compared
to check the correctness.
This procedure is based on the principle of
differential geometry that pertains to envelopes of
curves and surfaces.
The above equation is lewis bending equation to
calculate bending stresses developed in gears.

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Where
RESULTS OF MAXIMUM BENDING STRESS
FROM LEWIS EQUATION FOR
GEAR1
Material properties
Loads and Fixtures
Mesh Information
Study Results for face width 8.5 mm
Stress
Deformation
Strain

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Factor of safety
A factor of safety less than 1 at a location indicates
that the material at that location has failed.A factor of
safety of 1 at a location indicates that the material at
that location has just started to fail. A factor of safety
greater than 1 at a location indicates that the material
at that location is safe.
So our design is safe for given loading condition.
Study Results for face width 10.5 mm
Stress
Deformation
Strain
Factor of safety
Study Results for Face Width 12.5mm Stress
Deformation
Strain
Factor of safety

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Study Results for Face Width 14.5mm Stress
Deformation
Strain
Factor of safety
RESULTS AND DISCUSSIONS
The structural stress analysis of the gear tooth model
is carry out using the FEA in Solidworks simulation.
The load applied at the tooth of the gear .by applying
the analysis over the tooth which is facing the load
we get the stress distribution in the numeric as well
as in the form of the color scheme. By varying the
face width and keeping the other parameters constant
various models of the gear are created. For
determining at any stage during the design of the gear
face width is an important parameter. The results of
the variation in face width from (8.5 mm to 14.5mm
)there is continuous decrement in the value of the
stress of the tooth of the gear stress. Results of
theoretical and static analysis are closer, therefore
the design are accepted. As it is seen clearly from all
tables and graphs the maximum bending stress values
are increase with the decrease of face width. In this
work we got on two results as follow
_ Theoretical results (from Lewis equation directly)
_ Static analysis results
And all results are closer as shown in graphs.
Effect of face width:
The effect face width on maximum bending stress is
study by varying the face width for five
Values which are (b=8.5mm, 10.5mm, 12.5mm,
14.5mm) the magnitude of the stresses obtained for
those face widths are displayed.
Comparison of theoretical stress values and solid
works values
Table: comparison of bending stresses (theoretical
and software)
INTRODUCTION TO RAPID PROTOTYPING
Rapid Prototyping (RP) can be defined as a
group of techniques used to quickly fabricate a scale

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model of a part or assembly using three-dimensional
computer aided design (CAD) data. What is
commonly considered to be the first RP technique,
Stereo-lithography, was developed by 3D Systems of
Valencia, CA, USA. The company was founded in
1986, and since then, a number of different RP
techniques have become available.
Why Rapid Prototyping?
The reasons of Rapid Prototyping are
• To increase effective communication.
• To decrease development time.
• To decrease costly mistakes.
• To minimize sustaining engineering changes
• To extend product lifetime by adding
necessary features and eliminating redundant features
early in the design.
Rapid Prototyping decreases development time by
allowing corrections to a product to be made early in
the process. By giving engineering, manufacturing,
marketing, and purchasing a look at the product early
in the design process, mistakes can be corrected and
changes can be made while they are still inexpensive.
The trends in manufacturing industries continue to
emphasize the following:
• Increasing number of variants of products.
• Increasing product complexity.
• Decreasing product lifetime before
obsolescence.
• Decreasing delivery time.
Methodology of Rapid Prototyping
The basic methodology for all current rapid
prototyping techniques can be summarized as
follows:
1. A CAD model is constructed, and then
converted to STL format. The resolution can
be set to minimize stair stepping.
2. The RP machine processes the .STL file by
creating sliced layers of the model.
3. The first layer of the physical model is
created. The model is then lowered by the
thickness of the next layer, and the process
is repeated until completion of the model.
4. The model and any supports are removed.
The surface of the model is then finished
and cleaned
Some of the methods of rapid prototyping are
STEREO-LITHOGRAPHY
LAMINATED OBJECT MANUFACTURING
FUSED DEPOSITION MODELING
SELECTIVE LASER SINTERING
SELECTIVE LASER SINTERING
A laser beam is traced over the surface of a tightly
compacted powder made of thermoplastic material
(A). The powder is spread by a roller (B) over the
surface of a build cylinder (C). A piston (D) moves
down one object layer thickness to accommodate the
layer of powder
The power supply system (E) is similar in function to
the build cylinder. It also comprises a cylinder and
piston. The piston moves upward incrementally to
supply powder for the process.
Heat from the laser melts the powder where it strikes
under guidance of the scanner system (F). The CO2
laser used provides a concentrated infrared heating
beam. The entire fabrication chamber is sealed and
maintained at a temperature just below the melting
point of the plastic powder. Thus, heat from the laser
need only elevate the temperature slightly to cause
sintering, greatly speeding the process. A nitrogen
atmosphere is also maintained in the fabrication
chamber which prevents the possibility of explosion
in the handling of large quantities of powder

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After the object is fully formed, the piston is raised to
elevate the object. Excess powder is simply brushed
away and final manual finishing may be carried out.
It may take a considerable time before the part cools
down enough to be removed from the machine. Large
parts with thin sections may require as much as two
days of cooling time
Figure: Selective Laser Sintering
Figure: Selective Laser Sintering Machine (RPT
Systems)
PROTOTYPING OF THE GEAR USING
SELECTIVE LASER SINTERING –
RAPIDPROTOYPING SYSTEM
FORMIGA P 100 - small, fast, efficient, e-
Manufacturing in the Compact Class Plastic laser-
sintering system for the direct manufacture of series,
spare parts and functional prototypes
The FORMIGA P 100 represents laser-sintering in
the compact class. With a build envelope of 200 mm
x 250 mm x 330 mm, the FORMIGA P 100 produces
plastic products from polyamide or polystyrene
within a few hours and directly from CAD data. The
machine is ideally suited for the economic production
of small series and individualized products with
complex geometry – requirements which apply
among others to the medical device industry as well
as for high-value consumer goods. At the same time,
it provides capacity for the quick and flexible
production of fully functional prototypes and patterns
for plaster, investment and vacuum casting. With
turnover times of less than 24 hours the FORMIGA P
100 integrates itself perfectly in a production
environment that requires the highest level of
flexibility. The system distinguishes itself also by
comparatively low investment costs.
Technical Specifications:
Technical Data
Table No – 1
Dimensions
Table No – 2

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Data preparation
Table No – 3
CONCLUSIONS
In theory of Gear, we are considering that
the load is acting at one point and the stress
is calculated. The calculation of maximum
stresses in a gear at tooth root is three
dimensional problems. The accurate
evaluation of stress state is complex task.
The contribution of this thesis work can be
summarized as follows:
The strength of gear tooth is a crucial
parameter to prevent failure. In this work, it
is shown that the effective method to
estimate the root bending stress using three
dimensional model of a gear and to verify
the accuracy of this method the results with
different face width of teeth are compared
with theoretical values.
The face width is an important geometrical
parameter in design of gear as it is
expected in this work the maximum
bending stress decreases with increasing
face width.
REFERENCES
[1]. Cheng, Y., And Tasy C.B., Stress Analysis Of
Helical Gear Set With Localized Bearing
Contact, Finite Element In Analysis And Design,
38,Pp. 707-723, 2002
[2]. Vijayarangan, s., and Ganesan, n., a static
analysis of composite helical gears using three
dimensional finite element method, computers &
structures, 49,pp.253-268,1993.
[3]. Huston, R.L., Mavriplis, D., Oswald, B.F., and
Liu Y.S., A Basis for Solid Modeling of Gear Teeth
With Application In Design And Manufacturing,
NASA Technical Memorandum
105392, 1992.
[4]. Zhang, J.J., East, I.I., Shi, And Y.H., Load
Analysis with Varying Mesh Stiffness, Computer
And Structures, 70, pp.273-280, 1999
[5]. Zhang, Y., And Fang. Z, Analysis Of Teeth
Contact and Load Distribution of Helical Gears With
Crossed Axes, Mechanism And Machine Theory,
34,Pp.41-57, 1999.
[6]. Litvin, L.F., Fuentes, A., Perez, I.G., And Sep ,
T.M., New Version Of Nivikon-Wildhaber
Helical Gears: "Computerized Design, Simulation Of
Meshing And Stress Analysis",
Computational Methods In Applied Mechanics And
Engineering, 191,Pp.5707-5740, 2002.
[7]. Hedlund, J., And Lethovaara, A., Modeling Of
Helical Gear Contact With Tooth Defection,Tampere
University Of Technology, Machine Design, P.O.
Box 589,33101 Tampere, Finland.
[8]. Vera, N.S., And Ivan, C., The Analysis Of
Contact Stress on Meshed Teeth_S Flanks Along The
Path Of Contact For A Tooth Pair, Mechanics
Automatic Control and Robotics, 3,
Pp, 1055-1066, 2003.
[9]. Pushpendra Kumar Mishra, Dr. M. S. Murthy",
Comparison of Bending Stresses for Different Face
Width of Helical Gear Obtained pp45-51, 2013.
[10]. Ajeet Kumar Rai and Mustafa S Mahdi, “A
Practical Approach to Design and Optimization of
Single Phase Liquid to Liquid Shell and Tube Heat
Exchanger”, International Journal of Mechanical
Engineering & Technology (IJMET), Volume 3,
Issue 3, 2012, pp. 378 - 386, ISSN Print: 0976 –
6340, ISSN Online: 0976 – 6359.