MSC/Nastran, AEH/Ivory and the Mechanical … · 93994Charts13.pmd, page 1 AEH. Optomechanical...

93994Charts13.pmd, page 1

AEH.Optomechanical Engineering

MSC/Nastran,AEH/Ivory

and theMechanical Engineering of Optical Systems.

Alson E. Hatheway, Alson E. Hatheway Inc.419 South Meridith Avenue, Pasadena, CA 91106

v & f: 626/791-2243, e: [email protected]://www.aehinc.com



Mechanical design of optical systems is a nearly unique activity.Engineering decisions are often made before there is an engineering basisfor making them. The mechanical engineer has scant resources for relatingthe optics to the mechanics of the system.

Optical performance is numbers-driven: allowable deflections are of theorder of microns of image motion and microradians of line-of-sight (LOS)rotation. Since the image and LOS are controlled by the position andorientation of all the optical elements it follows that the image and LOS arecontrolled by the stiffness of the optical elements’ supporting structure.

However, by the time a structural engineer gets to look at the mechanicaldesign the structural resources have often been largely dedicated. Thesystem’s design has then been completed without investigating the opticaldependence on stiffness.

Prologue



Optical professionals point out that optical design is a non-linear art. Theyassume that to evaluate the optical influences of mechanical deflections theproblem must be imported into an optical design code.

I point out that the deflections permitted by the optical tolerances are verysmall. In this optical small displacement domain the optical imaging lawsare arguably more linear than than those of solid mechanics. If a linearsolution to the solid mechanics problem is adequate then a linear solution tothe optomechanical imaging problem is adequate as well.

Therefore, the optical adequacy of an optomechanical design may beevaluated in a single suitable linear analysis code, such as MSC/Nastran. Itis not necessary to move the analysis into a non-linear optical design code.

AEH has developed engineering tools for use by optomechanical engineersearly in a project, before structural resources are fully dedicated. Thesetools rely on the unique properties of MSC/Nastran.



In a well corrected optical design the quality of the optical performancedepends primarily of the proper registration (position, orientation and size)of the first order (Gaussian) image on the detector.

The Ivory Optomechanical Modeling Tools (AEH/Ivory) imports theoptical prescription directly into MSC/Nastran or Patran, traces all theimages through the system and reports the (static or dynamic) motions of thefinal image on the detector. These results are reported in both the *.f06 and*.xdb output files.

Ivory works in the very simplest of early structural models (lumped mass,beam and shell elements) as well as the largest models of a more maturedesign (meshed and joined tetrahedral models from CAD solids).Consequently, Ivory provides the project a continuous and traceable recordof the adequacy of the structural stiffness supporting the optical system.



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Design checksTrade studies

Verification

Safety Checks

ConceptDefinition

PreliminaryDesign

DetailDesign

DrawingPreparation

Test

Service

Manufacture

. . . . .OpticalPrescription

Stiffness isdeveloped here.

(Stiffness vs. optics vs.servo vs. thermal vs. . . . )

Phases of an optical development project

OptomechanicalEngineeringActivities

The optomechanical engineer’s jobis to survey the mechanical designspace looking for optical problems.



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Verification

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ConceptDefinition

PreliminaryDesign

DetailDesign

DrawingPreparation

Test

Service

Manufacture


MSC/Nastran(& Patran)

Where’s the Optics?

(Stiffness)



MEBurnRatek$/mo

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Verification

Safety Checks

ConceptDefinition

PreliminaryDesign

DetailDesign

DrawingPreparation

Test

Service

Manufacture



AEH/Ivory Optomechanical Modeling Tools

(Stiffness and optics)

AEH/Ivory

Ivory converts the physicaloptical prescription into anMSC/Nastran model of the opticsand their images.



Examples: A Hyper-spectral Imager...

Surf Elem Radius Index Thickness Type f1 f2 f3 f4 1 obj inf AIR inf obj 1 0 2 1 -300 GE 2 LENS 3 1 300 AIR 5.3566 LENS 4 2 110 GE 3.45 LENS 5 2 55 AIR 17.775 LENS 6 3 310 GE 2 LENS 7 3 -215 AIR 3.894439 LENS. SLIT AT IMAGE OF LENS 3 8 4 inf AIR 5 MIRR -45 9 5 -11 GE 1.5 LENS 10 5 -22 AIR 3 LENS. DIFFRACTION GRATING 11 6 inf AIR 3 MIRR -55.187 90 .25 12 7 -150 GE 1 LENS 13 7 150 AIR 2.6783 LENS 14 8 55 GE 1.775 LENS 15 8 27.5 AIR 4 LENS 16 9 inf AIR 6.039872 MIRR 45. 17 det inf AIR 0.0 det

1 2

34

5 (hidden)

6 (hidden)7, 8

10 (det)

slit

Feed the optical prescription into AEH/Ivoryto get the MSC/Nastran optical model.

9

1

2

3

4

5

6 (grating)

78

9

10 (det)

slit




PhysicalPrescriptionData

Project Files

Ivory

OptomechanicalConstraintEquations

Output File Nastran File

NastranMicrosoftExcel

LonghandCalculations

All of the influencecoefficients between theimage and all of theelements in the system

Element Displacements

ElementDisplacements

Rigid mechanisms, toler-ances and disturbancesfrom FE model or longhandcalculations

Elastic and thermo-elastic disturbances



$ ELEMENT 8$ FIRST PRINCIPAL POINTGRID 8 19 0. 0. 4.9290388$ ELEMENT COORDINATE SYSTEMCORD2R 8 19 0. 0. 4.9290380. 0. 5.929038 1. 0. 4.929038$ INCIDENT OPTICAL AXIS COORDINATE SYSTEMCORD2R 18 19 0. 0. 4.9290380. 0. 5.929038 1. 0. 4.929038

$ ELEMENT 7$ FIRST PRINCIPAL POINTGRID 7 18 0. 0. 4.39903 7$ ELEMENT COORDINATE SYSTEMCORD2R 7 18 0. 0. 4.39903 0. 0. 5.39903 1. 0. 4.39903$ INCIDENT OPTICAL AXIS COORDINATE SYSTEMCORD2R 17 18 0. 0. 4.39903 0. 0. 5.39903 1. 0. 4.39903

$ ELEMENT 6$ FIRST PRINCIPAL POINTGRID 6 17 0. 0. 3.1252326$ ELEMENT COORDINATE SYSTEMCORD2R 6 17 0. 0. 3.1252320. .57101972.304296 -1. 0. 3.125232$ INCIDENT OPTICAL AXIS COORDINATE SYSTEMCORD2R 16 17 0. 0. 3.1252320. 1. 3.125378 -1. 0. 3.125232

$ ELEMENT 5$ FIRST PRINCIPAL POINTGRID 5 16 0. 0. 4.8399785$ ELEMENT COORDINATE SYSTEMCORD2R 5 16 0. 0. 4.8399780. 0. 5.839978 6.134-171. 4.839978$ INCIDENT OPTICAL AXIS COORDINATE SYSTEMCORD2R 15 16 0. 0. 4.8399780. 0. 5.839978 6.134-171. 4.839978

$ ELEMENT 4$ FIRST PRINCIPAL POINTGRID 4 15 0. 0. 4.6600224$ ELEMENT COORDINATE SYSTEMCORD2R 4 15 0. 0. 4.6600220. .70710683.952915 -1. 0. 4.660022$ INCIDENT OPTICAL AXIS COORDINATE SYSTEMCORD2R 14 15 0. 0. 4.6600220. 1. 4.660022 -1. 0. 4.660022


$ ELEMENT 2$ FIRST PRINCIPAL POINTGRID 2 13 0. 0. 19.8728 2$ ELEMENT COORDINATE SYSTEMCORD2R 2 13 0. 0. 19.8728 0. 0. 20.8728 1. 0. 19.8728$ INCIDENT OPTICAL AXIS COORDINATE SYSTEMCORD2R 12 13 0. 0. 19.8728 0. 0. 20.8728 1. 0. 19.8728


$ OBJECT AT INFINITY AND NOT MODELED

$ MODEL PREPARED BY IVORY(TM) OPTOMECHANICAL MODELING TOOLS$ Version I25B5PB22$ FOR Alson E. Hatheway Inc.$ PROJECT NAME: '3'$ 07-03-2013 15:05:11$ ALSON E. HATHEWAY INC., http://www.aehinc.com

ENDDATA

BEGIN BULK

$ THE FOLLOWING GRID POINTS/DOFS HAVE BEEN ASSIGNED:$ 1 THRU 9 /123456 ARE ASSIGNED TO THE OPTICAL ELEMENTS IN ASCENDING ORDER.$ 10 /123456 ARE ASSIGNED TO THE SYSTEM DETECTOR.$ 11 /123456 ARE ASSIGNED TO THE SYSTEM OBJECT.$ 12 /123456 ARE ASSIGNED TO THE REGISTRATION VARIABLES TX, TY, TZ, RX, RY, RZ.$ 13 /1 IS ASSIGNED TO THE REGISTRATION VARIABLE DM/M.

GRID 12 0. 0. 0.GRID 13 0. 0. 0.

MPC 1000 12 1 -1. 1 1 4.896-17 1 2 .79963561 4 1.198712 1 5 -7.34-172 1 5.993-17 2 2 .97881182 4 4.67162 2 5 -2.86-163 1 -5.19-18 3 2 -.08482 3 4 2.543402 3 5 -1.56-164 3 2.39515 4 4 6.7304924 5 -2.91-16 5 1 1.037-165 2 -1.69363 5 4 -1.758-75 5 -1.08-23 6 5 18.483527 1 -.449567 7 5 .33696658 1 -.550433 8 5 1.3520199 5 -8.54167 10 1 -1.

MPC 1000 12 2 -1. 1 1 .7996356 1 2 -4.9-17 1 4 -7.34-17 1 5 -1.198712 1 .9788118 2 2 -5.99-172 4 -2.86-16 2 5 -4.671623 1 -.08482 3 2 5.194-183 4 -1.56-16 3 5 -2.5434 4 3 -1.47-16 4 4 -4.12-164 5 -4.75918 5 1 1.6936275 2 1.037-16 5 4 1.077-235 5 -1.758-7 6 3 1.7311-76 4 -22.5152 7 2 .44956667 4 .3369665 8 2 .55043328 4 1.352019 9 3 -1.414219 4 -12.0798 10 2 -1.

MPC 1000 12 3 -1. 1 3 .6394171 2 3 2.5234583 3 -.294503 4 3 -4.056495 3 -2.86837 6 3 -3.77-147 3 .2021103 8 3 .79788979 3 -1.41421 10 3 -1.

MPC 1000 12 4 -1. 1 4 -4.9-17 1 5 -.7996362 4 -5.99-17 2 5 -.9788123 4 5.194-18 3 5 .08482 4 4 2.074-16 4 5 2.39515 5 4 1.037-16 5 5 -1.693636 4 -3.032-7 7 4 .44956668 4 .5504332 9 4 -2. 10 4 -1.

MPC 1000 12 5 -1. 1 4 -.799636 1 5 4.896-172 4 -.978812 2 5 5.993-173 4 .08482 3 5 -5.19-184 4 3.387254 4 5 -1.47-165 4 1.693627 5 5 1.037-166 5 -2.489-7 7 5 -.4495678 5 -.550433 9 5 1.41421410 5 -1.

MPC 1000 12 6 -1. 4 5 1.414214 6 5 -1.142049 5 -1.41421 10 6 -1.

MPC 1000 13 1 -1. 1 3 -3.632-2 2 3 -.2069073 3 4.5235-2 4 3 .280004 5 3 .1979928 6 3 -2.211-87 3 2.5731-2 8 3 -2.573-2

SPC 1000 13 23456

$ DETECTOR$ PRINCIPAL POINTGRID 10 10 0. 0. 0. 10$ DETECTOR COORDINATE SYSTEMCORD2R 10 0 0. 0. 0. 0. 0. 1. 1. 0. 0.$ INCIDENT OPTICAL AXIS COORDINATE SYSTEMCORD2R 20 0 0. 0. 0. 0. 0. 1. 1. 0. 0.

$ ELEMENT 9$ FIRST PRINCIPAL POINTGRID 9 20 0. 0. 6.0398729$ ELEMENT COORDINATE SYSTEMCORD2R 9 20 0. 0. 6.0398720. -.7071075.332765 -1. 0. 6.039872$ INCIDENT OPTICAL AXIS COORDINATE SYSTEMCORD2R 19 20 0. 0. 6.0398720. -1. 6.039872 -1. 0. 6.039872

The Spectrometer’s Nastran Image ModelImage motion calculations

Optical elements,path geometry andcoordinate systems

Txi

Tyi

Tzi

Rxi

Ryi

Rzi

∆∆∆∆∆M/M



12

3

4

5

67

8

9

10 (det)

1

2

3

4

5

67

8

9

Optical elements and theirinfluences on the image at thedetector

Lumped massesand bar elements

(26.1 µµµµµr, rms)

structuralelementsadded tosupport theopticalelements

opticalelementGRIDpoints

Initial MSC/Nastran model

Initial AEH/Ivory model

CAD model of the optical elements

The Optomechanical Constraint Equationsin Patran & Nastran



Day 1 with the model

Proposal CAD conceptRevised MSC/Nastran model

Beam elements simulatethe structure.

AEH/Ivory’s influence coefficientsdrive the image motions.

Properties:A Ix Iy J

Beams:1 18.8 1357. 1357. 2714.2 11.0 269.4 269.4 538.83-5 12.25 306.5 306.5 613.06-7 9.3 221.1 221.1 442.28-9 12.25 306.5 306.5 613.0

2

4

69

Deleted lumped massesand added meshed CADoptical elements.



Day 2 with the model

D I S P L A C E M E N T V E C T O R

POINT ID. TYPE T1 T2 T3 R1 R2 R3 1 G 2.327093E-06 9.178396E-21 5.535493E-20 -2.921602E-21 3.803392E-07 7.633202E-13 2 G 0.0 0.0 0.0 0.0 0.0 0.0 3 G 2.509973E-04 -8.738037E-17 -2.337877E-19 -6.425895E-18 -1.515107E-05 8.968151E-06 4 G 3.517247E-04 -9.156056E-17 9.217016E-17 -7.215085E-18 -3.217828E-06 1.904217E-05 5 G -4.173025E-04 3.768791E-17 -1.314328E-16 7.672918E-18 1.222768E-05 -1.574033E-05 6 G -7.715564E-17 -2.781644E-04 4.000322E-04 -1.252900E-05 -1.292324E-05 -8.986241E-06 7 G 4.919277E-05 3.915638E-05 -4.893335E-04 1.248319E-05 -1.574055E-05 -2.298124E-09 8 G 1.184362E-04 9.392919E-05 -4.914406E-04 1.241866E-05 -1.574066E-05 -2.298144E-09 9 G 1.960226E-04 4.576934E-04 -2.385420E-04 1.234639E-05 -1.112875E-05 -1.113200E-05 10 G -1.960365E-04 4.189387E-04 -1.549635E-04 -1.229657E-05 2.298155E-09 1.574072E-05 12 G -6.166477E-05 -5.311273E-04 1.297240E-06 -2.995413E-05 -1.106145E-10 1.020583E-05 13 G 5.371832E-08 0.0 0.0 0.0 0.0 0.0

DIRECTION MASS AXIS SYSTEM (S) MASS X-C.G. Y-C.G. Z-C.G. X 5.748771E+02 -3.307926E-17 -1.133045E+01 -1.833529E+00 Y 5.748771E+02 -2.187113E+01 9.788918E-17 -1.833529E+00 Z 5.748771E+02 -2.187113E+01 -1.133045E+01 -7.124335E-17

Mass = 574.9 lb

Maximum image motion = 5.34 E -4 in. (LOS ~13.4 µr)

Maximum structural deflection = 6.30 E -4 in. (f1 ~125 Hz).

Optical element motions

Image motions

From the Nastran *.f06 output file:

The X axis (in object space) load has the largest deflections.

Beam elements simulate structure.

3-axis static gravity analysis:



X Y Z

Rx, µr rms 15.3 9.7 5.5

Ry, µr rms 10.0 13.6 7.2

Net, µr rms 18.3 16.7 9.1

Day 3 with the Model

Random exciation in X, Y and Z axes = 0.67 gs rms

Random response analysis:

From the Nastran *.f06 output file:

f1 = 136.4 Hz

LOS responses to X, Y and Z axis vibrations

DISPLACEMENT CURVE ID = 13 COMPONENT = 6 WHOLEFRAME PRINT NUMBER X-VALUE (Hz) Y-VALUE (LOS Rxi) 1 2.000000E+01 -1.349694E-05 2 2.094257E+01 -1.352254E-05 3 2.192957E+01 -1.355078E-05 4 2.296307E+01 -1.358192E-05 5 2.404529E+01 -1.361629E-05 6 2.517851E+01 -1.365421E-05 7 2.636513E+01 -1.369608E-05 8 2.760769E+01 -1.374233E-05 9 2.890879E+01 -1.379346E-05 10 3.027122E+01 -1.385000E-05 11 3.169786E+01 -1.391259E-05 12 3.319174E+01 -1.398192E-05 13 3.475602E+01 -1.405881E-05 14 3.639402E+01 -1.414416E-05 15 3.810921E+01 -1.423903E-05 16 3.990525E+01 -1.434462E-05 17 4.178592E+01 -1.446232E-05 18 4.375523E+01 -1.459376E-05 19 4.581735E+01 -1.474081E-05 20 4.797665E+01 -1.490569E-05 21 5.023773E+01 -1.509100E-05 22 5.260536E+01 -1.529986E-05 23 5.508458E+01 -1.553599E-05 24 5.768063E+01 -1.580387E-05 25 6.039903E+01 -1.610900E-05 26 6.324555E+01 -1.645813E-05 27 6.622622E+01 -1.685969E-05 28 6.934737E+01 -1.732432E-05 29 7.261561E+01 -1.786568E-05 30 7.603787E+01 -1.850156E-05 31 7.962143E+01 -1.925562E-05 32 8.337387E+01 -2.016000E-05 33 8.730317E+01 -2.125951E-05 34 9.141764E+01 -2.261861E-05 35 9.572601E+01 -2.433341E-05 36 1.002374E+02 -2.655395E-05 37 1.049615E+02 -2.952793E-05 38 1.099082E+02 -3.369510E-05 39 1.150880E+02 -3.991474E-05 40 1.205119E+02 -5.009803E-05 41 1.261915E+02 -6.922643E-05 42 1.321387E+02 -1.056948E-04 43 1.383662E+02 4.712098E-05 44 1.448872E+02 4.622162E-05 45 1.517155E+02 6.432282E-05 46 1.588656E+02 3.989254E-05 47 1.663528E+02 2.758288E-05 48 1.741927E+02 2.042042E-05 49 1.824022E+02 1.574083E-05 50 1.909985E+02 1.243782E-05 ....



Day 4 - Review

Initial design:mass = ~574.9 lbstatic LOS = ~±13.6 µrf

n = ~136.4 Hz

random LOS = ~18.3 µr rms

Do these provide adequate margin?

Where can improvement be found?materialsthicknessesdiameters

Entirely different concept?

If the engineer is not able to find safe margins on the system performance metrics withsimple models such as the one developed here, it is unlikely that they’ll be found later,when the problems manifest themselves in the hardware.

Detectorcasting

Compoundelbowcasting

Objectivecasting



Lumped masses and bars26.1 µµµµµr, rms

Optical elements and beams (Day 4 Review)18.3 µµµµµr, rms

Meshed compound elbow21.5 µµµµµr, rms

Meshed detector joinedto compound elbow22.0 µµµµµr, rms

Meshed andjoined, All-up18.6 µµµµµr, rms

ChecktheStructuralConcept



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Verification

Safety Checks

ConceptDefinition

PreliminaryDesign

DetailDesign

DrawingPreparation

Test

Service

Manufacture



AEH/Ivory

(Stiffness vs. opticsvs. size vs. mass)


MSC/Nastranreports all ofthe numbers onthe opticalimage.



ConceptDefinition

PreliminaryDesign

DetailDesign

DrawingPreparation

Test

Service

Manufacture

. . . . .

...and a Proposed Sensor Suite

OpticalPrescription

MEBurnRatek$/mo

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Verification

Safety Checks

Imager

Laser Xmtr

LaserRcvr

Gyro

From theproposal



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Imager


(Stiffness and optics)

AEH/Ivory

Starting with the Imager...



Stabilize the Imager in 3-Axis Static Gravity

D I S P L A C E M E N T V E C T O R ( X G R A V I T Y )

POINT ID. TYPE T1 T2 T3 R1 R2 R3 2111 G -4.333262E-06 5.673855E-07 1.433095E-06 -8.206002E-07 1.924047E-07 -1.406347E-07 2112 G 1.878496E-06 1.269417E-06 -1.851963E-07 -1.527341E-06 1.449855E-07 1.090787E-06 2113 G 3.177888E-07 -2.239500E-06 2.080111E-06 -1.181467E-06 -1.045776E-06 -1.208584E-06 2114 G 1.831939E-06 -6.282287E-07 -1.729085E-07 -1.722303E-06 8.134225E-08 7.130288E-07 2115 G -4.261809E-06 1.340301E-06 -3.923907E-06 4.633262E-06 1.402503E-06 -1.721496E-07 2116 G 5.214161E-06 1.701173E-06 1.707830E-06 -4.267697E-06 1.212852E-06 6.507744E-07 2117 G -9.580793E-06 6.409356E-06 -1.120835E-06 1.893625E-06 2.339528E-06 -2.243364E-06 2118 G 2.768341E-06 1.608810E-06 -3.653708E-06 -1.485901E-06 3.266380E-06 -8.598251E-07 2119 G 8.764550E-07 7.264903E-07 -5.667206E-06 3.527969E-06 1.485459E-05 -2.659803E-07 2120 G -5.965882E-06 -2.960889E-06 -4.200431E-05 -4.589756E-05 4.858093E-05 -2.826104E-06 2121 G 3.153071E-05 -3.820510E-06 -7.823855E-06 2.826585E-06 -5.448769E-06 1.591755E-06 2123 G -8.292811E-05 7.612554E-06 -2.276996E-06 -6.163149E-06 3.098317E-05 -2.916905E-06 2124 G 4.204583E-06 0.0 0.0 0.0 0.0 0.0

1st TrialModel

14th TrialModel

Note: Focal length=16.68 inches

Initial Values



Stabilize the Suite in 3-Axis Static Gravity D I S P L A C E M E N T V E C T O R ( X G R A V I T Y )

POINT ID. TYPE T1 T2 T3 R1 R2 R3 2124 G 4.056844E-05 0.0 0.0 5.851008E-06 -1.103894E-06 0.0 3454 G 0.0 0.0 0.0 0.0 1.287777E-07 -1.336708E-07 10286 G 1.885340E-05 7.280877E-06 1.876988E-06 1.542009E-06 4.394471E-07 -5.254006E-06 21663 G -5.920674E-01 -8.027378E-02 -3.915012E+00 -1.019276E-06 7.517657E-06 0.0 21665 G 0.0 0.0 0.0 -2.561285E-06 7.078210E-06 0.0 21666 G 0.0 0.0 0.0 4.308999E-06 -1.543341E-06 0.0 21667 G 0.0 0.0 0.0 6.870284E-06 -8.621551E-06 0.0

D I S P L A C E M E N T V E C T O R ( Y G R A V I T Y )

POINT ID. TYPE T1 T2 T3 R1 R2 R3 2124 G -6.381926E-05 0.0 0.0 -3.775492E-06 3.562594E-06 0.0 3454 G 0.0 0.0 0.0 0.0 -6.629356E-10 -1.057327E-06 10286 G 1.194491E-05 3.208232E-05 1.210022E-06 -1.602568E-06 1.213423E-06 -8.743267E-06 21663 G -3.727667E-02 -7.611592E-02 -3.129728E+01 -9.664819E-07 4.733131E-07 0.0 21665 G 0.0 0.0 0.0 6.360858E-07 -7.401100E-07 0.0 21666 G 0.0 0.0 0.0 -2.172924E-06 2.349171E-06 0.0 21667 G 0.0 0.0 0.0 -2.809010E-06 3.089281E-06 0.0

D I S P L A C E M E N T V E C T O R ( Z G R A V I T Y )

POINT ID. TYPE T1 T2 T3 R1 R2 R3 2124 G -2.886976E-05 0.0 0.0 -3.036141E-06 6.944848E-06 0.0 3454 G 0.0 0.0 0.0 0.0 1.057485E-06 -4.698557E-10 10286 G 2.854246E-05 4.238918E-06 3.694515E-05 -3.561562E-07 1.500905E-05 -4.810248E-06 21663 G -4.362355E-01 6.051603E-03 -1.010807E+01 7.684023E-08 5.539012E-06 0.0 21665 G 0.0 0.0 0.0 4.329965E-07 -9.470039E-06 0.0 21666 G 0.0 0.0 0.0 -2.679984E-06 -8.064203E-06 0.0 21667 G 0.0 0.0 0.0 -3.112981E-06 1.405836E-06 0.0

Gravity loading vector: Tx Ty Tz

Net pointing errors (microradians):Imager (2124) 5.9 5.2 7.5Laser (21663) 7.6 0.5 5.5Gyroscope (10286) 1.6 2.0 15.0

Net bore sight errors (microradians):Laser minus Gyro (21665) 7.1 0.7 9.5Imager minus Gyro (21666) 4.6 3.2 8.5Imager minus Laser (21667) 11.0 4.2 3.4

Point ID Feature

2124 Imager3454 El Axis10286 Gyroscope21663 Laser Xmtr21665 Laser-Gyro21666 Imager-Gyro21667 Imager-Laser



Suite’s Dynamic Stability in 3-Axes

Vibration loading vector: Tx Ty Tz

Net pointing errors (rms microradians):Imager (2124) 6.4 5.5 8.9Laser (21663) 7.5 0.9 6.8Gyroscope (10286) 1.7 2.2 16.9

Net bore sight error (rms microradians):Laser minus gyro (21665) 7.7 1.4 10.1Imager minus gyro (21666) 4.9 3.4 9.1Imager minus laser (21667) 11.5 4.8 3.7



Elastic deflections in the ther-mal transient.

Laser/Imager bore sight errorsduring the transient usingIvory’s influence coefficients.

Suite’s Structural-thermal-optical Stability

Radiation, convection, conduction, elasticity and optics modeled.



ConceptDefinition

PreliminaryDesign

DetailDesign

DrawingPreparation

Test

Service

Manufacture

. . . . .

Proposal Verified

OMEBurnRatek$/mo

Calendar


Verification

Safety Checks

OpticalPrescription

ImagerLaser XmtrLaser RcvrGyroscope


AEH/Ivory

(Stiffness, thermal and optics)

MSC/Nastranreports all ofthe numbers onthe opticalimage.



ConceptDefinition

PreliminaryDesign

DetailDesign

DrawingPreparation

Test

Service

Manufacture

. . . . .

AEH/Ivory and MSC/Nastran -Optomechanical Tools

for the Entire Project

OMEBurnRatek$/mo

Calendar


Verification

Safety Checks

OpticalPrescription


AEH/Ivory



MSC/Nastran,AEH/Ivory

and theMechanical Engineering of Optical Systems.

Alson E. Hatheway, Alson E. Hatheway Inc.419 South Meridith Avenue, Pasadena, CA 91106

v & f: 626/791-2243, e: [email protected]//www.aehinc.com

Thank you

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