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1、SubmittedforpresentationatThe14thAIAAGossamerSpacecraftForumThe54rdStructures,StructuralDynamics,andMaterialsConference(SDM)Offset-feedSurfaceMeshGenerationforDesignofSpaceDeployableMeshReflectors12HangShiandBingenYangUniversityofSouthernCalifornia,LosAng
2、eles,California,90089-14533HoufeiFangShanghaiYSInformationTechnologyCo.,Ltd.,Shanghai200240,ChinaSurfacemeshgeometryiscruciallyimportanttotheperformanceofdeployablemeshreflectors.Thispaperpresentsnewresultsfromacontinuedresearchefforttodesignthepseudo-geo
3、desicmeshgeometryforoffset-feedparabolicmeshreflectorsandtofulfilltheoperatingfrequencyrequirementsinrelatedapplications.Theproposedmethodisappliedtotwooffsetparabolicreflectorexamples.Thegeometriessogeneratedsatisfythesurfaceaccuracyandofferstheexactpres
4、entationofdesiredworkingshapeatitsbest-fitsurface.Additionally,acomparativediscussionshowsthatthedesignresultsbytheproposedmethodalwayshavethesimplestmeshtopology,theminimumtotallength,andcompetitivesurfaceRMSerrors.I.IntroductionROPERdesignofsurfacegeome
5、triesofdeployablemeshreflectorsiscruciallyimportanttotheperformanceof1-3Psuchspacedeployablestructures,andthushascontinuouslyattractedresearchanddevelopmenteffortsinthe4-6past.Ameshreflectorsurface,whichnormallyhassphericalorparabolicshapeasrequiredbyarad
6、io-frequency(RF)surface,isapproximatedbyatensionednetwork(mesh)offacetsthataretriangleinmostapplicationsofdeployablemeshreflectors.Manyresultsondesignofsurfacegeometriesfordeployablemeshreflectorshavebeenreportedintheliterature.1In1979,Nayfeh,etal.perform
7、edtheearlyworkonsurfacegeometrydesignformeshreflectors,thetopologyofwhichisthenwidelyusedlaterinthedevelopmentofthesurfacegeometry.Previousresearchesintroducedtheforce7densitymethodintothegeometrygeneration.Tibertusedaforcedensityapproximationtodrawsthefa
8、cetgeometryontheXYplanewithminimumelementlengthconfigurationbeforetheverticalprojection.Morterolle,et8al.adaptedasimilarforcedensityapproachtoemphasistheuniformelementtensionsandverticallyprojectedXYplanegeometrieso