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1、AIAA-2000-4946ANINTEGRATEDAPPROACHFORTOPOLOGY,SIZINGANDSHAPEOPTIMIZATIONM.Zhou,N.Pagaldipti,H.L.ThomasandY.K.ShyyAltairEngineering,Inc.2445MacCabeWay,Suite100,IrvineCA92614zhou@altair.comOptiStruct[4]alsoappearedinthisfastgrowingfield.InAbstractTopologyoptimizationhasbecomeverypopularin
2、general,specializedoptimizationcodes,althoughindustrialapplicationsandmostFEMcodeshaveequippedwithlessanalysiscapabilitiesthangeneralimplementedcertaincapabilitiesoftopologyFEMcodes,offermorefeaturesandhigherefficiencyoptimization.However,mostcodesdonotallowforoptimization.Thereasonsfor
3、thisaretwofold:(1)simultaneoustreatmentofsizingandshapehighlyspecializedcodesaretypicallysmallerandoptimizationduringtopologyoptimizationphase.Thisthereforemoreflexibleforincorporatingthelatestposesalimitationonthedesignspaceandthereforedevelopmentsthangeneralcodes;(2)forspecializedprev
4、entsfindingpossiblebetterdesignssincethecodes,highestpriorityisdevotedtoitscoretechnologyinteractionofsizingandshapevariableswithtopologyofoptimization.modificationisexcluded.Inthispaper,anintegratedapproachisdevelopedtoprovidetheuserwiththeUptodate,topologyoptimizationisperformedfreedo
5、mofcombiningsizing,shapeandtopologyseparatelywhilstsizingandshapeoptimizationcanbeoptimizationinasingleprocess.combinedinasingleprocess.ThisseparationoftopologyoptimizationmaybeduetothefactthatitisusuallyusedasatoolforfindingefficientdesignIntroductionconceptsattheearlydesignstagewherea
6、ssizingandSizing,shapeandtopologyoptimizationarethemajorshapeoptimizationaretoolsfordetaileddesignataingredientsofthetechnologyofstructuraloptimization.laterstage.However,feedbackfromindustrialusersSizingandshapeoptimizationcapabilitieswerehaveshownthat,evenatthestageofconceptualstudy,a
7、vailablesincelateeightiesinsomepopularFEMitmaybedesirabletoconsidertheinteractionofsomesoftwaresuchasMSC/Nastran[1]andANSYS[2].keysizingandshapeparameterswithtopologySpecializedstructuraloptimizationsoftwaresuchasoptimization.Forexample,onemightwanttooptimizeGENESIS[3]alsoemerg
