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1、StructuralOptimization17,269-278(~)Springer-Verlag1999TopologyoptimizationofcompliantmechanismswithmultipleoutputsM.FreckerDepartmentofMechanicalandNuclearEngineering,PennsylvaniaStateUniversity,UniversityPark,PA,USAN.KikuchiandS.KotaDepartmentofMechan
2、icalEngineeringandAppliedMechanics,UniversityofMichigan,AnnArbor,MI,USAAbstractAprocedureforthetopologydesignofcompliantMorerecently,methodsforsynthesisofcompliantmecha-mechanismswithmultipleoutputrequirementsispresented.TwonismshavebeendevelopedbyMidh
3、aandothers,whichusemethodsforhandlingthemultipleoutputrequirementsarede-kinematictechniquessuchasgraphtheory(Murphyetal.veloped,acombinedvirtualloadmethodandaweightedsumof1993)andBurmestertheory(MettlachandMidha1996),asobjectivesmethod.Theproblemformul
4、ationsandnumericalsolu-wellasapseudorigid-bodymodel(HowellandMidha1994).tionproceduresarediscussedandillustratedbydesignexamples.ThesemethodsapproachcompliantmechanismdesignfromTheexamplesillustratethecapabilitiesofthedesignprocedure,akinematicviewpoin
5、t,i.e.theybeginwithaknownrigid-linktheeffectofthedirectionoftheoutputdeflectionrequirementsonmechanismandconvertittoacompliantmechanism.thesolution,aswellascomputationalissuessuchastheeffectofthestartingpointandeffectofthematerialresourceconstraint.Ont
6、heotherhand,researcherssuchasAnanthasureshandothershaveapproachedcompliantmechanismdesignfromastructuralviewpoint,usingtopologyoptimizationmethods(Ananthasureshetal.1993,1994a,b).Atopologyoptimizationapproachisadvantageousbecauseitdoesnot1Introductionr
7、equirearigid-linkmechanismconfigurationasastartingTheoptimizationofstructuralsystemsformaximumstiff-point,andcanbeusedtodesignsingle-piecefullycompli-nessandleastweighthasbeenstudiedextensivelybymanyantmechanisms.Othereffortsaimedatusingoptimizationres
8、earchers(e.g.PragerandRozvany1977;Bends0eandtechniquestodesignmechanismshavebeendevelopedbySig-Kikuchi1988;Bends0eetal.1993).Variouscomputationalmund(1996)andLarsenetal.(1997).Furthermore,Freckertechniqueshavebeendevelopedtopredicttheop
