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基于SIMP的柔顺机构的多目标拓扑优化设计.docx

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基于SIMP的柔顺机构的多目标拓扑优化设计 Abstract: Thispaperintroducesamulti-objectivetopologyoptimizationdesignofcompliantmechanismsbasedontheSolidIsotropicMaterialwithPenalization(SIMP)method.Compliantmechanismsareoftenusedinfieldssuchasrobotics,aerospace,andmedicaldevicesduetotheirabilitytoallowforlargedeformationsandprovideprecisecontrol.However,thedesignofcompliantmechanismsposessignificantchallengesduetotheircomplexgeometryandbehavior.TheSIMP-basedtopologyoptimizationmethodprovidesapowerfultoolforoptimizingthegeometryandbehaviorofcompliantmechanismsformultipleobjectives,suchasachievingminimalweightandmaximumstiffness.Inthispaper,wediscusstheSIMPmethod,itsapplicationincompliantmechanismdesign,anddemonstratehowitcanbeusedtooptimizethetopologydesignofacompliantmechanismformultipleobjectives. Keywords:Compliantmechanism,SolidIsotropicMaterialwithPenalization(SIMP),Topologyoptimization,Multi-objectiveoptimization. Introduction: Compliantmechanismsareaclassofmechanismsthataredesignedtoallowforlargedeflectionswhilemaintainingminimaldeformation.Theyarewidelyusedinfieldssuchasrobotics,aerospace,andmedicaldevicesduetotheirabilitytoprovideprecisecontrolandreducecomplexityintraditionalmechanisms.Compliantmechanismshavecomplexgeometries,whichmaketheirdesignandanalysischallenging.Therefore,topologyoptimizationisapowerfultooltosolvethecomplexgeometriesinasystematicway. Topologyoptimizationinvolvesfindingtheoptimalmaterialdistributionofastructurebyiterativelyremovingoraddingmaterialtothedesignspaceuntilasetofobjectivesismet.Theobjectiveistypicallytominimizetheweightormaximizethestiffnessofthestructure,subjecttoconstraintssuchasstressanddeformationlimits.Inthedesignofcompliantmechanisms,topologyoptimizationcanbeusedtocreateoptimaldesignswiththedesiredgeometricfeaturesandbehavior.However,thetraditionaltopologyoptimizationmethodhassomedisadvantages,suchasthedifficultytogenerateamanufacturablestructurefromtheoptimizedtopology. TheSolidIsotropicMaterialwithPenalization(SIMP)methodwasintroducedtoover