一种变频率约束限的结构拓扑优化方法-豆柴文库

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一种变频率约束限的结构拓扑优化方法
Title:AStructuralTopologyOptimizationMethodwithVariableFrequencyConstraints
Abstract:
Structuraltopologyoptimizationplaysacrucialroleinthedesignoflightweightandefficientstructures,especiallyindomainssuchasaerospace,automotive,andcivilengineering.Thispaperproposesanovelmethodforstructuraltopologyoptimizationusingvariablefrequencyconstraints.Theobjectiveistooptimizethedistributionofmaterialwithinagivendesignspace,whilesatisfyingfrequencyconstraintsthroughoutthestructure.Theproposedmethoddemonstratessignificantadvantagesinachievinglightweightandhigh-performancestructureswithimprovedvibrationcharacteristics.
1.Introduction
Withtheincreasingdemandforlightweightandefficientstructuresinvariousengineeringapplications,structuraltopologyoptimizationhasbecomeawidelyresearchedarea.Traditionalapproachesfocusonminimizingthestructuralcompliance,whichmaynotalwaysguaranteeoptimaldesignswithdesiredvibrationcharacteristics.Toaddressthislimitation,thispaperpresentsanovelapproachthatintroducesvariablefrequencyconstraintsintothestructuraltopologyoptimizationprocess.
2.OverviewofTraditionalStructuralTopologyOptimization
Priortodiscussingtheproposedmethod,itisessentialtounderstandthebasicprinciplesofstructuraltopologyoptimization.Traditionalmethodsaretypicallybasedonmathematicalformulationssuchasthedensitymethodorlevelsetmethod.Theobjectiveistodeterminetheoptimalmaterialdistributionwithinagivendesigndomain,consideringvariousconstraintssuchasstress,displacement,andvolumefraction.Thesemethodshaveprovedtobeeffectiveinobtaininglightweightstructureswithspecifiedmechanicalproperties.
3.TheNeedforFrequencyConstraintsinStructuralTopologyOptimization
Inmanyengineeringapplications,itisessentialtoconsiderthevibrationcharacteristicsofstructures.However,traditionalapproachesfocusprimarilyonstaticloadingconditionsandmaynotprovidesatisfactoryvibrationperformance.Incorporatingfrequencyconstraintsintotheoptimizationprocesscanimprovethedynamicbehaviorofstructures,enablinglightweightdesigns