基于數(shù)學規(guī)劃求解的拓撲優(yōu)化方法及其應用研究.pdf

1、長沙理工大學碩士學位論文基于數(shù)學規(guī)劃求解的拓撲優(yōu)化方法及其應用研究姓名：邢曉娟申請學位級別：碩士專業(yè)：載運工具運用工程指導教師：榮見華20080420ABSTRACTThispapermainlymakesresearchesonstructuraltopologyoptimizationmethoddealingwithmathematicalprogrammingsolving，givesthealgorithmandpmgrams

2、ofthestructural蛐bgyoptimizationmethodeomideringfrequencyconstraintsandeomideringdisplacementandfrequencyconstraintsAndalotofnumericalsimulationsalecompletedBased011theideasoftheICMmethodandtheevolutionarysmlcturaloptimiz

3、ationmethodfatthispaperproposesanewstructtaaltopologicaloptimizationmethodconsideringonlydisplacememconstraintsAttheinitialiterationstepofeachoptimizationiterationsubloopinordertocontrolthechangequantityoftopologicaldesi

4、gnvariablesne、^，constraj緘limitsareformedandintroducedintotheoptmaizationmodelMoreovertheelementdeletionandaddingcriterionandasetofstructuraloptimizationstrategiesaregivenImorporatingtheLagrangemultipliermethodasetofsolvi

5、ngmethodforcontinuoustopologicalvariablesofsubloopiterationsisimproveaandanewcontinuumstructuraltopoI!ogiGaloptimizationmethodconsideringonlydisplacementconstraintsisproposedThenthispaperhasmaderesearchesonthe《飄囂惑趕altopo

6、logicaloptimizationproblemwiththeobjectivefunctionbeingthesmletlaalweightandjustconsideringfrequencyconsWaintsandconsideringdisplacementandfrequencyeongttaill紅basedonmathematicalprongsolvingForthementionedaboveproposedme

7、thodstheirproceduresareimplemente吐andalotoftypicalstructtnaldesignexamplesaregivenandsimulationdesignsofatruckframestructureandothercomponentsarecompletedResultsobtainedshowthattheproposedmethodsinthisthesisarecorrectand