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1、Abstractincreaseefficiencyoftopologyoptimizationbasedonmesh-freemethodeffectively.Insummary,inthispaper,theelement-freeGalerkinmethodandtheevolutionarystructuraloptimizationmethodissuccessfullycombinedtosolvethetopologyoptimizationproblemoftwo-dimensionalcontinuummodel.Theresult
2、sshowthatitcanincreaseefficiencyeffectively.Andthisprovidesanewwayoftopologyoptimizationbasedonmesh-freemethod.Keywords:TopologyOptimization;EvolutionaryStructuralOptimizationMethod;Element-FreeGalerkinMethod;NodeBirth&Death;Node’sdeletion;ShapeFunction;ParameterSelectionofEFGII
3、I目錄目錄第1章緒論..........................................................................................................................11.1研究背景及意義........................................................................................................11.2無網(wǎng)格拓撲優(yōu)化研究進展.................
4、.....................................................................21.2.1結構拓撲優(yōu)化概述...........................................................................................21.2.2無網(wǎng)格法在拓撲優(yōu)化中的應用......................................................................41.3漸進結構拓撲優(yōu)化研究進展
5、..................................................................................61.4主要研究內容............................................................................................................7第2章EFG法與ESO法基本理論..............................................................
6、...................82.1EFG法的基本理論...................................................................................................82.1.1MLS近似............................................................................................................82.1.2邊界條件處理.................
7、.................................................................................112.2ESO法的基本理論.................................................................................................132.2.1ESO法的理論描述.......................................................................
8、..................132.2.2基于應力水平的ESO法...........