基于efg法的渐进结构拓扑优化-研究

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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目录目录第1章绪论..........................................................................................................................11.1研究背景及意义........................................................................................................11.2无网格拓扑优化研究进展.................

4、.....................................................................21.2.1结构拓扑优化概述...........................................................................................21.2.2无网格法在拓扑优化中的应用......................................................................41.3渐进结构拓扑优化研究进展

5、..................................................................................61.4主要研究内容............................................................................................................7第2章EFG法与ESO法基本理论..............................................................

6、...................82.1EFG法的基本理论...................................................................................................82.1.1MLS近似............................................................................................................82.1.2边界条件处理.................

7、.................................................................................112.2ESO法的基本理论.................................................................................................132.2.1ESO法的理论描述.......................................................................

8、..................132.2.2基于应力水平的ESO法...........