基于变密度法的箱型梁结构拓扑优化-研究

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1、中北大学学位论文modelswerebroughtup,andatypicalexamplewasgiven.(4)Basedontheresearchofstaticanalysisandresultsofboxinggriderstructure,alargenumberoflow-stressunitsongirderwerefound.Theapplicationoftopologyoptimizationiterationformulasandmathematicalmodelsbasedonvariabledensitymethodhasmadef

2、oroptimizingthewebsofgirder.Thenumericalinstabilitywerehandledandthefinalresultsofthetopologyoptimizationwasobtainedbythetheoryandformulasofinterpolationmodels.Comparedwithanalyticalresultsoftheoriginalmodel,theborderofthefinalresultswassocleartomeettheactualprocessingneeds.Keywords

3、:Topologyoptimization;variable-densitymethod;interpolationmodels;numericalinstability;boxinggirder中北大学学位论文目录1绪论......................................................................................................................................11.1课题研究背景和意义.........................

4、........................................................................11.2结构拓扑优化设计的产生和发展.............................................................................21.3国内外结构拓扑优化设计的研究现状.....................................................................31.4结构拓扑优化设计存在的问题..........

5、.......................................................................41.5研究目标和研究内容.................................................................................................52拓扑优化原理方法及应用研究...................................................................................72.1

6、结构拓扑优化基本原理.............................................................................................72.1.1结构优化设计的层次和分类..........................................................................72.1.2结构拓扑优化的基本概念.......................................................................

7、.......82.1.3结构优化设计的一般技术路线....................................................................102.2拓扑优化求解算法和数学模型...............................................................................102.3连续体结构拓扑优化基本方法..........................................................................

8、.....132.4结构拓扑优化计算中