基于变密度法的几形钣件加强筋拓扑优化设计-研究

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1、plate,avoidingastressconcentrationintheprocessofwork,forcedvibrationandotherdefects.Thetopologyoptimizationdesignofstiffenersforthelocksupportplatebasedonvariabledensitymethod,notonlyreducesthecostofpartsandimprovestheservicelife,butalsohasaimportantcertainreferenceforthestiffenerlayoutoptimiza

2、tionofshellandplate.Keywords:plateandshell,stiffener,topologyoptimization,variabledensitymehtod,ANSYSIII万方数据目录摘要................................................................IAbstract............................................................II第1章绪论...........................................

3、..............11.1课题的研究意义...............................................11.2国内外研究现状...............................................21.2.1结构拓扑优化的研究现状..................................21.2.2加筋板壳结构的研究现状..................................51.3论文研究内容.................................................71.4

4、本章小结.....................................................7第2章结构拓扑优化设计.............................................92.1结构拓扑优化简介.............................................92.2有限元方法..................................................102.2.1结构的离散化...........................................102.2.2单元

5、特性分析...........................................112.2.3有限元方程求解.........................................122.3基于变密度法的拓扑优化......................................132.3.1SIMP模型.............................................142.3.2RAMP模型............................................152.4建立拓扑优化数学模型.........

6、...............................162.5敏度分析技术及棋盘格抑制技术................................172.5.1敏度分析...............................................172.5.2敏度过滤技术...........................................182.6基于变密度法的拓扑优化算法..................................192.6.1设计变量的迭代公式...............................

7、......192.6.2拉格朗日乘子...........................................212.6.3收敛准则...............................................212.7本章小结....................................................22第3章基于APDL语言的ANSYS结构拓扑优化程序....................24