基于节点密度的无网格拓扑优化方法-研究

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1、目录引言...............................................................................................................11绪论...............................................................................................................21.1课题来源..............

2、..............................................................................21.2研究背景............................................................................................21.3国内外研究现状...............................................................

3、.................31.4研究内容及组织结构........................................................................52Shepard插值与近似函数..............................................................................62.1移动最小二乘近似法...........................................

4、.............................62.2Shepard插值方法...............................................................................82.3Shepard近似方法...............................................................................92.4紧支Shepard近似在拓扑优化中的应用研究.........

5、.....................122.5本章小节..........................................................................................203基于节点密度的无网格拓扑优化方法.....................................................213.1无网格节点变量法...............................................

6、...........................213.2基于无网格法的拓扑优化数学模型与敏度分析..........................213.3节点密度插值方法..........................................................................233.4节点密度近似方法..........................................................................

7、273.5本章小结..........................................................................................324散热结构的无网格拓扑优化方法研究.....................................................344.1温度场控制方程的无网格法离散..................................................344.2散热结构的无网

8、格拓扑优化数学模型..........................................354.3数值算例..........................................................................................364.4本章小结.............................................................................