基于节点密度的连续体结构拓扑优化方法-研究与其应用

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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................................................................................31.4研究内容及组织结构..............................

3、..........................................72基于双线性插值函数的节点密度插值方法研究.......................................92.1引言....................................................................................................92.2基于双线性插值函数的材料密度插值方法....................................92.3拓扑优化数学模型及求解

4、流程......................................................122.4数值算例分析与讨论......................................................................142.5本章小节..........................................................................................183基于节点密度法的中间密度节点抑制方法研究....................

5、.................193.1引言..................................................................................................193.2改进的材料密度惩罚方法..............................................................193.3拓扑优化数学模型及求解流程......................................................233.4数值算例分

6、析与讨论......................................................................253.5本章小结..........................................................................................304节点密度法在材料微结构优化中的应用.................................................314.1引言.................................

7、.................................................................314.2均匀化理论......................................................................................314.3微结构优化数学模型及求解流程..................................................364.4数值算例分析与讨论......................................

8、..........................