追究根基的结构拓扑优化方法

被引：46

作者：

隋允康

叶红玲

刘建信

陈实

宇慧平

机构：

[1] 北京工业大学工程数值模拟中心

来源：

工程力学 | 2008年 / 25(S2)卷 / S2期

关键词：

结构拓扑优化; ICM方法; 0-1离散变量数学规划; 优化模型的建立; 磨光函数; 过滤函数;

D O I：

暂无

中图分类号：

O342 [结构力学];

学科分类号：

070301 [无机化学];

摘要：

结合作者在结构拓扑优化方面的研究工作,围绕了ICM(独立、连续、映射)方法涉及的基本概念上的突破,叙述了将本质上为0-1离散变量的拓扑优化问题转化为连续变量优化问题的具体做法,其中介绍了若干要点:以阶跃函数把离散问题化为连续问题即完成关键的等价性转换是第一步;定义磨光函数逼近阶跃函数的可操作的近似是第二步;引入作为磨光函数反函数的过滤函数实现映射性建模是第三步;采用某些光滑算法求解连续变量模型则是第四步。通过连续体结构的典型数值算例说明了将结构拓扑优化的模型转化为独立层次的拓扑优化过程。该方法对于纯数学的0-1离散变量优化的求解也适用,方法与数值都表明了这一点。

引用

页码：7 / 19

页数：13

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