## 留言板

 引用本文: 梅玉林, 王晓明, 程耿东. 基于离散变量的拓扑优化方法[J]. 应用数学和力学, 2007, 28(6): 631-642.
MEI Yu-lin, WANG Xiao-ming, CHENG Geng-dong. Binary Discrete Method of Topology Optimization[J]. Applied Mathematics and Mechanics, 2007, 28(6): 631-642.
 Citation: MEI Yu-lin, WANG Xiao-ming, CHENG Geng-dong. Binary Discrete Method of Topology Optimization[J]. Applied Mathematics and Mechanics, 2007, 28(6): 631-642.

• 中图分类号: O342

## Binary Discrete Method of Topology Optimization

• 摘要: 单元敏度的不准确估计是离散拓扑优化算法数值不稳定的原因之一，特别是添加材料时，传统的敏度计算公式给出的估计误差较大，甚至有时估计符号都是错误的．为了克服这一问题，通过对弹性平衡增量方程的摄动分析构造了新的增量敏度估计公式．这一新的公式无论是添加材料还是删除材料都能较准确地估计出目标函数增量，它可以看作是通过非局部单元刚度阵对传统敏度分析公式的修正．以此为基础构建了一种基于离散变量的拓扑优化算法，它可以从任意单元上添加或删除材料以使目标函数减小，同时为避免优化过程中重新划分网格，采用了单元软杀策略以小刚度材料模拟空单元．这一方法的主要优点是简单，不需要太多的数学计算，特别有利于工程实际的应用．
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##### 出版历程
• 收稿日期:  2006-07-13
• 修回日期:  2007-04-11
• 刊出日期:  2007-06-15

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