摘要
本文讨论了弹性连续体形状优化设计数值方法的几个数值问题:子结构优化算法;敏度分析的解析计算;对以重量为目标函数的优化设计问题,构造了较准确的步长估算算法等。根据这些算法编制了程序用于优化平面应力(应变)结构的边界形状以最小化重量。给出了一个数值例子。
<ABSTRACT> Several numerical problems in the numerical methodof shape optimum design for elastic continuum are discussed inthis paper, which are substructural algorithm of shape optimiza-tion, analytical calculation of sensitivity analysis, presentation ofmore accurate algorithm of step size for optimum design in whichthe weight is taken as the aim function. Based on these algori--thms, a program is designed to optimize the boundary shape ofthe planar continuum structures to minimize the weight. An exa-mple is given.
关键词
形状
优化设计
敏度分析
步长估算
shape optimum design
sensitivity analysis
tep size estimation