整体局部方法在结构形状优化中的应用

摘要

The feasibility that the global‐local method can be applied to structural shape optimization based on the finite element meth‐od is discussed in this paper .The classical question of elasticity just about centre hole’s stress concentration in infinite plane is taken as example ,the problem of huge computation and inefficiency in engineering structural local shape optimization is solved .The solu‐tions have been given to solve the two basic problem :fixed cutting boundary and variable cutting boundary .The results show that de‐sign boundary shape change has great influence on the accuracy of cutting‐boundary’s displacement interpolation .%探讨了将整体局部方法应用在以有限元方法为基础的结构形状优化中的可行性。以无限大平面中心孔的应力集中问题为例，给出了应用该方法进行形状优化时出现的两类基本问题（定切割边界问题和不定切割边界问题）的解决方案。经分析发现，定切割边界优化方法有更高的通用性，但不定切割边界优化结果更接近真实解。由此可见设计边界形状的变化对切割边界位移插值的正确性影响较大。