【摘要】 本文对结构形状优化问题,结构截面尺寸优化问题和一般数学规划方法作了比较,讨论了一维搜索策略对优化方法的效率和严谨性的影响;根据粗糙一维搜索思想,构造了带自适应运动极限的序列线性规划法,用来解平面应力(应变)结构形状优化问题中出现的极小-极大问题,作了数值比较。附录给出了灵敏度计算公式。更多还原

【Abstract】 The present paper compares the problems of the shape optimization, the structural size optimization and the general mathematical programming, and it also discusses the effect of one dimensional search strategy on the efficiency and rigoriousness of the optimization methods. Based on the idea of the coarse line search strategy, Sequential Linear Programming Algorithm with Adaptive Move Limit is proposed, and is applied to solve the min-max problem in the shape optimization of the planar continuum structures. Examples of numerical experiments are presented.The sensitivity analysis is given in appendix.更多还原