KS函数与最小-最大优化问题

KS Function and Optimization of Min-Max Problem

讨论了 KS 函数在结构优化设计中的影响与作用.研究表明,在挑选紧约束集中,KS函数是一个非常有用、有前途的工具,而这一点,恰是许多优化方法的关键.同时指出,KS 函数很适合求解最小-最大类型的优化问题.一个加筋弯曲板加强筋的形状优化设计例题证明,它的算法既简单又易于实现,收敛也是迅速、稳定的.

Discusses the effect of KS function in structural optimization.The research shows that KS function is a vary useful and prospective tool for selecting the active constraints,which is the key step in many of optimum methods.Meanwhile,KS function is suitable for dealing with the optimization of Min-Max problem.The ex- ample of a stiffened plate reinforced by ribs reated with shape optimization of ribs testifies that its algorithm is simple and easy to be implemented,the convergence is fast and stable.