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离散变量优化设计的方向差商法
引用本文:柴山,王健,曹新忠.离散变量优化设计的方向差商法[J].计算力学学报,1994,11(3).
作者姓名:柴山  王健  曹新忠
作者单位:山东工程学院汽车工程系
摘    要:本文根据离散变量的特点,提出了方向差商的概念,并且针对一类目标函数、约束函数具有单调性的优化设计问题,发展了一种在可行集外由目标函数最小的点出发,沿目标函数增加最小、约束函数降低最多的方向逐步搜索,逐步靠近可行集边界的方向差商法。并将此方法应用于离散变量结构优化设计中。

关 键 词:优化设计,差商,工程结构/离散变量

A direction-difference-quotient method of the optimal design of discrete variable
Chai Shan,Wang Jian,Cao Xinzhong.A direction-difference-quotient method of the optimal design of discrete variable[J].Chinese Journal of Computational Mechanics,1994,11(3).
Authors:Chai Shan  Wang Jian  Cao Xinzhong
Abstract:According to the characters of discrete variable,the concept of direction-difference-quo-tient is advanced,and a direction-difference-quotient method is developed in this paper. The method,starting from the minimum point of objective function out of feasible set and ad-vancing along the direction of minimum increasement of objective function and maximum de-creasement of constrained functions, can be used to solve a kind of optimum design problems with monotone objective function and constrained functions.The method has been applied to the optimum design of discrete variable structure.
Keywords:optimal design  difference quotient  engineering structure/discrete variable
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