摘要
本文给出结构最优设计问题中求解约束非线性规划问题的区间方法,在引入区间算术的基础上,构造包含单调区间扩张以及相应的函数极大值的近似上界序列.证明了收敛性并得到了近似极值点即结构最优设计问题的解.方法简单,计算结果表明,本方法具有良好的实际应用前景.
The Interval method is given for solving the constrained nonlinear programming problem in the optimum design of structures. The monotonicity type extension is used to construct the sequence of upper bounds of the corresponding function for finding its maximum and the domain is bisected to locate the solution to the problem. The present method is quite simple and numerical results show that it is a promising method.
出处
《河海大学学报（自然科学版）》
CAS
CSCD
1991年第3期37-43,共7页
Journal of Hohai University(Natural Sciences)
关键词
区间法
结构
优化设计
非线性规划
interval method
monotonicity type extension
structure
optimum design
constrained nonlinear programming
