结构设计中的混沌优化方法及其改进  

Chaos optimization method and improvement in structural designs

作　　者：赵国忠[1] 郑勇刚[1] 顾元宪[1] 

机构地区：[1]大连理工大学工程力学系工业装备结构分析国家重点实验室,辽宁大连116024

出　　处：《计算力学学报》2005年第1期64-68,共5页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(10032030;10302006);辽宁省博士科研启动基金(20021063)资助项目.

摘　　要：在变尺度混沌优化方法研究中,结合结构优化问题的特点,提出了一种改进的混沌优化求解算法,用来解决带有多种约束条件的结构优化设计问题。在有限元分析和优化设计软件JEFIX中实现了上述算法,并通过数值算例讨论了变尺度混沌优化方法在结构优化中的可行性及存在的问题,得到了一些重要结论。Based on the research of the mutative scaling chaos optimization, considering the characteristic of the structure optimization, an improved chaos optimization method is proposed in order to solve optimization problems with various constraint conditions in the structural design. The method proposed in this paper has been implemented in the software JIFEX of the finite element analysis and design optimization of general purposed structures. Analysis of numerical examples shows that chaos optimization method is feasible in structure design optimization and the improved chaos optimization method presented in this paper is effective. The following three conclusions useful to application of chaos optimization in structural design are found: 1) Mutative scaling chaos optimization method can be used to solve the problem of design optimization. 2) When optimum result is near to the upper bound or low bound of design variable, the ideal optimum result cannot be gotten. The improved chaos optimization method presented in this paper is effective in dealing with this problem. 3) The global searching efficiency of the chaos optimization method is high, whereas the local searching efficiency is low.

关 键 词：混沌 结构优化 变尺度 

分 类 号：O224[理学—运筹学与控制论] TU311.4[理学—数学]