期刊论文

Comparison of Application of Lingo and 1stOpt in Structural Optimization Design

中文

价值工程

1006-4311

2012

31

24

9-10

10.14018/j.cnki.cn13-1085/n.2012.24.031

10872036:国家自然科学基金 2008AA04Z118:国家高技术研究发展计划（863计划）

本校为第一机构

本文研究了位移、应力和稳定约束下桁架结构的尺寸优化设计问题。首先,基于Matlab的有限元分析和符号计算功能,采用近似方法得到位移约束的显式函数,再结合桁架结构应力约束的计算公式,构造优化设计的数学模型,最后,采用Lingo和1stOpt软件对该问题分别进行优化求解并予以比较。数值算例的结果表明,两种方法得到的优化结果一致,都能明显的减轻设计结构的重量,且方法简单,易实施,但两种软件各有优缺点。

This paper investigates the size optimization of truss structure under displacement,stress and stability constraints.Firstly,based on finite element analysis and symbolic computation,explicit function of displacement constraints is obtained by approximate method.Secondly,combining with calculation formula of stress constraints of truss structure,mathematical model of optimization problem is established.Finally,optimization solution was carried out by Lingo and 1stOpt,and the results were compared by each other.The results show that solutions of the two methods are close to each other,and they ...