基于Lingo和Matlab的空间桁架结构联合优化设计  

Integrated Optimization of Spatial Truss Structure Based on Lingo and Matlab

作　　者：李姣玉 何建军[2] 

机构地区：[1]株洲市第五中学,株洲412000 [2]长沙理工大学汽车与机械工程学院,长沙410115

出　　处：《价值工程》2012年第26期106-107,共2页Value Engineering

基　　金：国家自然科学基金项目(10872036);国家863课题(2008AA04Z118)资助

摘　　要：本文研究了位移和应力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Matlab软件分别进行优化求解。数值算例的结果表明,两种方法得到的优化结果完全一致,都能明显的减轻设计结构的重量,且方法简单,易实施。This paper investigates the size optimization of truss structure under displacement and stress constraints. Firstly, based on finite element analysis and symbolic computation, explicit function of displacement constraints is obtained by approximate method. Secondly, combined with calculation formula of stress constraints of truss structure, mathematical model of optimization problem is established. Finally, optimization solution is carried out by Lingo and Matlab. The results show that solutions of the two methods are close to each other, and they both can reduce effectively the weight of design structure. Also the method is simple, and is easy to implement.

关 键 词：应力约束 尺寸优化 显式函数 Lingo Matlab 

分 类 号：TU3[建筑科学—结构工程]