具有动应力和动位移约束的离散变量结构形状优化设计方法  

A design method for shape optimization of structures with discrete variables under dynamic stress and displacement constraints

作　　者：石连拴[1] 孙焕纯[2] 冯恩民[3] 

机构地区：[1]天津职业技术师范学院计算机系,天津300222 [2]大连理工大学工程力学系,辽宁大连116023 [3]大连理工大学应用数学系,辽宁大连116023

出　　处：《计算力学学报》2001年第4期419-423,共5页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金资助项目 ( 1 0 0 0 2 0 0 5;1 9871 0 0 9);天津市教委科研项目( 2 0 0 1 0 2 1 0 )

摘　　要：讨论了动应力、动位移约束下离散变量形状优化设计问题。首先用拟静力算法 ,将结构惯性力极值作为静载荷施加到结构上 ,求得结构的动位移和动内力 ,然后将考虑动应力约束和动位移约束的离散变量结构优化设计问题化为静应力和静位移约束的优化问题。在求解过程中 ,将单元内力作了一阶近似 ,并将多约束问题转化为单约束问题 。In this paper, a method for shape optimization with discrete variables under dynamic stress and displacement constraints is presented. By using the quasi static method, the structure optimization problem under dynamic stress and displacement constraints are converted into one under static stress and displacement constraints. In the procedure of shape optimization, by utilizing structural analysis based on the first order Taylor series expansion with respect to the member forces and Mohr Formula, the nonlinear model are converted into linear one. The comprehensive algorithm for shape optimization of structure with discrete variables is used to obtain optimum solution.

关 键 词：离散变量 结构优化 形状优化 动应力约束 组合优化 拟静力方法 

分 类 号：TU318[建筑科学—结构工程] O224[理学—运筹学与控制论]