结构拓扑优化设计的组合算法

Combinatorial algorithm of discrete optimum topology design of structures

根据最优载荷传递路线的概念及其搜索方法 ,较简便地获得比原问题给定的拓扑结构要小的次拓扑结构 Td;在不会遗漏最优拓扑解的前提下 ,使寻优拓扑空间缩小。相对原问题 ,Td 体现了最优传力性质。根据文中的删杆策略 ,在每次迭代中 ,可有效地定出‘被删杆件集’,按离散变量结构截面优化的组合算法 [1 ] 的模式对 Td 进行离散变量拓扑优化。最后给出了算例 。

Based on the concept of optimal route of load transfer and the method how to search for it, the space of the middle topology structure T d that conveniently be achieved is less than one of the original topology structure in the problem. The optimal topology solution would not be left out, and the topology space is reduced. Comparatively speaking, T d has the properties on optimal load transfer. Based on the tacties on deleting shaft in this paper, out the set of the shafts deleted may be effectively given. According to the model of the combinatorial algorithm to solve minimum weight design problems of truss structures with discrete variables [1] , the author carry out the discrete optimum topology design to T d . The examples proved the efficiency and reliablity of the presented method.