Some symmetry results for optimal solutions in structural optimization

被引：21

作者：

Guo, Xu ^{[1
]}

Ni, Changhui ^{[1
]}

Cheng, Gengdong ^{[1
]}

Du, Zongliang ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Engn Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116023, Peoples R China

来源：

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION | 2012年 / 46卷 / 05期

关键词：

Symmetry; Structural optimization; Convex programming;

D O I：

10.1007/s00158-012-0802-8

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In the present paper, some symmetry results for optimal solutions in structural optimization have been proposed and proven. It is found that under some invariant assumptions, for many structural optimization problems that can be formulated as convex programs, there exists at least one symmetric global optimal solution if the prescribed loading and support conditions are symmetric. Furthermore, for some specific non-convex cases, a weaker result is also presented.

引用

页码：631 / 645

页数：15

共 13 条

[1] A sequential parametric convex approximation method with applications to nonconvex truss topology design problems [J].