Indexed by:期刊论文

Date of Publication:2012-11-01

Journal:STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

Included Journals:SCIE、EI、Scopus

Volume:46

Issue:5

Page Number:631-645

ISSN No.:1615-147X

Key Words:Symmetry; Structural optimization; Convex programming

Abstract: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.