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论文类型：期刊论文

发表时间：2012-11-01

发表刊物：STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

收录刊物：SCIE、EI、Scopus

卷号：46

期号：5

页面范围：631-645

ISSN号：1615-147X

关键字：Symmetry; Structural optimization; Convex programming

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.