Symmetry properties in structural optimization: some extensions
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论文类型：期刊论文
发表时间：2013-06-01
发表刊物：STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
收录刊物：Scopus、EI、SCIE
卷号：47
期号：6
页面范围：783-794
ISSN号：1615-147X
关键字：Symmetry; Structural optimization; Quasi-convex programming; Robust optimization
摘要：In the present paper, some extensions of the previous theoretical results about the symmetry properties of structural optimization problems are reported. It is found that generally the condition of convexity can be relaxed to quasi-convexity in order to guarantee the existence of symmetry global optima. Furthermore, some new results about the symmetry properties of robust and discrete structural optimization problems are also presented. Numerous concrete examples illustrate the claims made in the present work explicitly.