Symmetry properties in structural optimization: some extensions
نویسندگان
چکیده
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.
منابع مشابه
A study on symmetry properties in structural optimization
1. 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 quasi-convex programs, there exists at least one symmetric global optimal solution if the prescribed loading and support conditions are symmet...
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تاریخ انتشار 2013