Some symmetry results for optimal solutions in structural optimization

  • Authors:

  • Xu Guo;Changhui Ni;Gengdong Cheng;Zongliang Du

  • Affiliations:

  • State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, People's Republic of China 116023;State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, People's Republic of China 116023;State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, People's Republic of China 116023;State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, People's Republic of China 116023

  • Venue:
  • Structural and Multidisciplinary Optimization
  • Year:
  • 2012

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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.