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Structural optimization

, Volume 11, Issue 1–2, pp 1–12 | Cite as

A new approach to variable-topology shape design using a constraint on perimeter

  • R. B. Haber
  • C. S. Jog
  • M. P. Bendsøe
Research Papers

Abstract

This paper introduces a method for variable-topology shape optimization of elastic structures called theperimeter method. An upper-bound constraint on the perimeter of the solid part of the structure ensures a well-posed design problem. The perimeter constraint allows the designer to control the number of holes in the optimal design and to establish their characteristic length scale. Finite element implementations generate practical designs that are convergent with respect to grid refinement. Thus, an arbitrary level of geometric resolution can be achieved, so single-step procedures for topology design and detailed shape design are possible. The perimeter method eliminates the need for relaxation, thereby circumventing many of the complexities and restrictions of other approaches to topology design.

Keywords

Optimal Design Design Problem Characteristic Length Shape Optimization Characteristic Length Scale 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • R. B. Haber
    • 1
  • C. S. Jog
    • 2
  • M. P. Bendsøe
    • 2
  1. 1.Department of Theoretical and Applied MechanicsUniversity of Illinois at Urbana-ChampaignUrbanaUSA
  2. 2.Mathematical InstituteThe Technical University of DenmarkLyngbyDenmark

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