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Structural and Multidisciplinary Optimization

, Volume 22, Issue 2, pp 116–124 | Cite as

An alternative interpolation scheme for minimum compliance topology optimization

  • M. Stolpe
  • K. Svanberg
Research paper

Abstract

We consider the discretized zero-one continuum topology optimization problem of finding the optimal distribution of two linearly elastic materials such that compliance is minimized. The geometric complexity of the design is limited using a constraint on the perimeter of the design. A common approach to solve these problems is to relax the zero-one constraints and model the material properties by a power law which gives noninteger solutions very little stiffness in comparison to the amount of material used.

We propose a material interpolation model based on a certain rational function, parameterized by a positive scalar q such that the compliance is a convex function when q is zero and a concave function for a finite and a priori known value on q. This increases the probability to obtain a zero-one solution of the relaxed problem.

Key words: topology optimization 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • M. Stolpe
    • 1
  • K. Svanberg
    • 1
  1. 1.Optimization and Systems Theory, KTH, Stockholm, Sweden e-mail: Mathias.Stolpe@math.kth.se e-mail: Krister.Svanberg@math.kth.seSE

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