Structural and Multidisciplinary Optimization

, Volume 23, Issue 3, pp 189–203 | Cite as

On the modelling and solving of the truss design problem with global stability constraints

  • M. Kočvara
Research paper

Abstract

The goal of this paper is to find a computationally tractable formulation of the optimum truss design problem involving a constraint on the global stability of the structure. The stability constraint is based on the linear buckling phenomenon. We formulate the problem as a nonconvex semidefinite programming problem and briefly discuss an interior point technique for the numerical solution of this problem. We further discuss relation to other models. The paper is concluded by a series of numerical examples.

Key words: truss optimization, global stability, semidefinite programming, interior point technique, nonlinearity 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • M. Kočvara
    • 1
  1. 1.Institute of Applied Mathematics, University of Erlangen, Martensstr. 3, D-91058 Erlangen, Germany e-mail: kocvara@am.uni-erlangen.deDE

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