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Optimal design of a truss configuration under multiloading conditions

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Abstract

The paper deals with the optimum structural design of a truss for which coordinates of structural nodes as well as member sizes constitute a set of design variables. The truss may be loaded by as many loading conditions as needed and is subjected to constraints imposed on stress displacements and complementary energy. An important relation between the cost function, Lagrange multipliers and limit values of constraints is derived. The paper presents the outline of an algorithm for the solution of a system of equations and inequality arising from the Kuhn-Tucker necessary condition for an optimum problem. Five numerical examples of 2D trusses are presented.

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Authors and Affiliations

  1. Łódź Technical University, ul. Żwirki 36, PL-90-924, Łódź, Poland

    K. Dems

  2. Institute of Fundamental Technological Research, Polish Academy of Sciences, ul. Świetokrzyska 21, PL-00-049, Warsaw, Poland

    W. Gutkowski

Authors
  1. K. Dems
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  2. W. Gutkowski
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Dems, K., Gutkowski, W. Optimal design of a truss configuration under multiloading conditions. Structural Optimization 9, 262–265 (1995). https://doi.org/10.1007/BF01743981

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  • DOI: https://doi.org/10.1007/BF01743981

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