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Exact analytical solutions for some popular benchmark problems in topology optimization III: L-shaped domains

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Abstract

In this paper exact, analytical solutions are derived for another highly popular benchmark problem, namely, L-shaped domains having a horizontal line support and one or several point loads. The optimal topologies are obtained in the context of Michell structures, i.e., least-weight, stress, or compliance-controlled trusses with a single load condition.

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Authors and Affiliations

  1. Faculty of Civil Engineering, Institute of Structural Mechanics, Warsaw University of Technology, al. Armii Ludowej 16, 00-637, Warsaw, Poland

    T. Lewiński

  2. Department of Structural Mechanics, Budapest University of Technology and Economics, Müegyetem rkp. 3, Kmf. 35, 1521, Budapest, Hungary

    G. I. N. Rozvany

Authors
  1. T. Lewiński
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  2. G. I. N. Rozvany
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Correspondence to T. Lewiński.

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Lewiński, T., Rozvany, G.I.N. Exact analytical solutions for some popular benchmark problems in topology optimization III: L-shaped domains. Struct Multidisc Optim 35, 165–174 (2008). https://doi.org/10.1007/s00158-007-0157-8

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  • DOI: https://doi.org/10.1007/s00158-007-0157-8

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