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Exact truss topology optimization for external loads and friction forces

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Abstract

In replying to a valuable Discussion by Mariano Vázquez Espi, the authors show that the problem of friction forces in general can be handled by the Prager-Rozvany layout theory, and the optimal Michell layout does not always correspond to the maximum value of the static friction force. Moreover, it is explained that discontinuities in the specific cost function can be accommodated by an extended version of the Prager-Shield optimality criteria, which was already demonstrated in the second author’s first (1976) book.

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Acknowledgments

The Second Author acknowledges financial support from OTKA (Grant No. 81185).

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Authors and Affiliations

  1. Department of Structural Mechanics and Computer Aided Engineering, Faculty of Civil Engineering, Warsaw University of Technology, Al. Armii Ludowej 16, 00-637, Warsaw, Poland

    Tomasz Sokół

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

    George I. N. Rozvany

Authors
  1. Tomasz Sokół
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  2. George I. N. Rozvany
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Correspondence to George I. N. Rozvany.

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Sokół, T., Rozvany, G.I.N. Exact truss topology optimization for external loads and friction forces. Struct Multidisc Optim 48, 853–857 (2013). https://doi.org/10.1007/s00158-013-0984-8

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  • DOI: https://doi.org/10.1007/s00158-013-0984-8

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