Journal of Optimization Theory and Applications

, Volume 20, Issue 3, pp 359–380 | Cite as

Optimal design of structures with unspecified loading distribution

  • Z. Mróz
  • A. Garstecki
Contributed Papers

Abstract

The problem of the optimal distribution of loading on a structure that corresponds to the minimum of the elastic compliance or the maximum of the safety factor for plastic collapse is considered. Optimality criteria are derived, and their applicability is illustrated in the case of beams. Besides the optimally varying cross section, also the support positions and the load distribution are determined from the optimal solution.

Key Words

Structural optimization engineering design optimality conditions calculus of variations structural mechanics 

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References

  1. 1.
    Mróz, Z., andRozvany, G. I. N.,Optimal Design of Structures with Variable Support Conditions, Journal of Optimization Theory and Applications, Vol. 15, No. 1, 1975.Google Scholar
  2. 2.
    Mróz, Z.,Some Theorems on Optimal Force Action and Reaction, Archives of Mechanics (to appear).Google Scholar
  3. 3.
    Collins, I. F.,An Optimum Loading Criterion for Rigid-Plastic Materials, Journal of the Mechanics and Physics of Solids, Vol. 16, No. 2, 1968.Google Scholar
  4. 4.
    Cyras, A.,An Optimization Theory in Mechanics of Solids, Proceedings of IUTAM Symposium on Optimization in Structural Design, Edited by A. Sawczuk and Z. Mróz, Springer-Verlag, Berlin, Germany, pp. 454–464, 1975.Google Scholar

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • Z. Mróz
    • 1
  • A. Garstecki
    • 2
  1. 1.Institute of Fundamental Technological ResearchPolish Academy of SciencesWarsawPoland
  2. 2.Department of Civil EngineeringPoznań Technical UniversityPoznańPoland

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