Advertisement

Springer Nature is making Coronavirus research free. View research | View latest news | Sign up for updates

Optimal design of structures with variable support conditions

  • 167 Accesses

  • 75 Citations

Abstract

The conditions for optimal location of supports are derived for the case of elastic design for specified mean compliance and plastic design for given safety factor of plastic collapse. The optimal design problem is next formulated including position-dependent cost of support into the design procedure. Both rigid and flexible or yielding supports are considered.

This is a preview of subscription content, log in to check access.

References

  1. 1.

    Marçal, P. V., andPrager, W.,A Method of Optimal Plastic Design, Journal de Mécanique, Vol. 3, No. 1, 1964.

  2. 2.

    Prager, W., andShield, R. T.,General Theory of Optimal Plastic Design, Journal of Applied Mechanics, Proceedings of the ASME, Vol. 34, No. 1, 1967.

  3. 3.

    Rozvany, G. I. N.,Optimal Plastic Design of Partially Preassigned Strength Distribution, Journal of Optimization Theory and Application, Vol. 11, No. 4, 1973.

  4. 4.

    Mróz, Z.,Multiparameter Optimal Design of Plates and Shells, Journal of Structural Mechanics, Vol. 1, No. 3, 1973.

  5. 5.

    Elsgolc, L. E.,Calculus of Variations, Pergamon Press, Oxford, England, 1961.

Download references

Author information

Additional information

Dedicated to Professor W. Prager

The present paper was written when Dr. Rozvany was a Visiting Professor at the Institute of Fundamental Technological Research, Warsaw, Poland.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Mróz, Z., Rozvany, G.I.N. Optimal design of structures with variable support conditions. J Optim Theory Appl 15, 85–101 (1975). https://doi.org/10.1007/BF00933023

Download citation

Key Words

  • Structural optimization
  • engineering design
  • optimality conditions
  • calculus of variations
  • structural mechanics