Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Standardization and optimum structural design by dynamic programming

  • 61 Accesses

Abstract

The paper is concerned with tools for optimum structural design that can taken into account the industrial production of structural elements. Standardization is considered here as the result of minimizing the cost as a function of both element sizes and numbers of identical elements. The optimum value of the design variables obtained by traditional minimum weight (volume) design is taken as the starting point for the present procedure. Dynamic programming is used for standardization decisions. The method seems to be particularly effective when the cost function for each element size can be regarded as the sum of a constant term (initial investment) and a term that is proportional to the number of identical elements (cost of production).

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

References

  1. 1.

    Wasiutyński, Z., andBrandt, A.,The Present State of Knowledge in the Field of Optimum Design of Structures, Applied Mechanics Reviews, Vol. 16, No. 5, 1963.

  2. 2.

    Barnett, R.,Survey of Optimum Structural Design, Experimental Mechanics, Vol. 6, No. 12, 1966.

  3. 3.

    Sheu, C. Y., andPrager, W.,Recent Developments in Optimal Structural Design, Applied Mechanics Reviews, Vol. 21, No. 10, 1968.

  4. 4.

    Niordson, F. I., andPedersen, P.,A Review of Optimal Structural Design, The Technical University of Denmark, Report No. 31, 1972.

  5. 5.

    Belman, R., andDreyfus, S.,Applied Dynamic Programming, Princeton University Press, Princeton, New Jersey, 1962.

  6. 6.

    Distefano, N., andRath, A.,A Dynamic Programming Approach to the Optimization of Elastic Trusses, Journal of Optimization Theory and Applications, Vol. 15, No. 1, 1975.

  7. 7.

    Moses, F., andGoble, G.,Minimum Cost Structures by Dynamic Programming, American Institute of Steel Construction Engineering Journal, 1970.

Download references

Author information

Additional information

The original idea for the present approach, developed in Section 2, was suggested by Professor N. Distefano. The author will always remember this with gratitude.

The author expresses his thanks to Prof. Dr. W. Prager for reviewing the paper.

Communicated by W. Prager

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Vitiello, E. Standardization and optimum structural design by dynamic programming. J Optim Theory Appl 23, 183–191 (1977). https://doi.org/10.1007/BF00932306

Download citation

Key Words

  • Discrete systems
  • structural optimization
  • standardization
  • minimum cost design
  • dynamic programming