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Optimal design of elastic structures for multipurpose loading

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Abstract

The optimal design of elastic beams subjected to two alternative loading systems is considered for compliance constraints and a minimum-cross-section constraint. Sufficient conditions for optimality are established, and a technique for determining the optimal design is presented. Two examples are given. Generalizations to more than two loading systems and more complex structures are straightforward.

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References

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

  2. Martin, J. B.,The Optimal Design of Beams and Frames with Compliance Constraints, International Journal of Solids and Structures (to appear).

  3. Prager, W., andTaylor, J. E.,Problems of Optimal Structural Design, Journal of Applied Mechanics, Vol. 35, No. 1, 1968.

  4. Prager, W., andShield, R. T.,Optimal Design of Multi-Purpose Structures, International Journal of Solids and Structures, Vol. 4, No. 4, 1968.

  5. Marcal, P. V., andPrager, W.,A Method of Optimal Plastic Design, Journal de Mécanique, Vol. 3, No. 4, 1964.

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Communicated by W. Prager

The research reported in this paper was supported by the Air Force Flight Dynamics Laboratory, Wright-Patterson Air Force Base, Ohio, under Contract No. F33615-69-C-1826. The author is indebted to Professor W. Prager for his valuable advice and assistance in the preparation of this manuscript.

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Martin, J.B. Optimal design of elastic structures for multipurpose loading. J Optim Theory Appl 6, 22–40 (1970). https://doi.org/10.1007/BF00927038

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  • DOI: https://doi.org/10.1007/BF00927038

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