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