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Optimal design of elastic structures for multipurpose loading

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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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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).

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