Optimal Design of Elastic Circular Sandwich Beams for Minimum Compliance

Abstract
Elastic circular sandwich beams are designed for minimum compliance and given total weight. To treat the problem in a more realistic manner, the beams are regarded as extensible. Examples are given for the optimal design of circular rings and semicircular arches with different end conditions. The calculated optimal compliance is compared with the corresponding compliance of a uniform beam with identical weight. The optimal design with stress bounds is also investigated for the ring problem.

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