Optimal design of beams for prescribed compliance under alternative loads
A global optimality condition is established for minimum-weight design of sandwich beams with elementwise constant cross section for prescribed compliances in alternative states of loading. This condition requires a nonnegative linear combination of the mean-square curvatures of an element in the considered states of loading to have the same value for all elements. The use of the condition in the determination of the minimum-weight design is illustrated by examples.
KeywordsOptimal Design Alternative State Sandwich Beam Minimum Potential Energy Nonnegative Constant
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- 1.Sheu, C. Y., andPrager, W.,Minimum-Weight Design with Piecewise Constant Specific Stiffness, Journal of Optimization Theory and Applications, Vol. 2, No. 3, 1968.Google Scholar
- 2.Prager, W., andShield, R. T.,Optimal Design of Multi-Purpose Structures, International Journal of Solids and Structures, Vol. 4, No. 3, 1968.Google Scholar