Anti-optimization technique for structural design under load uncertainties. (English) Zbl 0954.74044

Lombardi, Marco; Haftka, Raphael T.

Comput. Methods Appl. Mech. Eng. 157, No. 1-2, 19-31 (1998).

Summary: We describe a technique for design under uncertainty based on the worst-case-scenario technique of anti-optimization. When anti-optimization is integrated with structural optimization, we create a nested optimization problem, which can be very expensive to solve. The paper demonstrates the use of a technique alternating between optimization and anti-optimization which alleviates the computational burden. The method is applied to the optimization of a simply supported laminate composite, to the optimization of a simple beam problem with nonlinear objective function, and finally to the optimization of a more complex real-life composite sandwich structure.

MSC:

74P05	Compliance or weight optimization in solid mechanics
74E30	Composite and mixture properties
74K20	Plates
74K10	Rods (beams, columns, shafts, arches, rings, etc.)

Keywords:

anti-optimization; structural optimization; simply supported laminate composite; simple beam; nonlinear objective function; composite sandwich structure

Software:

Slatec

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