Multiobjective topology optimization with stress and strain energy criteria using the SESO method and a Multicriteria Tournament Decision

Abstract This article aims to explore the application of an evolutionary optimization technique for multiobjective optimization problem using as criteria the minimization of the Von Mises maximum stress and minimization of the maximum growth of the structure’s internal strain energy. To evaluate the global effect on the optimal design setting by the removal from the structure of inefficient material, regions in which the magnitude of stress or strain energy is relatively small, a goal weighting scheme is adopted, whereby the weight factors emphasize and balance the stress and strain energy criteria. The global criterion method for multiobjective optimization and the Pareto optimal concept were also considered in this study. Thus, contribution is made to the study of these two methods in the structural optimization procedure using linear static analysis via Finite Element Method. In addition, with the discrete approximation of the Pareto front, the choice of the preferred Pareto-optimal solution is performed using the Multicriteria Tournament Decision. A number of examples demonstrates the capabilities of the proposed method to solve structural design problems using multiobjective optimization.

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