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Bi-directional Evolutionary Topology Optimization for Multiphysics Problems with Frequency Response Minimization

Vicente, W. M.; Picelli, R.; Pavanello, R.;

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This work presents a topology optimization for frequency responses in multiphysics problems involving fluid-structure interaction. A mixed formulation (u/p) is used, in which the pressure and displacement are governed by Helmholtz equation and the elasticity equation, respectively. The optimization method used in this work is the Bi-directional Evolutionary Structural Optimization (BESO), which consists in a successive elimination and replacement of elements in the design domain. The feasible space of solution is defined initially and through a sensitivity analysis of the frequency response functions the evolutionary algorithm remove or add solid elements. The sensitivity analysis is described for the dynamic problems and the sensitivity numbers are evaluated for several conditions. The formulation implemented in FORTRAN aims to determine the optimum topology in order to minimize the displacement and/or pressure in specific parts of the system for a certain range of frequency excitation. A number of final topologies for vibroacoustic problems are shown, as well as their intermediary topologies and evolutionary history. The results show that this methodology can be applied to this type of problem with good efficiency.

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Palavras-chave: Frequency Response Functions, Topology Optimization, BESO Method,

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DOI: 10.5151/meceng-wccm2012-20131

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Como citar:

Vicente, W. M.; Picelli, R.; Pavanello, R.; "Bi-directional Evolutionary Topology Optimization for Multiphysics Problems with Frequency Response Minimization", p. 4846-4861 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-20131

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