Journal
FINITE ELEMENTS IN ANALYSIS AND DESIGN
Volume 106, Issue -, Pages 56-64Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.finel.2015.07.010
Keywords
Topology optimization; BESO method; Acoustic structure interaction; Natural frequency; Free vibration
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Funding
- FAPESP (S ao Paulo Research Foundation) [2011/09730-6, 2013/08293-7, 2013/20022-9]
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This paper aims to extend the evolutionary methods of topology optimization to free vibration problems of acoustic-structure systems. The interacting fluid and structure fields are governed by the acoustic wave equation and the linear elasticity, respectively. Both domains are solved with the Unite element method. The coupling conditions are the equilibrium and kinematic compatibility at the acousticstructure interfaces. The proposed bi-directional evolutionary structural optimization (BESO) method seeks to maximize the first natural frequencies of the acoustic-structural model by switching elements into solid, fluid or void condition, It allows the acoustic-structure boundaries to be modeled and modified straightforwardly, addressing design-dependent loads on the topology optimization problem with simple finite element formulations. The proposed methodology extension is justified by various possible applications to free vibration of acoustic-structure systems such as tanks/reservoirs, acousticstructural devices, passengers compartments in automobiles and aircrafts and pipelines. Numerical results show that the evolutionary methods can be applied to this kind of multiphysics problem effectively and efficiently. (C) 2015 Elsevier B.V. All rights reserved
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