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Topology optimization of sound absorbing layer for the mid-frequency vibration of vibro-acoustic systems

Gao, Ruxin, Zhang, Yahui and Kennedy, David 2019. Topology optimization of sound absorbing layer for the mid-frequency vibration of vibro-acoustic systems. Structural and Multidisciplinary Optimization 59 (5) , pp. 1733-1746. 10.1007/s00158-018-2156-3

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Abstract

Due to the significant difference of dynamic properties between the fluid medium and the structure, when a vibro-acoustic system is subjected to a higher frequency excitation, it may typically exhibit mid-frequency behavior which involves different wavelength deformations and is very sensitive to the uncertainties of the system. This paper deals with optimized distribution of a sound absorbing layer for the mid-frequency vibration of vibro-acoustic systems by using hybrid boundary element analysis and statistical energy analysis. Based on the solid isotropic material with penalization approach, an artificial sound absorbing material model is suggested and the relative densities of the sound absorbing material are taken as design variables. The sound pressure level at a specified point in the acoustic cavity is to be minimized by distributing a given amount of sound absorbing material. An efficient direct differentiation scheme for the response sensitivity analysis is proposed. Then, the optimization problem is solved by using the method of moving asymptotes. A numerical example illustrates the validity and effectiveness of the present optimization model. Impact of the excitation frequency on optimized topology is also discussed.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Publisher: Springer Verlag (Germany)
ISSN: 1615-147X
Date of First Compliant Deposit: 5 February 2019
Date of Acceptance: 13 November 2018
Last Modified: 10 Mar 2020 19:54
URI: http://orca.cf.ac.uk/id/eprint/119230

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