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Broadband topology optimization of three-dimensional structural-acoustic interaction with reduced order isogeometric FEM/BEM

Chen, Leilei, Lian, Haojie ORCID: https://orcid.org/0000-0002-1706-0216, Dong, Hao-Wen, Yu, Peng, Jiang, Shujie and Bordas, Stéphane P.A. ORCID: https://orcid.org/0000-0001-8634-7002 2024. Broadband topology optimization of three-dimensional structural-acoustic interaction with reduced order isogeometric FEM/BEM. Journal of Computational Physics 509 , 113051. 10.1016/j.jcp.2024.113051

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Abstract

This paper presents a model order reduction method to accelerate broadband topology optimization of structural-acoustic interaction systems by coupling Finite Element Methods and Boundary Element Methods. The finite element method is used for simulating thin-shell vibration and the boundary element method for exterior acoustic fields. Moreover, the finite element and boundary element methods are implemented in the context of isogeometric analysis, whereby the geometric accuracy and high order continuity of Kirchhoff-Love shells can be guaranteed and meantime no meshing is necessary. The topology optimization method takes continuous material interpolation functions in the density and bulk modulus, and adopts adjoint variable methods for sensitivity analysis. The reduced order model is constructed based on second-order Arnoldi algorithm combined with Taylor's expansions which eliminate the frequency dependence of the system matrices. Numerical results show that the proposed algorithm can significantly improve the efficiency of broadband topology optimization analysis.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Publisher: Elsevier
ISSN: 0021-9991
Date of Acceptance: 24 April 2024
Last Modified: 05 Jun 2024 09:45
URI: https://orca.cardiff.ac.uk/id/eprint/169309

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