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Multi-frequency acoustic topology optimization of sound-absorption materials with isogeometric boundary element methods accelerated by frequency-decoupling and model order reduction techniques

Chen, L. L., Lian, H., Natarajan, S., Zhao, W., Chen, X. Y. and Bordas, S. P. A. 2022. Multi-frequency acoustic topology optimization of sound-absorption materials with isogeometric boundary element methods accelerated by frequency-decoupling and model order reduction techniques. Computer Methods in Applied Mechanics and Engineering 395 , 114997. 10.1016/j.cma.2022.114997

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Abstract

The paper presents a novel approach for multi-frequency acoustic topology optimization of sound-absorption materials. In this work, the isogeometric boundary element method based on subdivision surfaces is used to solve Helmholtz equations. To avoid time-consuming frequency sweep, we adopt a series expansion method to decouple the frequency-dependent terms from the integrand in the boundary element method, including the terms associated with the impedance boundary conditions that were introduced to model the absorption materials. Moreover, the second-order Arnoldi (SOAR) approach is employed to reduce the order of the systems. Three dimensional numerical examples were given to demonstrate the effectiveness of the proposed algorithm.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Publisher: Elsevier
ISSN: 0045-7825
Date of Acceptance: 9 April 2022
Last Modified: 03 Aug 2022 01:24
URI: https://orca.cardiff.ac.uk/id/eprint/149914

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