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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. ; Bordas, S.P.A.

Computer methods in applied mechanics and engineering, 2022-05, Vol.395, p.114997, Article 114997 [Periódico revisado por pares]

Amsterdam: Elsevier B.V

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Título:
Multi-frequency acoustic topology optimization of sound-absorption materials with isogeometric boundary element methods accelerated by frequency-decoupling and model order reduction techniques
Autor: Chen, L.L. ; Lian, H. ; Natarajan, S. ; Zhao, W. ; Chen, X.Y. ; Bordas, S.P.A.
Assuntos: Absorption ; Algorithms ; Boundary conditions ; Boundary element method ; Decoupling ; Helmholtz equations ; Isogeometric boundary element method ; Mathematical analysis ; Model reduction ; Series expansion ; SOAR ; Sound ; Sound transmission ; Sound-absorbing materials ; System effectiveness ; Topology optimization
É parte de: Computer methods in applied mechanics and engineering, 2022-05, Vol.395, p.114997, Article 114997
Descrição: 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. •Series expansions are utilized for frequency decoupling of acoustic BEM.•The model order is reduced by the second-order Arnoldi (SOAR) algorithm.•The isogeometric BEM is employed to integrate CAD and numerical analysis.•Multi-frequency topology optimization is performed with the isogeometric BEM.
Editor: Amsterdam: Elsevier B.V
Idioma: Inglês

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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. ; Bordas, S.P.A.

Amsterdam: Elsevier B.V

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