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

被引：75
作者：
Chen, L. L. [1 ,2 ,3 ,4 ]
Lian, H. [1 ,2 ]
Natarajan, S. [5 ]
Zhao, W. [3 ]
Chen, X. Y. [1 ]
Bordas, S. P. A. [6 ,7 ]
机构：
[1] Huanghuai Univ, Sch Architectural & Civil Engn, Zhumadian 463003, Peoples R China
[2] Taiyuan Univ Technol, Key Lab In Situ Property Improving Min, Minist Educ, Taiyuan 030024, Peoples R China
[3] Huanghuai Univ, Henan Int Joint Lab Struct Mech & Computat Simula, Zhumadian 463003, Peoples R China
[4] Xinyang Normal Univ, Coll Architecture & Civil Engn, Xinyang, Peoples R China
[5] Indian Inst Technol Madras, Dept Mech Engn, Chennai 600036, Tamil Nadu, India
[6] Univ Luxembourg, Fac Sci Technol & Commun, Inst Computat Engn, Luxembourg, Luxembourg
[7] Cardiff Univ, Sch Engn, Cardiff CF24 3AA, Wales
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2022年 / 395卷
基金：
中国国家自然科学基金;
关键词：
Isogeometric boundary element method; Sound-absorbing materials; Series expansion; SOAR; Topology optimization; SHAPE OPTIMIZATION; DYNAMICAL-SYSTEMS; INTEGRAL-EQUATION; DESIGN; IMPLEMENTATION; ATTENUATION; MUFFLERS; SURFACES; SCHEME; BEM;
D O I：
10.1016/j.cma.2022.114997
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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. (C) 2022 Elsevier B.V. All rights reserved.
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页数：23
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