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Acoustic Shape Optimization Based on Isogeometric Wideband Fast Multipole Boundary Element Method with Adjoint Variable Method

CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230027, P. R. China

E-mail Address: wjie12@mail.ustc.edu.cn

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Changjun Zheng

Institute of Sound and Vibration Research, Hefei University of Technology, Hefei, Anhui 230009, P. R. China

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Leilei Chen

College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, Henan 464000, P. R. China

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, and

Haibo Chen

CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230027, P. R. China

E-mail Address: hbchen@ustc.edu.cn

Corresponding author.

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https://doi.org/10.1142/S2591728520500152Cited by:18 (Source: Crossref)

This article is part of the issue:

Special Issue on Recent Advances in Finite and Boundary Element Methods
Edited by H. Chen, W. Jiang, S. Marburg and H. Wu

Abstract

A shape optimization approach based on isogeometric wideband fast multipole boundary element method (IGA WFMBEM) in 2D acoustics is developed in this study. The key treatment is shape sensitivity analysis by using the adjoint variable method under isogeometric analysis (IGA) conditions. A set of efficient parameters of the wideband fast multipole method has been identified for IGA boundary element method. Shape optimization is performed by applying the method of moving asymptotes. IGA WFMBEM is validated through an acoustic scattering example. The proposed optimization approach is tested on a sound barrier and two multiple structures to demonstrate its potential for engineering problems.

Keywords:

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