Determination of scattering frequencies for two-dimensional acoustic problems using boundary element method

Author:

Gao Haifeng12ORCID,Zheng Changjun3,Qiu Xiaolai2,Xu Huidong1,Matsumoto Toshiro4

Affiliation:

1. Institute of Applied Mechanics, College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan, P.R. China

2. ChaoDa Valves Group Co., Ltd, Wenzhou, P.R. China

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

4. Department of Mechanical System, Nagoya University, Nagoya, Japan

Abstract

This paper presents a numerical approach for the determination of scattering frequencies of two-dimensional acoustic exterior resonance problems using boundary element method combined with a contour integral method. Since the solving range is surrounded by a Jordan curve in the complex plane, the complex eigenvalues can be acquired through evaluating the contour integral along the Jordan curve using the contour integral method. Complex scattering frequencies are directly extracted by the proposed approach, and their corresponding eigenmodes are also presented by evaluating the vibration amplitudes of internal points. The behaviors of the fictitious eigenfrequencies for unbounded domain are also studied. Numerical examples demonstrate the effectiveness of the approach for the resonance problems of unbounded domains.

Funder

Applied Basic Research Program of Shanxi Province of China

Wenzhou public welfare science and technology project project

National Natural Science Foundation of China

Natural Science Foundation of Zhejiang Province

Publisher

SAGE Publications

Subject

Mechanical Engineering,Geophysics,Mechanics of Materials,Acoustics and Ultrasonics,Building and Construction,Civil and Structural Engineering

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