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Published on: May 21, 2016
A boundary element eigensolver for acoustic resonances in cavities with impedance boundary conditions
Cheng Wan1, Chang-Jun Zheng1, Chuan-Xing Bi1
1Institute of Sound and Vibration Research, Hefei University of Technology, Hefei, Anhui 230009, People's Republic of Chinawancheng@mail.hfut.edu.cn, cjzheng@hfut.edu.cn, cxbi@hfut.edu.cn, ybzhang@hfut.edu.cn.
Abstract:
This letter presents a boundary element scheme for analysis of acoustic resonances in cavities with impedance boundary conditions. The resultant eigenproblem, which is nonlinear and difficult to solve directly, is transformed to a linear one through a contour integral method. A variant-parameter scheme based on the Burton-Miller combined formulation is given to identify spurious eigenfrequencies, which are complex and similar to true eigenfrequencies. A numerical example is used to show the accuracy and effectiveness of the proposed method.
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