Finite-Element Method for Calculating the Sound Field in a Tank with Impedance Boundaries

Author:

Li Qi123,Xing Junhua123,Tang Rui123ORCID,Zhang Yiming123

Affiliation:

1. Acoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, China

2. Key Laboratory of Marine Information Acquisition and Security (Harbin Engineering University), Ministry of Industry and Information Technology, Beijing, China

3. College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China

Abstract

In this paper, a finite-element method for calculating the sound field in a water tank with impedance boundaries is proposed based on the theory of standing waves in a tube. The equivalent acoustic impedance of the tank walls is calculated by establishing a three-dimensional axisymmetric virtual standing-wave tube in finite-element software, whereupon boundaries with that impedance are used as the tank boundaries. Since the impedance is the property of the material itself, the calculated impedance value can be used for the calculation of the three-dimensional sound field. The sound field due to a point source in a glass tank is calculated using the proposed method, the correctness of which is assessed experimentally. By comparing the experimental and numerical results, the proposed method is shown to be correct.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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