Finite-Element Method for Calculating the Sound Field in a Tank with Impedance Boundaries
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 sta...
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2020-01-01
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2020/6794760 |
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doaj-c07c9f130db14433a1cec66d5c1c566a2020-11-25T02:33:26ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/67947606794760Finite-Element Method for Calculating the Sound Field in a Tank with Impedance BoundariesQi Li0Junhua Xing1Rui Tang2Yiming Zhang3Acoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, ChinaAcoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, ChinaAcoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, ChinaAcoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, ChinaIn 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.http://dx.doi.org/10.1155/2020/6794760 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Qi Li Junhua Xing Rui Tang Yiming Zhang |
spellingShingle |
Qi Li Junhua Xing Rui Tang Yiming Zhang Finite-Element Method for Calculating the Sound Field in a Tank with Impedance Boundaries Mathematical Problems in Engineering |
author_facet |
Qi Li Junhua Xing Rui Tang Yiming Zhang |
author_sort |
Qi Li |
title |
Finite-Element Method for Calculating the Sound Field in a Tank with Impedance Boundaries |
title_short |
Finite-Element Method for Calculating the Sound Field in a Tank with Impedance Boundaries |
title_full |
Finite-Element Method for Calculating the Sound Field in a Tank with Impedance Boundaries |
title_fullStr |
Finite-Element Method for Calculating the Sound Field in a Tank with Impedance Boundaries |
title_full_unstemmed |
Finite-Element Method for Calculating the Sound Field in a Tank with Impedance Boundaries |
title_sort |
finite-element method for calculating the sound field in a tank with impedance boundaries |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2020-01-01 |
description |
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. |
url |
http://dx.doi.org/10.1155/2020/6794760 |
work_keys_str_mv |
AT qili finiteelementmethodforcalculatingthesoundfieldinatankwithimpedanceboundaries AT junhuaxing finiteelementmethodforcalculatingthesoundfieldinatankwithimpedanceboundaries AT ruitang finiteelementmethodforcalculatingthesoundfieldinatankwithimpedanceboundaries AT yimingzhang finiteelementmethodforcalculatingthesoundfieldinatankwithimpedanceboundaries |
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1715452181449015296 |