Vibro-acoustic coupling characteristics of orthotropic L-shaped plate–cavity coupling system

The research object of this paper is the L-shaped plate–cavity coupling system established by a cuboid acoustic cavity with rigid-wall or impedance-wall and L-shaped plate with numerous elastic boundary conditions in view of the Fourier series method. The main research content of this paper is the v...

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Main Authors: Dongyan Shi, Wenhui Ren, Hong Zhang, Gai Liu, Qingshan Wang
Format: Article
Language:English
Published: SAGE Publishing 2020-12-01
Series:Journal of Low Frequency Noise, Vibration and Active Control
Online Access:https://doi.org/10.1177/1461348419860630
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author Dongyan Shi
Wenhui Ren
Hong Zhang
Gai Liu
Qingshan Wang
author_facet Dongyan Shi
Wenhui Ren
Hong Zhang
Gai Liu
Qingshan Wang
author_sort Dongyan Shi
collection DOAJ
description The research object of this paper is the L-shaped plate–cavity coupling system established by a cuboid acoustic cavity with rigid-wall or impedance-wall and L-shaped plate with numerous elastic boundary conditions in view of the Fourier series method. The main research content of this paper is the vibro-acoustic coupling characteristics. In this paper, the displacements admissible functions of the L-shaped plate are generally set as the sum of two cosines’ product and two polynomials. Sound pressure admissible functions of the cuboid acoustic cavity can be considered as the sum of three cosines’ product and six polynomials. The discontinuity of coupling system at all boundaries in the overall solution domain is overcome in this way. Through the energy principle and the Rayleigh-Ritz technology, it can be got that the solving matrix equation of the L-shaped plate-cavity coupling system. Based on verifying the great numerical characteristics of the L-shaped plate–cavity coupling model, they obtained both the frequency analysis and the displacement or sound pressure response analysis under the excitation, including a unit simple harmonic force or a unit monopole source. The advantages of this method are parameterization and versatility. In addition, some new achievements have been shown, based on various materials, boundary conditions, thicknesses, and orthotropic degrees, which may become the foundation for the future research.
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spelling doaj.art-6a9b81c7cca548809d7a0af12a85bbce2022-12-21T19:56:07ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462020-12-013910.1177/1461348419860630Vibro-acoustic coupling characteristics of orthotropic L-shaped plate–cavity coupling systemDongyan ShiWenhui RenHong ZhangGai LiuQingshan WangThe research object of this paper is the L-shaped plate–cavity coupling system established by a cuboid acoustic cavity with rigid-wall or impedance-wall and L-shaped plate with numerous elastic boundary conditions in view of the Fourier series method. The main research content of this paper is the vibro-acoustic coupling characteristics. In this paper, the displacements admissible functions of the L-shaped plate are generally set as the sum of two cosines’ product and two polynomials. Sound pressure admissible functions of the cuboid acoustic cavity can be considered as the sum of three cosines’ product and six polynomials. The discontinuity of coupling system at all boundaries in the overall solution domain is overcome in this way. Through the energy principle and the Rayleigh-Ritz technology, it can be got that the solving matrix equation of the L-shaped plate-cavity coupling system. Based on verifying the great numerical characteristics of the L-shaped plate–cavity coupling model, they obtained both the frequency analysis and the displacement or sound pressure response analysis under the excitation, including a unit simple harmonic force or a unit monopole source. The advantages of this method are parameterization and versatility. In addition, some new achievements have been shown, based on various materials, boundary conditions, thicknesses, and orthotropic degrees, which may become the foundation for the future research.https://doi.org/10.1177/1461348419860630
spellingShingle Dongyan Shi
Wenhui Ren
Hong Zhang
Gai Liu
Qingshan Wang
Vibro-acoustic coupling characteristics of orthotropic L-shaped plate–cavity coupling system
Journal of Low Frequency Noise, Vibration and Active Control
title Vibro-acoustic coupling characteristics of orthotropic L-shaped plate–cavity coupling system
title_full Vibro-acoustic coupling characteristics of orthotropic L-shaped plate–cavity coupling system
title_fullStr Vibro-acoustic coupling characteristics of orthotropic L-shaped plate–cavity coupling system
title_full_unstemmed Vibro-acoustic coupling characteristics of orthotropic L-shaped plate–cavity coupling system
title_short Vibro-acoustic coupling characteristics of orthotropic L-shaped plate–cavity coupling system
title_sort vibro acoustic coupling characteristics of orthotropic l shaped plate cavity coupling system
url https://doi.org/10.1177/1461348419860630
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