Study on Acoustic Characteristics of a Flexible Plate Strongly Coupled with Rectangular Cavity

This paper presents a method to predict the acoustic characteristics and steady-state responses of a flexible plate strongly coupled with rectangular cavity based on energy principle theory and Legendre polynomial series. First, the displacement of the plate and the sound pressure in the cavity are...

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Main Authors: Jinlong Liao, Haichao Zhu, Jiuxiao Hou, Suwei Yuan
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2021/5565136
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author Jinlong Liao
Haichao Zhu
Jiuxiao Hou
Suwei Yuan
author_facet Jinlong Liao
Haichao Zhu
Jiuxiao Hou
Suwei Yuan
author_sort Jinlong Liao
collection DOAJ
description This paper presents a method to predict the acoustic characteristics and steady-state responses of a flexible plate strongly coupled with rectangular cavity based on energy principle theory and Legendre polynomial series. First, the displacement of the plate and the sound pressure in the cavity are constructed in the form of two-dimensional and three-dimensional Legendre polynomial series, respectively. The unknown expansion coefficients are obtained using the Rayleigh–Ritz technique based on the energy expressions for the strongly coupled plate-cavity system. The accuracy, convergence, and efficiency of the present method are verified by comparing with the results available in the FEM and literature. Finally, the effects of the structural boundary conditions, cavity depth, and structural length-width ratio on the coupling natural frequency and the steady-state responses under three excitation conditions are analyzed.
format Article
id doaj-art-868aa3e53eae44e6b60fdf5af4ff6f7b
institution Kabale University
issn 1070-9622
1875-9203
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-868aa3e53eae44e6b60fdf5af4ff6f7b2025-02-03T01:10:54ZengWileyShock and Vibration1070-96221875-92032021-01-01202110.1155/2021/55651365565136Study on Acoustic Characteristics of a Flexible Plate Strongly Coupled with Rectangular CavityJinlong Liao0Haichao Zhu1Jiuxiao Hou2Suwei Yuan3National Key Laboratory on Ship Vibration & Noise, Institute of Noise & Vibration, Naval University of Engineering, Wuhan 430033, ChinaNational Key Laboratory on Ship Vibration & Noise, Institute of Noise & Vibration, Naval University of Engineering, Wuhan 430033, ChinaNational Key Laboratory on Ship Vibration & Noise, Institute of Noise & Vibration, Naval University of Engineering, Wuhan 430033, ChinaNational Key Laboratory on Ship Vibration & Noise, Institute of Noise & Vibration, Naval University of Engineering, Wuhan 430033, ChinaThis paper presents a method to predict the acoustic characteristics and steady-state responses of a flexible plate strongly coupled with rectangular cavity based on energy principle theory and Legendre polynomial series. First, the displacement of the plate and the sound pressure in the cavity are constructed in the form of two-dimensional and three-dimensional Legendre polynomial series, respectively. The unknown expansion coefficients are obtained using the Rayleigh–Ritz technique based on the energy expressions for the strongly coupled plate-cavity system. The accuracy, convergence, and efficiency of the present method are verified by comparing with the results available in the FEM and literature. Finally, the effects of the structural boundary conditions, cavity depth, and structural length-width ratio on the coupling natural frequency and the steady-state responses under three excitation conditions are analyzed.http://dx.doi.org/10.1155/2021/5565136
spellingShingle Jinlong Liao
Haichao Zhu
Jiuxiao Hou
Suwei Yuan
Study on Acoustic Characteristics of a Flexible Plate Strongly Coupled with Rectangular Cavity
Shock and Vibration
title Study on Acoustic Characteristics of a Flexible Plate Strongly Coupled with Rectangular Cavity
title_full Study on Acoustic Characteristics of a Flexible Plate Strongly Coupled with Rectangular Cavity
title_fullStr Study on Acoustic Characteristics of a Flexible Plate Strongly Coupled with Rectangular Cavity
title_full_unstemmed Study on Acoustic Characteristics of a Flexible Plate Strongly Coupled with Rectangular Cavity
title_short Study on Acoustic Characteristics of a Flexible Plate Strongly Coupled with Rectangular Cavity
title_sort study on acoustic characteristics of a flexible plate strongly coupled with rectangular cavity
url http://dx.doi.org/10.1155/2021/5565136
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AT haichaozhu studyonacousticcharacteristicsofaflexibleplatestronglycoupledwithrectangularcavity
AT jiuxiaohou studyonacousticcharacteristicsofaflexibleplatestronglycoupledwithrectangularcavity
AT suweiyuan studyonacousticcharacteristicsofaflexibleplatestronglycoupledwithrectangularcavity