The University of Southampton
University of Southampton Institutional Repository

Combining the 2.5D FE-BE method and the TMM method to study the vibro-acoustics of acoustically treated rib-stiffened panels

Combining the 2.5D FE-BE method and the TMM method to study the vibro-acoustics of acoustically treated rib-stiffened panels
Combining the 2.5D FE-BE method and the TMM method to study the vibro-acoustics of acoustically treated rib-stiffened panels

This paper is concerned with the prediction of the vibro-acoustic behavior of rib-stiffened panels treated with multiple layers of porous materials. The acoustically treated rib-stiffened panels are assumed to be uniform and infinitely long in one direction (the longitudinal direction) but the cross-section can have an arbitrary and often complicated shape. Although the two-and-half dimensional structural finite element method (2.5D FEM) and the two-and-half dimensional acoustic boundary element method (2.5D BEM) may be combined to perform the vibro-acoustic prediction, the presence of the multiple layers of acoustic treatment often makes the prediction too time-consuming. More efficient methods are required for such structures and the aim of this paper is to propose such a method. The rib-stiffened panel and the fluid domain containing the incident and reflected sound waves are modelled using 2.5D FEM-BEM while the acoustic treatment layer and the fluid domain containing the transmitted sound waves are dealt with, approximately, using the transfer matrix method (TMM). The coupling of TMM and 2.5D FEM-BEM is formulated in detail. Since the acoustically treated panel is assumed to be flat and baffled, the 2.5D BEM is based on the Rayleigh integral in the wavenumber domain. Meanwhile, the TMM is based on a two-dimensional Fourier transform which implies that the porous layers also extend to cover the baffle; the validity of this assumption is explored. The accuracy and efficiency of the method is compared with a full 2.5D FE-BE method for a homogeneous plate with attached layers of absorbent material. It is shown that the method proposed in this paper can reduce calculation time by about a factor of three compared with the full 2.5D FE-BE method. The proposed method is then applied to study the sound transmission loss (STL) of a typical rib-stiffened panel from a train carriage which is acoustically treated with different porous material layers, demonstrating that the design of the acoustic treatment can have a significant effect on the STL of the panel.

2.5D finite-boundary element method, Acoustic treatment layer, Rib-stiffened panels, Sound transmission, Transfer matrix method
0022-460X
Deng, Tiesong
a9f76f45-d4a8-47b2-a660-2417ff51782c
Li, Muxiao
d54d14ab-0483-43be-90d1-735b16881b29
Zhang, Shumin
0d3d8991-4de1-422f-ac93-9f9a6c3301b5
Sheng, Xiaozhen
8545d9d7-ff2d-41a5-ac72-7a94276ef90f
Thompson, David
bca37fd3-d692-4779-b663-5916b01edae5
Deng, Tiesong
a9f76f45-d4a8-47b2-a660-2417ff51782c
Li, Muxiao
d54d14ab-0483-43be-90d1-735b16881b29
Zhang, Shumin
0d3d8991-4de1-422f-ac93-9f9a6c3301b5
Sheng, Xiaozhen
8545d9d7-ff2d-41a5-ac72-7a94276ef90f
Thompson, David
bca37fd3-d692-4779-b663-5916b01edae5

Deng, Tiesong, Li, Muxiao, Zhang, Shumin, Sheng, Xiaozhen and Thompson, David (2021) Combining the 2.5D FE-BE method and the TMM method to study the vibro-acoustics of acoustically treated rib-stiffened panels. Journal of Sound and Vibration, 493, [115825]. (doi:10.1016/j.jsv.2020.115825).

Record type: Article

Abstract

This paper is concerned with the prediction of the vibro-acoustic behavior of rib-stiffened panels treated with multiple layers of porous materials. The acoustically treated rib-stiffened panels are assumed to be uniform and infinitely long in one direction (the longitudinal direction) but the cross-section can have an arbitrary and often complicated shape. Although the two-and-half dimensional structural finite element method (2.5D FEM) and the two-and-half dimensional acoustic boundary element method (2.5D BEM) may be combined to perform the vibro-acoustic prediction, the presence of the multiple layers of acoustic treatment often makes the prediction too time-consuming. More efficient methods are required for such structures and the aim of this paper is to propose such a method. The rib-stiffened panel and the fluid domain containing the incident and reflected sound waves are modelled using 2.5D FEM-BEM while the acoustic treatment layer and the fluid domain containing the transmitted sound waves are dealt with, approximately, using the transfer matrix method (TMM). The coupling of TMM and 2.5D FEM-BEM is formulated in detail. Since the acoustically treated panel is assumed to be flat and baffled, the 2.5D BEM is based on the Rayleigh integral in the wavenumber domain. Meanwhile, the TMM is based on a two-dimensional Fourier transform which implies that the porous layers also extend to cover the baffle; the validity of this assumption is explored. The accuracy and efficiency of the method is compared with a full 2.5D FE-BE method for a homogeneous plate with attached layers of absorbent material. It is shown that the method proposed in this paper can reduce calculation time by about a factor of three compared with the full 2.5D FE-BE method. The proposed method is then applied to study the sound transmission loss (STL) of a typical rib-stiffened panel from a train carriage which is acoustically treated with different porous material layers, demonstrating that the design of the acoustic treatment can have a significant effect on the STL of the panel.

Text
Combining the 2.5D FE-BE method and the TMM method - Accepted Manuscript
Download (1MB)

More information

Accepted/In Press date: 1 November 2020
e-pub ahead of print date: 7 November 2020
Published date: 17 February 2021
Additional Information: Funding Information: This work was supported by the Ministry of Science and Technology of China ( 2016YFE0205200 ). Funding Information: This work was supported by the Ministry of Science and Technology of China (2016YFE0205200). Publisher Copyright: © 2020
Keywords: 2.5D finite-boundary element method, Acoustic treatment layer, Rib-stiffened panels, Sound transmission, Transfer matrix method

Identifiers

Local EPrints ID: 445208
URI: http://eprints.soton.ac.uk/id/eprint/445208
ISSN: 0022-460X
PURE UUID: 5c4c7ad5-80af-4fd6-b5ba-5841b34c7ef2
ORCID for David Thompson: ORCID iD orcid.org/0000-0002-7964-5906

Catalogue record

Date deposited: 25 Nov 2020 17:31
Last modified: 30 Oct 2023 05:32

Export record

Altmetrics

Contributors

Author: Tiesong Deng
Author: Muxiao Li
Author: Shumin Zhang
Author: Xiaozhen Sheng
Author: David Thompson ORCID iD

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×