A two-and-half dimensional finite element/boundary element model for predicting the vibro-acoustic behaviour of panels with poro-elastic media
A two-and-half dimensional finite element/boundary element model for predicting the vibro-acoustic behaviour of panels with poro-elastic media
Solid panels with additional poro-elastic materials are widely used in engineering mainly for sound insulation. In many cases, the panels are constructed in such a way that they can be idealised to be infinitely long and uniform in one direction, forming a so-called two-and-a-half dimensional (2.5D) structure. Although the 2.5D finite element and boundary element methods (FEM-BEM) are particularly suitable for predicting the vibro-acoustic behaviour of such structures, up to now the presence of poro-elastic media have not been adequately considered. In this paper a 2.5D FE-BE vibro-acoustic model is presented which accounts for solids, fluids and poro-elastic media. The poro-elastic media are modelled using the 2.5D FE approach based on the mixed displacement pressure formulation of Biot's theory. The solids are also modelled using the 2.5D FE method but based on the linear theory of elasticity. The internal fluids are modelled using the 2.5D FE method as well. For a flat panel, the external fluid on both sides of the panel can be modelled using the 2.5 D BE method based on the Rayleigh integral. The coupling between the various sub-models is derived in detail. The accuracy of the model is demonstrated by applying it to simple multi-layered structures for which solutions can be produced using other well established methods. It is demonstrated that the elasticity of the solid frame of a porous medium has a great influence on the vibro-acoustics of a structure containing the porous material. The method is then applied to investigate the sound transmission loss (STL) of a typical railway vehicle floor structure. Results show that STL can be greatly improved by proper arrangement of porous material layers between
the interior wooden floor and the outer extrusion; however, the load bearing supporting beams may significantly reduce the benefit of the porous material layers.
2.5D boundary element method, 2.5D finite element method, Poro-elastic panel, Transmission loss
Deng, Tiesong
a9f76f45-d4a8-47b2-a660-2417ff51782c
Sheng, Xiaozhen
4b778204-a77a-4999-9919-38cd03e540db
Jeong, Hongseok
69691735-977f-41b9-9cc4-f1006929bbda
Thompson, David
bca37fd3-d692-4779-b663-5916b01edae5
4 August 2021
Deng, Tiesong
a9f76f45-d4a8-47b2-a660-2417ff51782c
Sheng, Xiaozhen
4b778204-a77a-4999-9919-38cd03e540db
Jeong, Hongseok
69691735-977f-41b9-9cc4-f1006929bbda
Thompson, David
bca37fd3-d692-4779-b663-5916b01edae5
Deng, Tiesong, Sheng, Xiaozhen, Jeong, Hongseok and Thompson, David
(2021)
A two-and-half dimensional finite element/boundary element model for predicting the vibro-acoustic behaviour of panels with poro-elastic media.
Journal of Sound and Vibration, 505, [116147].
(doi:10.1016/j.jsv.2021.116147).
Abstract
Solid panels with additional poro-elastic materials are widely used in engineering mainly for sound insulation. In many cases, the panels are constructed in such a way that they can be idealised to be infinitely long and uniform in one direction, forming a so-called two-and-a-half dimensional (2.5D) structure. Although the 2.5D finite element and boundary element methods (FEM-BEM) are particularly suitable for predicting the vibro-acoustic behaviour of such structures, up to now the presence of poro-elastic media have not been adequately considered. In this paper a 2.5D FE-BE vibro-acoustic model is presented which accounts for solids, fluids and poro-elastic media. The poro-elastic media are modelled using the 2.5D FE approach based on the mixed displacement pressure formulation of Biot's theory. The solids are also modelled using the 2.5D FE method but based on the linear theory of elasticity. The internal fluids are modelled using the 2.5D FE method as well. For a flat panel, the external fluid on both sides of the panel can be modelled using the 2.5 D BE method based on the Rayleigh integral. The coupling between the various sub-models is derived in detail. The accuracy of the model is demonstrated by applying it to simple multi-layered structures for which solutions can be produced using other well established methods. It is demonstrated that the elasticity of the solid frame of a porous medium has a great influence on the vibro-acoustics of a structure containing the porous material. The method is then applied to investigate the sound transmission loss (STL) of a typical railway vehicle floor structure. Results show that STL can be greatly improved by proper arrangement of porous material layers between
the interior wooden floor and the outer extrusion; however, the load bearing supporting beams may significantly reduce the benefit of the porous material layers.
Text
Tiesong_Deng_JSV_Revised_Manuscript_4
- Accepted Manuscript
More information
Accepted/In Press date: 15 April 2021
e-pub ahead of print date: 20 April 2021
Published date: 4 August 2021
Additional Information:
Funding Information:
This work is funded by the National Key R&D Program of China ( 2016YFE0205200 ) and the National Natural Science Foundation of China ( U1834201 ).
Publisher Copyright:
© 2021 Elsevier Ltd
Keywords:
2.5D boundary element method, 2.5D finite element method, Poro-elastic panel, Transmission loss
Identifiers
Local EPrints ID: 448702
URI: http://eprints.soton.ac.uk/id/eprint/448702
ISSN: 0022-460X
PURE UUID: bd3b5736-5aef-4ac7-a4ac-8044f840d450
Catalogue record
Date deposited: 30 Apr 2021 16:33
Last modified: 17 Mar 2024 06:31
Export record
Altmetrics
Contributors
Author:
Tiesong Deng
Author:
Xiaozhen Sheng
Author:
Hongseok Jeong
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
