Sound transmission through baffled multilayered curved shells using a transfer matrix method

The present work describes the use of a transfer matrix method to define the acoustic behavior of multilayered and periodic baffled curved shells consisting of a generic arrangement of homogeneous and heterogeneous periodic layers of various nature (fluid, solid, and poroelastic). The dynamic stiffn...

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Main Authors: A. Parrinello, W. Belgacem, S. Ghinet, N. Atalla
Format: Article
Language:English
Published: Frontiers Media S.A. 2022-10-01
Series:Frontiers in Mechanical Engineering
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fmech.2022.1034555/full
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author A. Parrinello
W. Belgacem
S. Ghinet
N. Atalla
author_facet A. Parrinello
W. Belgacem
S. Ghinet
N. Atalla
author_sort A. Parrinello
collection DOAJ
description The present work describes the use of a transfer matrix method to define the acoustic behavior of multilayered and periodic baffled curved shells consisting of a generic arrangement of homogeneous and heterogeneous periodic layers of various nature (fluid, solid, and poroelastic). The dynamic stiffness matrix of a unit cell is manipulated in order to derive the through-radius transfer matrix of a cylindrical periodic layer. Thus, the acoustic radiation or transmission of multilayered shells can be assessed. The blocked pressure field due to an incident plane wave is defined by taking into account the infinite rigid baffle by means of a two-dimensional boundary element model. Analytical expressions for the cylindrical acoustic impedances are utilized to define the coupling with the bounding fluid media. Furthermore, a one-dimensional windowing technique is adopted to account for the finite length of the shells. The proposed approach is validated by systematic comparison with a full finite-boundary element method.
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spelling doaj.art-5fb82edbe35245119f36a1ab49f3c4da2022-12-22T02:37:29ZengFrontiers Media S.A.Frontiers in Mechanical Engineering2297-30792022-10-01810.3389/fmech.2022.10345551034555Sound transmission through baffled multilayered curved shells using a transfer matrix methodA. Parrinello0W. Belgacem1S. Ghinet2N. Atalla3Department of mechanical Engineering, Université de Sherbrooke, Sherbrooke, QC, CanadaDepartment of mechanical Engineering, Université de Sherbrooke, Sherbrooke, QC, CanadaNational Research Council Canada, Ottawa, ON, CanadaDepartment of mechanical Engineering, Université de Sherbrooke, Sherbrooke, QC, CanadaThe present work describes the use of a transfer matrix method to define the acoustic behavior of multilayered and periodic baffled curved shells consisting of a generic arrangement of homogeneous and heterogeneous periodic layers of various nature (fluid, solid, and poroelastic). The dynamic stiffness matrix of a unit cell is manipulated in order to derive the through-radius transfer matrix of a cylindrical periodic layer. Thus, the acoustic radiation or transmission of multilayered shells can be assessed. The blocked pressure field due to an incident plane wave is defined by taking into account the infinite rigid baffle by means of a two-dimensional boundary element model. Analytical expressions for the cylindrical acoustic impedances are utilized to define the coupling with the bounding fluid media. Furthermore, a one-dimensional windowing technique is adopted to account for the finite length of the shells. The proposed approach is validated by systematic comparison with a full finite-boundary element method.https://www.frontiersin.org/articles/10.3389/fmech.2022.1034555/fulltransfer matrix methodwave finite elementcurved panelsheterogenous multilayered shellsdiffuse acoustic fieldporoelastic materials
spellingShingle A. Parrinello
W. Belgacem
S. Ghinet
N. Atalla
Sound transmission through baffled multilayered curved shells using a transfer matrix method
Frontiers in Mechanical Engineering
transfer matrix method
wave finite element
curved panels
heterogenous multilayered shells
diffuse acoustic field
poroelastic materials
title Sound transmission through baffled multilayered curved shells using a transfer matrix method
title_full Sound transmission through baffled multilayered curved shells using a transfer matrix method
title_fullStr Sound transmission through baffled multilayered curved shells using a transfer matrix method
title_full_unstemmed Sound transmission through baffled multilayered curved shells using a transfer matrix method
title_short Sound transmission through baffled multilayered curved shells using a transfer matrix method
title_sort sound transmission through baffled multilayered curved shells using a transfer matrix method
topic transfer matrix method
wave finite element
curved panels
heterogenous multilayered shells
diffuse acoustic field
poroelastic materials
url https://www.frontiersin.org/articles/10.3389/fmech.2022.1034555/full
work_keys_str_mv AT aparrinello soundtransmissionthroughbaffledmultilayeredcurvedshellsusingatransfermatrixmethod
AT wbelgacem soundtransmissionthroughbaffledmultilayeredcurvedshellsusingatransfermatrixmethod
AT sghinet soundtransmissionthroughbaffledmultilayeredcurvedshellsusingatransfermatrixmethod
AT natalla soundtransmissionthroughbaffledmultilayeredcurvedshellsusingatransfermatrixmethod