and Applied Mechanics
56, 4, pp. 961-976, Warsaw 2018
DOI: 10.15632/jtam-pl.56.4.961
Effects of viscoelastic and porous materials on sound transmission of multilayer systems
unwanted noise in the medium and high frequencies in many applications such as building
and transport industry. In this paper, the sound transmission of multilayer systems is stu-
died using the Transfer Matrix Method (TMM). The studied multi-layered panels include
elastic, viscoelastic and porous materials. Several configurations of multilayer systems are
studied, and their corresponding transmission loss TL is computed. Also, the effects of po-
rous material characteristics are studied to evaluate the impact of each parameter.
References
Abid M., Abbes J.D., Chazot L., Hammami M.A., Hamdi, Haddar M., 2012, Acoustic
response of a multilayer panel with viscoelastic material, International Journal of Acoustics and
Vibration, 17, 2, 82-89
Allard J.F., Atalla N., 2009, Propagation of Sound in Porous Media. Modeling Sound Absor-
bing Materials, Second Edition, John Wiley & Sons
Allard J.F, Champoux Y., Depollier C., 1987, Modelization of layered sound absorbing
materials with transfer matrices, Journal of the Acoustical Society of America, 82, 1792-1796
Allard J.F., Depollier C., Rebillard P., Lauriks W., Cops A., 1989, Inhomogeneous Biot
waves in layered media, Journal of Applied Physics, 66, 2278-2284
Atalla N., Panneton R., Debergue P., 1998, A mixed displacement pressure formulation for
poroelastic materials, Journal of the Acoustical Society of America, 104, 1444-1452
Biot M.A., 1956, The theory of propagation of elastic waves in a fluid satured porous solid,
Journal of the Acoustical Society of America, 28, 68-191
Folds D.L., Loggins D.C., 1977, Transmission and reflection of ultrasonic waves in layered
media, Journal of the Acoustical Society of America, 62, 1102-1109
Ghinet S., Atalla N., Haisam O., 2005, The transmission loss of curved laminates and sandwich
composite panels, Journal of the Acoustical Society of America, 118, 774
Lee C.M, Xu Y., 2009, A modified transfer matrix method for prediction of transmission loss of
multilayer acoustic materials, Journal of Sound and Vibration, 326, 290-301
London A., 1950, Transmission of reverberant sound through double walls, Journal of the Acous-
tical Society of America, 220-270
Munjal M.L., 1993, Response of a multi-layered infinite plate to an oblique plane wave by means
of transfer matrix, Journal of Sound Vibration, 162, 2, 333-343
Mueller P., Tschudl H., 1989, Modeling of flat multi-layer acoustic structures with transfer
matrices, SAE Technical Paper, 111-115
Sastry J.S., Munjal M.L., 1995, A transfer matrix approach for evaluation of the response of a
multi-layer infinite plate to a two-dimensional pressure excitation, Journal of Sound and Vibration, 182, 1, 109-128
Soula M., Chevalier Y., 1998, The fractional derivative in rheology of polymers – application
to the elastic and viscoelastic behavior of linear and nonlinear elastomers, ESAIM Proceedings, 5, 87-98
Szabo T.L., 2000, A model for longitudinal and shear wave propagation in viscoelastic media,
Journal of the Acoustical Society of America, 107, 5, 2437-2446
Tanneau O., 2004, Modélisation de panneaux d’isolation aéronautiques – couplages poroélastique, élastodynamiques et acoustiques par méthodes analytiques, FEM et BEM: Phd Thesis, Université Pierre & Marie Curie, Paris VI
Tanneau O., Casimir J.B., Lamary P., 2006, Optimization of multilayered panels with poro-
elastic components for an acoustical transmission objective, Journal of the Acoustical Society of
America, 120, 3, 1227-1238
Thomson W.T., 1950, Transmission of elastic waves through a stratified solid medium, Journal
of Applied Physics, 21, 2, 89-93