On the Acoustical Absorption of a Sandwich Plates with Perforated Material by the Transfer Matrix Method

R. Nasri; M. Soula

doi:10.15866/irece.v6i6.8203

On the Acoustical Absorption of a Sandwich Plates with Perforated Material by the Transfer Matrix Method

R. Nasri^(1*), M. Soula⁽²⁾

^(*) Corresponding author

Authors' affiliations

DOI: https://doi.org/10.15866/irece.v6i6.8203

Abstract

In this paper, the acoustical absorption of sandwich plates with perforated material, for normal incidence wave to layers, is studied by using the transfer matrix method. The effect of acoustical, mechanical and geometrical parameters of the plies is analyzed. In the first part, the results of the acoustical absorption coefficient for a perforated plate are compared to those of fibrous open perforated material. In the second part the influence of the addition of skins on both sides of the layer is studied. The third part relates to the study of sensitivity of various parameters of a sandwich plate in perforated material. Finally, the effect of the number of reasons is studied. The obtained results are compared with an analytical and experimental results found in the literature. This leads to conclude about the acoustical performances of the sandwich plates with perforated material.
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Keywords

Acoustic; Absorption; Transfer Matrix; Composite Stratified; Sandwich Plates; Perforated Material

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References

C .Cai, G.R. Liu, K.Y. Lam, An exact method for analysing sound reflection and transmission by anisotropic laminates submerged in fluid, Applied Acoustics ; Vol.61, pp. 95-109, 2000
http://dx.doi.org/10.1016/s0003-682x(99)00064-x

F.C. Lee, W.H. Chen, On the acoustic absorption of multilayer Absorbers with different inner structures, Journal of Sound and Vibration,Vol. 259(4), pp.761–777, 2003.
http://dx.doi.org/10.1006/jsvi.2002.5113

J. Jinkyo, W. George, J. Swenson, Compact sound absorbers for low frequencies, Noise Control Engineering Journal, Vol. 38, pp.109-117, 1992.
http://dx.doi.org/10.3397/1.2827811

L.L. Beranek, I.L.. Ved, Noise and vibration Control Engineering, 8 (New York, John Wiley and Son,1992 , 232-243).

A.H. Nayfeh, The general problem of elastic wave propagation in multilayered anisotropic media, Journal of the Acoustical Society of America, Vol. 89(4), pp.1521-1531, 1991.
http://dx.doi.org/10.1121/1.400988

A.H. Nayfeh, D.E. Chementi. Ultrasonic leaky waves in a solid solid sparating a fluid and vacuum, Journal of the Acoustical Society of America Vol. 85 pp.555-560, 1989.
http://dx.doi.org/10.1121/1.397578

W.T. Thomson, Transmission of elastic waves through a stratified solid medium, Journal Applied Physics Vol.1, pp.89-93, 1950.
http://dx.doi.org/10.1063/1.1699629

N.A. Haskell, The dispersion of surface waves on multilayered media, Bulletin of Seismological Society of America Vol.34, pp.17-43, 1953.

K.P. Soldatos, J.Q. Ye, Wave propagation in anisotropic laminated hollow cylinders of infinite extent, Journal of the Acoustical Society of America Vol. 96 (5),pp.3744-3752, 1994.
http://dx.doi.org/10.1121/1.410564

L. Knoppof, A matrix method for elastic wave problems, Bulletin of Seismological Society of America Vol.54, pp. 431-438, 1964.

H .Schmidt, F.B. Jensen, A full wave solution for propagation in multilayered viscoelastic media with application to Gaussian beam reflection at fluid-solid interfaces, Journal of the Acoustical Society of America Vol.77(3), pp.813-825, 1985.
http://dx.doi.org/10.1121/1.392050

A.K. Mal, Wave propagation in layered composite laminates under periodic surface loads, Wave motion Vol.10, pp.257-266, 1988..
http://dx.doi.org/10.1016/0165-2125(88)90022-4

M.J.S. Lowe, Matrix techniques for modeling ultrasonic waves in multilayered media, IEEE. Trans. Ultrason, Ferroelec, Freq. Contr. Vol.42 (4), pp.525-542, 1995.
http://dx.doi.org/10.1109/58.393096

N. Atalla, R. Penneton, F.C. Sgarg, X. Olny, Acoustic Absorption of Macro-perforated porous materials, Journal of Sound and Vibration Vol. 234(4), pp659-678, 2001.
http://dx.doi.org/10.1006/jsvi.2000.3435

J. Allard, Propagation of sound in porous media, Modelling sound absorbing materials, (Elsevier Application Science, New York, London, 1993).

W.A. Davern, Perforated facings backed with porous materials as sound absorbers an experimental study, Applied Acoustics, Vol. 10 pp.85-112, 1977.
http://dx.doi.org/10.1016/0003-682x(77)90019-6

I.P. Dunn, W.A. Davern , Calculation of acoustic impedance of multi-layer absorbers, Applied Acoustics, Vol. 19, pp.321-334, 1986.
http://dx.doi.org/10.1016/0003-682x(86)90044-7

Y.C. Chang, L.J. Yeh, M.C. Chiu, G.J. Lai, Shape optimization on constrained single-layer sound absorber by using GA method and mathematical methods, Journal Sound and Vibration, Vol. 286, pp. 941-961, 2005.
http://dx.doi.org/10.1016/j.jsv.2004.10.039

Y.C. Chang, L.J. Yeh, M.C. Chiu, Optimisation of constrained composite absorber by using simulated anneling, Applied Acoustics, Vol. 66, pp.341-352, 2005.
http://dx.doi.org/10.1016/j.apacoust.2004.07.003

M.E. Delany, E. Bazley, Acoustical characterics of fibrous absorbent materials, (National Physical Laboratory Aero Report Ac37, March 1969).

M. Garai, F. Pompoli, A simple empirical model of polyester fibber materials for acoustical application, Applied acoustics Vol. 66, pp.1383-1398, 2005.
http://dx.doi.org/10.1016/j.apacoust.2005.04.008

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