A simplified numerical model for a plate backed by a thin foam layer in the low frequency range

Journal of Sound and Vibration

Volumn 280, Issue 3-5, 2005, Pages 681-698

  Jaouen, L ^a,b   Brouard, B ^a   Atalla, N ^b   Langlois, C ^b  

^a UNIVERSITÉ DU MAINE   (France)

^b UNIVERSITÉ DE SHERBROOKE   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); BOUNDARY CONDITIONS; DAMPING; FINITE ELEMENT METHOD; FOAMS; POROUS MATERIALS; VIBRATION CONTROL; VISCOUS FLOW;

POLYMER FOAMS; PORO-ELASTIC MATERIALS; SOUND ABSORPTION; THIN FOAM LAYER;

MULTILAYERS;

EID: 10444241944     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsv.2003.12.038     Document Type: Article

References (19)

1. M.A. Biot, The theory of propagation of elastic waves in a fluid-satured porous solid. I. Low frequency range, II. Higher frequency range, Journal of the Acoustical Society of America 28 (1956) 168-191.
2. J.F. Allard, Propagation of Sound in Porous Media: Modeling Sound Absorbing Materials, Chapman & Hall, London, 1993.
3. N. Dauchez, S. Sahraoui, N. Atalla, Dissipation mechanisms in a porous layer bonded onto a plate, Journal of Sound and Vibration 265 (2003) 437-449.
4. S. Rigobert, Modélisation par Élément Finis des Systèmes Élasto-poro-acoustiques Couplés, Ph.D. Thesis, University of Sherbrooke(Qc), Canada and INSA de Lyon, France, 2001.
5. M. Etchessahar, S. Sahraoui, B. Brouard, Bending vibrations of a rectangular poroelastic plate, Comptes Rendus de l'Académie des Sciences de Paris - Series IIB - Mechanics 329 (2001) 615-620.
6. N. Atalla, R. Panneton, P. Debergue, A mixed displacement-pressure formulation for poroelastic materials, Journal of the Acoustical Society of America 104 (1998) 1444-1452.
7. O. Beslin, J. Nicolas, A hierarchical functions set for predicting very high order plate bending modes with any boundary conditions, Journal of Sound and Vibration 202 (1997) 633-655.
8. D.L. Johnson, J. Koplik, R. Dashen, Theory of dynamic permeability and tortuosity in fluid-saturated porous media, Journal of Fluid Mechanics 176 (1987) 379-402.
9. Y. Champoux, J.-F. Allard, Dynamic tortuosity and bulk modulus in air-saturated porous media, Journal of Applied Physics 70 (1991) 1975-1979.
10. C. Depollier, J.-F. Allard, W. Lauriks, Biot theory and stress-strain equations in porous sound absorbing materials, Journal of the Acoustical Society of America 84 (1988) 2277-2279.
11. P. Lemarinier, Propagation du Son à Basses Fréquences Audibles (30-5000 Hz) dans les Mousses et une Laine de Verre Saturée d'Air, Ph.D. Thesis, Université du Maine, Le Mans, France, 1997.
12. N. Atalla, M.A. Hamdi, R. Panneton, Enhanced weak formulation for the mixed (u,p) poroelastic equations, Journal of the Acoustical Society of America 109 (2001) 3065-3068.
13. A.E.H. Love, On the small free vibrations and deformations of elastic shells, Philosophical Transactions of the Royal Society (London) A (1888) 491-549.
14. R.D. Mindlin, Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates, Journal of Applied Mechanics 18 (1951) 31-38.
15. C. Langlois, Modelling Vibro-acoustic Problems with Finite Elements, Master's Thesis, University of Sherbrooke(Qc), Canada, 2003.
16. C. Langlois, R. Panneton, N. Atalla, Polynomial relations for quasi-static mechanical characterization of isotropic poroelastic materials, Journal of the Acoustical Society of America 110 (2001) 3032-3040.
17. R.J. Guyan, Reduction of stiffness and mass matrices, Journal of the American Institute of Aeronautics and Astronautics 3 (1965) 380.
18. R.H. MacNeal, Finite Elements: Their Design and Performance, Marcel Dekker, New York, 1993.
19. O. Dazel, F. Sgard, C.-H. Lamarque, N. Atalla, An extension of complex modes for the resolution of finite-element poroelastic problems, Journal of Sound and Vibration 253 (2002) 421-445.