An extension of complex modes for the resolution of finite-element poroelastic problems

Journal of Sound and Vibration

Volumn 253, Issue 2, 2002, Pages 421-445

  Dazel, O ^a   Sgard, F ^a   Lamarque, C H ^a   Atalla, N ^b  

^a UNIVERSITÉ DE LYON   (France)

^b UNIVERSITÉ DE SHERBROOKE   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC NOISE; ACOUSTIC VARIABLES CONTROL; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; INTEGRAL EQUATIONS; MODAL ANALYSIS; POROUS MATERIALS; STIFFNESS MATRIX; VECTORS;

COMPLEX MODES; MODAL SYNTHESIS TECHNIQUE; POROELASTIC PROBLEMS; VIBROACOUSTICS;

VIBRATIONS (MECHANICAL);

EID: 0037001687     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.4062     Document Type: Article

References (32)

1. R. Panneton and N. Atalla 1996 Journal of Acoustical Society of America 100, 346-354. Numerical prediction of sound transmission through multilayer systems with isotropic poroelastic materials.
2. Y. J. Kang and J. S. Bolton 1995 Journal of Acoustical Society of America 98, 635-643, Finite element modeling of isotropic elastic porous materials coupled with acoustical finite elements.
3. J. P. Coyette and H. Wynendaele 1995 Proceedings of INTER-NOISE, Vol. 95, 1279-1282. A finite element model for predicting the acoustic transmission characteristics of layered structures.
4. R. Panneton and N. Atalla 1997 Journal of Acoustical Society of America 101, 3287-3298. An efficient finite element scheme for solving the three-dimensional poroelasticity problem in acoustics.
5. R. Panneton 1996 Ph.D. Thesis, Université de Sherbrooke. Modélisation Numérique tridimensionelle par éléments finis des milieux poroélastiques.
6. M. A. Biot 1956 Journal of Acoustical Society of America 28, 168-178. Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low frequency range.
7. J. F. Allard 1993 Propagation of Sound in Porous Media, Modelling Sound Absorbing Materials. New York: Elsevier Application Science.
8. N. Atalla, R. Panneton and P. Debergue 1998 Journal of Acoustical Society of America 104. 1444-1452. A mixed displacement-pressure formulation for poroelastic materials.
9. P. Goransson 1995 Journal of Sound and Vibration 182, 479-494. A weighted residual formulation of the acoustic wave propagation through a flexible porous material and a comparison with a limp material model.
10. L. Meirovitch 1967 Analytical Methods in Vibrations. London: Macmillan Company.
11. H. J.-P. Morand and R. Ohayon 1995 Fluid Structure Interaction. Toronto: John Wiley and Sons.
12. M. C. Junger and D. Feit 1993 Sound, Structures and their Interaction. Acoustical Society of America through American Institute of Physics.
13. A. Kanarachos and I. Antoniadis 1998 Journal of Sound and Vibration 121, 77-104. Symmetric variational principles and modal methods in fluid-structure interaction problems.
14. M. Geradin, G. Roberts and J. Huck 1984 Engineering Computations Journal 1, 152-160. Eigenvalue analysis and transient response of fluid-structure problems.
15. H. J.-P. Morand and R. Ohayon 1979 International Journal for Numerical Methods in Engineering 14, 741-755. Substructure variational analysis of the vibration of coupled fluid-structure systems. Finite element results.
16. F. Fahy 1985 Sound and Structural Vibration. London: Academic Press.
17. F. Sgard 1995 Ph.D Thesis, Université de Sherbrooke, Insa de Lyon. Etude numérique du comportement vibroacoustique d'un systeme plaque-cavité dans un écoulement uniforme, pour différents types d'excitation.
18. H. Bouhioui 1993 Ph.D. Thesis, Université Technologique de Compiegne. Etude vibroacoustique d'un montage en double paroi de verre.
19. H. Bouhioui and M. Hodgson 1998 135th Meeting of the Acoustical Society of America, Seattle, U.S.A. Finite-element modelling of the vibro-acoustical behaviour of poro-elastic materials.
20. F. Sgard, N. Atalla and R. Panneton 1997 134th Meeting of the Acoustical Society of America, San Diego, U.S.A. A modal reduction technique for the finite element formulation of biot's poroelasticity equations in acoustics.
21. F. Sgard, N. Atalla and R. Panneton 1998 135th Meeting of the Acoustical Society of America, Seattle, U.S.A. A modal reduction technique for the finite element formulation of biot's poroelasticity equations in acoustics applied to multilayered structures.
22. C. Zwikker and C. W. Kotsen 1949 Sound-absorbing Materials. New York: Elsevier Application Science.
23. D. L. Johnson, J. Koplik and R. Dashen 1987 Journal of Fluid Mechanics 176, 379-402 Theory of dynamic permeability and tortuosity in fluid-saturated porous media.
24. Y. Champoux 1991 Ph.D Thesis, Carleton University. Etude expérimentale du comportement acoustique des matériaux poreux à structure rigide.
25. W. J. Duncan, R. A. Fraser and A. R. Collar 1938 Elementary Matrices and some Applications to Dynamics and Differential Equations, 289, Cambridge: Cambridge University Press.
26. M. Geradin and D. Rixen 1996 Théorie des Vibrations - Application à la Dynamique des Structures. Paris: Masson; section 2.3.2.
27. F. Chatelin 1988 Valeurs propres de matrices. Paris: Masson.
28. K.-Y. Fung, B. Hongbin Ju and B. Tallapragada 2000 American Institute of Aeronautics and Astronautics Journal 38, 30-38. Impedance and its time-domain extensions.
29. C.K.W. Tam and L. Auriault 1996 American Institute of Aeronautics and Astronautics Journal 34, 917-923. Time-domain impedance boundary conditions for computational acoustics.
30. L. Meirovitch 1967 Analytical Methods in Vibrations. London: Macmillan Company; section 9.7.
31. L. Meirovitch 1967 Analytical Methods in Vibrations. London: Macmillan Company; section 9.11.
32. O. C. Zienkiewicz 1989 The Finite Element Method. London: McGraw-Hill; fourth edition.