Modes elasto-acoustiques d 'on systeme couple fluide-structure
Keywords:
structure, fluid, elasto-acoustics modes, finite elements, modal methodAbstract
Numerical model has been developed to study elasto-acoustics behaviour of elastic structure coupled with cavity full by compressible fluid. The so called numerical model is able to calculate coupled frequencies and modes of structure-fluid system. In this paper, global functional has been done according to the formulation of appropriates equations of structure fluid problem. Modal method is employed to calculate elasto-acoustics modes. It represents the mouvment of the structure by its uncoupled eigenmodes. The modal pression inside the cavity is considered as the sum of statical pression and dynamical one. In order to clarify these coupled phenomenas, two differents examples has been studied. The first one is the case of elastic plate coupled with a cavity full of fluid (air or water). The second model is the case of two elastica/ plates coupled with a cavity full of light fluid (air).
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References
[BAT 76] BATHE K. J. , WILSON E. L., Numerical methods infinite element analysis,
Prentice-Hall, Inc. , Englewood cliffs, N.J., 1976.
[BAT 90) BATHOZ J. L., DHATT G., Modelisation des structures par elements finis,
poutres et plaques, Hermes, 1990.
[MOR 92], MORAND H. J. P., OHA YON R., Interactions jluides-structures, Masson, Paris
[MOR 76] MORAND H. J. P. and OHA YON R., «Investigation of variational formulations
for the elasto-acoustic problem », Proc. of the Int. Symp. on FEM Meth. in flow
problems, Rappallo,ltaly, 1976.
[BOU 93] BOUHIOUI H., «Etude vibro-acoustique d'un montage en double paroi de
verre »,These de doctorat, Universite de Technologic de Compiegne, octobre 1993.
[DHA 84) DHATT G., TOUZOT G.,« Une presentation de Ia methode des elements finis»,
collection Universite de Compiegne, 1984.
[GAG 91) GAGLIARDINI L., «Simulation numerique de Ia transmission acoustique par les
parois simples et multiples »,These de doctoral, INSA de Lyon, avril 1991.
[GIB 88] GIBERT R. J., << Vibrations des structures - Interactions avec les fluides - Sources
d'excitation aleatoires »,collection de Ia direction des etudes et recherches d'EDF, n°69,
Eyrolles, France 1988.
[HAM 78] HAMDI M.A., OUSSET Y. and VERCHERY G.,« A displacement method for
the analysis of vibrations of coupled fluid-structure systems », Int. J. Num. Meth. Eng. 13
(1), 1978.
[GUY 81) GUY R. W., «The transmission of airborne sound through a finite panel, air gap,
panel and cavity configuration - a steady state analysis», Acustica, vol. 49, p. 323-333,
[HAD 91] HADDAR M., << Modelisation numerique d'un systeme mecanique couple (fluidestructure)
en presence du phenomene de choc »,These de doctoral, UTC, novembre 1991.
[ZIE 69] ZIENKIEWICZ 0. C. and NEWTON R. E., << Coupled vibrations of a structure
submerged in a compressible fluid», Int. Symp. Finite Element Techn. Stuttgart, 1969.
[ZIE 77) ZIENKIEWICZ 0. C., The finite element method, 3d ed. Me. HILL, London 1977.
[ZIE 78) ZIENKIEWICZ 0. C. and BETTES P., << Fluid-structure interaction and wave
forces. An introduction to numerical treatment», Int. J. Num. Meth. Eng. 13(1),1-17,
[ZIE 91) ZIENKIEWICZ 0. C. and TAYLOR R. L., The finite Element Method, Fourth
Edition, Me Graw-Hill, Vol. 2, 1991.
[LES 88] LESUEUR C. , Rayonnement acoustique des structures, Eyrolles, 1988.
(OHA84] OHA YON R., <
problems», Proc. Int. Conf. on Num. Meth. for transient and coupled problems,
R. W. Lewis, P. Bettess, E. Hinton, PineridgePress, 1984.
[OHA 87] OHA YON R., « Fluid-structure modal analysis. New symmetric continuum-based
formulations. Finite element application», Proc. Int. Conf NUMETA 87, G. N. Pande, J.
Middleton, Martinus NijhoffPubl., 1987.
[MEl 87] OHA YON R., MEIDINGER N. and BERGER H., « Symmetric variational
formulations for the vibration of damped structural-acoustic systems, Aerospace
applications», Proc. AIAAIASME 28th Structures, Structural Dynamics Conf, 1987.
[IR070] IRONS B. M., « Role of part inversion in fluide-structure problems with mixed
variables», AIAA Journal, 7, 568, 1970.
[MUL81] MULLER W. C.,« Simplified analysis of linear fluid-structure interation »,Int. J.
Num. Meth. Eng., 17, 113-121,1981.
[RAM 87] RAMAKRISHNAN J. V. and KOVAL L. R., «A finite element model for sound
transmission through laminated composites plates», J. Sound Vib. 112(3), 433-446, 1987