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Boundary Element Analysis of Vibro-Acoustic Interaction between Vibrating Membrane and Thin Fluid Layer

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Abstract

This paper presents a variational formulation for the study of the acoustic propagation and radiation of a vibrating membrane coupled to a cavity filled with a visco-thermal fluid. This formulation is obtained by combining a variational formulation by integral equations of both internal and external fluids, which takes account of acoustic and entropic waves coupling, with a classical variational formulation of the membrane. Numerical results obtained by this new formulation are compared to those obtained when the viscous and thermal effects are not considered.

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References

  1. Bruneau, M., Introduction aux théories de l'acoustique. Université du Maine Editeur, Le Mans, France (1983).

    Google Scholar 

  2. Bruneau, M. and Plantier, G., Heat conduction effects on the acoustic reponse of a membrane separated by a very thin air film from a backing electrode. J. Acoustique 3 (1990) 243–250.

    Google Scholar 

  3. Bruneau M., Bruneau, A.M. and Dupire, P., A model for rectangular miniaturized microphones. Acta Acoustica 3 (1995) 275–282.

    Google Scholar 

  4. Dokumaci, E., Prediction of the effects of entropy fluctuations on sound radiation from vibrating bodies using an integral approach. J. Sound Vibration 186(5) (1995) 805–819.

    Article  MATH  Google Scholar 

  5. Karra, C. and Ben Tahar, M., An integral equation formulation for boundary element analysis of propagation in visco-thermal fluids. J. Acoust. Soc. Amer. 102(3) (1997) 1311–1318.

    Article  ADS  Google Scholar 

  6. Karra, C. and Ben Tahar, M., Analyse par éléments finis de frontière du problème de couplage d'une membrane circulaire et d'une cavité remplie d'un fluide thermovisqueux. In: 4ème Congrès Français d'Acoustique, 14–18 avril 1997, Marseille, France (1997) pp. 895–898.

  7. Karra, C., Formulation variationnelle par équations intégrales pour la résolution des problèmes de propagartion acoustique dans un fluide thermovisqueux. Thèse de Doctorat de l'Université de Technologie de Compiègne, France (1997).

    Google Scholar 

  8. Kirchhoff, G.R., Über die Einfluss der Warmeeleitung in einem Gase auf die Schallbewegung. Annalen der Physik Leipzig 134 (1868) 177–193. English translation in: Lindsay, R.B. (ed.), Physical Acoustics. Dowden, Hutchinson and Ross, Stroudsburg (1974).

    Google Scholar 

  9. Morse, P.M. and Ingard, K.U., Theoretical Acoustics. Princeton University Press, Princeton, NJ (1986).

    Google Scholar 

  10. Pierce, A.D., Acoustics: An Introduction to Its Physical Principles and Applications. McGraw-Hill, New York (1981).

    Google Scholar 

  11. Rayleight, J.W.S., Theory of Sound, 2nd edn. (1896), reprinted by Dover, New York (1945).

    Google Scholar 

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Authors
  1. C. Karra
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  2. M. Ben Tahar
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Karra, C., Ben Tahar, M. Boundary Element Analysis of Vibro-Acoustic Interaction between Vibrating Membrane and Thin Fluid Layer. Flow, Turbulence and Combustion 61, 179–187 (1998). https://doi.org/10.1023/A:1026446021667

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