Abstract
This chapter is devoted to the basic equations of Vibro-Acoustics. Only thin elastic bodies are considered.
First, the approximate equations governing the linear vibrations of thin plates, thin circular cylindrical shells and spherical shells are established. The approximation is based on the hypothesis that the elastic body has one dimension which is small compared to the other two ones and to the wavelengths of the vibrations.
Then, the theory of in vacuo thin plates and cylindrical shells under harmonic excitations is rapidly summarized (resonance mode series expansion, boundary integral representation).
The other sections deal with the response of fluid-loaded plates and shells, excited either by deterministic forces (harmonic or transient) or by random forces. The fluid load is represented by a boundary integral. Different representations of the solution are developed: boundary integral representation of the structure displacement and of the sound pressure field; fluid-loaded eigenmode series and fluid-loaded resonance mode series. These different theoretical aspects are developed on canonical examples with increasing complexity.
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Short bibliography
Basic books
R. Courant and D. Hilbert. Methods of Mathematical Physics. Interscience New York, 1957.
F. Fahy, 1985. Sound and structural vibration, Academic Press, Londres.
P.J.T. Filippi, D. Habault, J.-P. Lefebvre and A. Bergassou, 1999. Acoustics: Basic Physics, theory and methods. Academic Press, London.
P.J.T. Filippi and D. Mazzoni, 1997. Response of a vibrating structure to a turbulent wall pressure: fluid-loaded structure modes series and Boundary Element Method. In Uncertainty Modeling in Finite Element, Fatigue and Stability of Structures (Series on Stability, Vibrations and Control of Systems) — Prof. Ayyub, Prof Guranand Prof. Haldar editors, volume 9, pp. 117–158. World Scientific Publishing
M.C. Junger and D. Feit, 1993. Sound, Structures, and Their Interaction. Acoustical Society of America. (1972 and 1986 by the Massachusetts Institute of Technology).
L. Landau et E. Lifchitz, 1967. Théorie de l’élasticité. Editions MIR, Moscou.
A.W. Leissa, 1969. Vibrations of plates. NASA Scientific and Technical Publications, Washington, D.C. 20402
A.W. Leissa, 1973. Vibrations of shells. NASA Scientific and Technical Publications, Washington, D.C. 20546
Ph. Morse and H. Feshbach. Methods of Theoretical Physics. Mc Graw-Hill Book Company, New York, 1953.
Ph. Morse et K.U. Ingard. Theoretical Acoustics. Mc Graw-Hill Book Company, New York, St. Louis, San Francisco, Toronto, London, Sydney, 1968.
A. Nayfeh. Perturbation methods. John Wiley and Sons, New York, London, Sidney, Toronto, 1973.
Specialized papers
C. Bardos, M. Concordel and G. Lebeau, 1989. Journal d’Acoustique, 2, 31–38. Extension de la théorie de la diffusion pour un corps élastique immergé dans un fluide. Comportement asymptotique des résonances.
G.M. Corcos. 1963. Journal of the Acoustical Society of America, 35(2):192–199. Resolution of pressure in turbulence.
D.G. Crighton. 1989. Journal of Sound and Vibration, 133:1–27. The 1988 Rayleigh medal lecture: fluid loading — the interaction between sound and vibration.
H.G. Davies. 1969. Journal of the Acoustical Society of America, 49(3):878–889. Sound from turbulent-boundary-layer-excited panels.
N.C. Martin and P. Leehey. 1977. Journal of Sound and Vibration, 52(1):95–120. Low wavenumber wall pressure measurements using a rectangular membrane as a spatial filter.
A. Norris G.A. Kriegsmann and E.L. Reiss. 1984. Journal of the Acoustical Society of America, 75(3):685–694. Acoustic scattering by baffled membranes.
A. Norris. 1990. Journal of the Acoustical Society of America, 88(1):505–514. Resonant acoustic scattering from solid targets.
M.L. Rumerman. 1992. Journal of the Acoustical Society of America, 91(2):907–910. Frequency-flow speed dependence of structural response to turbulent boundary layer excitation of a panel.
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© 1999 Springer-Verlag Wien
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Filippi, P.J.T. (1999). Modelling of Fluid/Structure Interactions. In: Habault, D. (eds) Fluid-Structure Interactions in Acoustics. CISM International Centre for Mechanical Sciences, vol 396. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2482-6_1
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DOI: https://doi.org/10.1007/978-3-7091-2482-6_1
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-83147-2
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