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Finite Amplitude Acoustic Waves Radiating from a Non-Resonant Vibrating Plate

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Abstract

The interaction between an acoustical fluid and a harmonically excited plate is examined first [1] using a dual renormalization method. A direct renormalization procedure [2], [3] is applied to the resonant excitation of the same problem. In these investigations one has to solve two coupled transcendental equations for the co-ordinate straining transformations before calculating the response at a certain location. Subsequent investigations [4] – [7] recast the problem into a superposition of two sets of uniform planar waves.

Dedicated to Professor M. Heckl on his 60th Birthday.

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References

  1. J.H. Ginsberg, Multi-dimensional non-linear acoustic wave propagation, Part II: The non-linear interaction of an acoustic fluid and plate under harmonic excitation, J. Sound and Vib. 40, 375: 379, (1975).

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  2. A.H. Nayfeh and S.G. Kelly, Non-linear interactions of acoustic fluids with plate under harmonic excitations, J. Sound and Vib. 60, 371: 377, (1978).

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  4. J.H. Ginsberg, A new viewpoint for the two-dimensional non-linear acoustic wave radiating from a harmonically vibrating plate, J. Sound and Vib. 63, 151: 154, (1979).

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  5. A. Kluwick, On the non-linear distortion of waves generated by flat plates under harmonic excitations, J. Sound and Vib. 73, 601: 604, (1980).

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  6. A.H. Nayfeh, Non-linear propagation of waves induced by general vibrations of plates, J. Sound and Vib. 79, 429: 437, (1981).

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  7. M.A. Foda, Analysis of non-linear propagation of waves induced by a vibrating flat plate, Acústica (accepted for publication).

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  8. A.H. Nayfeh, Perturbation Methods. Wiley-Interscience, New York, ch. 5, (1973).

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© 1991 Plenum Press, New York

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Foda, M.A. (1991). Finite Amplitude Acoustic Waves Radiating from a Non-Resonant Vibrating Plate. In: Leroy, O., Breazeale, M.A. (eds) Physical Acoustics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-9573-1_37

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  • DOI: https://doi.org/10.1007/978-1-4615-9573-1_37

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-9575-5

  • Online ISBN: 978-1-4615-9573-1

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