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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
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).
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).
J.H. Ginsberg, A re-examination of the non-linear interaction between an acoustic fluid and a flat plate undergoing harmonic excitation, J. Sound and Vib. 60, 449: 458, (1978).
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).
A. Kluwick, On the non-linear distortion of waves generated by flat plates under harmonic excitations, J. Sound and Vib. 73, 601: 604, (1980).
A.H. Nayfeh, Non-linear propagation of waves induced by general vibrations of plates, J. Sound and Vib. 79, 429: 437, (1981).
M.A. Foda, Analysis of non-linear propagation of waves induced by a vibrating flat plate, Acústica (accepted for publication).
A.H. Nayfeh, Perturbation Methods. Wiley-Interscience, New York, ch. 5, (1973).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Plenum Press, New York
About this chapter
Cite this chapter
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
Download citation
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
eBook Packages: Springer Book Archive