Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-10T18:31:21.241Z Has data issue: false hasContentIssue false
  • English
  • Français

Radiation of acoustic power from a two-dimensional double elastic panel

Part of: Hydro- and aero-acoustics

Published online by Cambridge University Press:  26 February 2010

F. G. Leppington
F. G. Leppington
Affiliation:
Department of Mathematics, Imperial College, 180 Queen's Gate, London SW7 2BZ
Get access

Abstract

A double elastic panel, set in a light compressible fluid, is excited by a time harmonic force applied along a line on one of the plates. The double panel consists of two parallel elastic plates, with different elastic properties, each of width a and separated by distance d≪a, set in rigid plane baffles with acoustically soft adjoining side walls. Each plate is taken to have infinite extent in the z-direction, so that the problem treated is a two-dimensional one. The radiated acoustic power is estimated asymptotically, averaged over a small frequency band and over all line force positions, for frequencies that are sufficiently high to ensure the excitation of many panel modes, with ka≫1 and kd >> 1, where k is the acoustic wave number. Transition formulae are given for frequencies ω that are near to either of the coincidence frequencies, ω1 and ω2, of the individual panels.

MSC classification

Secondary: 76Q05: Hydro- and aero-acoustics
Type
Research Article
Information
Mathematika , Volume 42 , Issue 2 , December 1995 , pp. 368 - 391
Copyright
Copyright © University College London 1995

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Heron, K. H.. Advanced statistical energy analysis. Phil. Trans. R. Soc. Lond., A346 (1994), 501–510.Google Scholar
Junger, M. C. and Feit, D.. Sound, Structures and their Interaction 2nd Ed. (Cambridge MIT Press, 1986).Google Scholar
Leppington, F. G., Broadbent, E. G. and Heron, K. H.. Acoustic radiation from rectangular panels with constrained edges. Proc. R. Soc. Lond., A393 (1984), 67–84.Google Scholar
Leppington, F. G., Broadbent, E. G., Heron, K. H. and Mead, S. M.. Resonant and non-resonant acoustic properties of elastic panels. I. The radiation problem. Proc. R. Soc. Lond., A406 (1986), 139–171.Google Scholar
Lyon, R. H.. Statistical Energy Analysis of Dynamic Systems: Theory and Applications (Cambridge MIT Press, 1984).Google Scholar
Price, A. J. and Crocker, M. J.. Sound transmission through double panels using statistical energy analysis. J. Acoust. Soc. Amer., 47(3) (1970), 683–693.CrossRefGoogle Scholar
Timoshenko, S. and Woinowsky-Krieger, S., Theory of Plates and Shells 2nd Ed. (McGraw-Hill, New York, 1959).Google Scholar