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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
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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

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