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A series expansion of the acoustic power radiated from planar sourcesA series expansion in ascending powers of the wavenumber k is derived for the acoustic power delivered by baffled or unbaffled planar sources. This series provides a relatively simple means of derving expressions for the power radiated by a baffled source with a known velocity distribution and can be used for unbaffled plates when the velocity field outside the plate is also known. The terms in the series are calculated from the moments of this velocity distribution in the plane containing the source. If these moments are written as derivaties in wavenumber space, it is shown that a MacLaurin expansion of the Fourier transformed velocity provides an easy technique for computing the first few terms of the acoustic power. Examples are provided for baffled, rectangular plates with various boundary conditions. The arbirarily shaped plate with free boundaries is particularly interesting. It is proven that the volume flow across it surface must be zero and as a result corner and edge mode radiation cannot exist for this kind of source.
Document ID
19830051804
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Willams, E. G.
(U.S. Navy, Naval Research Laboratory, Washington DC, United States)
Date Acquired
August 11, 2013
Publication Date
May 1, 1983
Publication Information
Publication: Acoustical Society of America, Journal
Volume: 73
ISSN: 0001-4966
Subject Category
Acoustics
Accession Number
83A33022
Distribution Limits
Public
Copyright
Other

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