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Asymptotic formulas for the acoustic radiation impedance of an elastically supported annular plate

โœ Scribed by Wojciech P. Rdzanek; Witold J. Rdzanek


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
837 KB
Volume
301
Category
Article
ISSN
0022-460X

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โœฆ Synopsis


This paper deals with the normalized acoustic radiation impedance of an elastically supported annular plate in axisymmetric vibrations. Cauchy's theorem about residues and the stationary phase method have been used to approximate the corresponding integrals. As a result, elementary asymptotic formulas valid for axisymmetric boundary configurations of clamped, guided, simply supported and free annular plates as well as for all the intermediate boundary configurations have been obtained.


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Useful approximation formulae for radiation impedance are given for the reflection coefficients of both infinitely flanged and unflanged rigid-walled cylindrical ducts. The expressions guarantee that simple but necessary physical and mathematical principles are met, like Hermitian symmetry for the r