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