Mutual impedance of circular plate for axially symmetric free vibrations at high frequency of radiating waves
Abstract
Mutual normalized impedance of radiation of single axially symmetric normal modes is analysed for a circular clamped plate with a plane rigid baffle. Damping in the plate is ignored and the acoustic waves are assumed to radiate in a homogeneous lossless fluid medium. Selecting an integral representation of the considered acoustic impedance and using the Cauchy theorem of residues, an expression is obtained in an elementary form valid for high frequencies.References
[1] H. LEVINE AND F.G. LEPPINGTON, A note on the acoustic power output of a circular plate, Journal of Sound and Vibration 121, 2, 269-275 (1988).
[2] I. MALECKI, Theory of acoustic waves and systems (in Polish) PWN, Warszawa 1964.
[3] W. RDZANEK, The sound power of a circular plate for high-frequency wave radiation, Archives of Acoustics, 8, 4, 331-339 (1983).
[4] W. RDZANEK, Mutual impedance of axially-symmetric modes of a circular plate, Archives of Acoustics, 11, 3, 239-251 (1986).
[2] I. MALECKI, Theory of acoustic waves and systems (in Polish) PWN, Warszawa 1964.
[3] W. RDZANEK, The sound power of a circular plate for high-frequency wave radiation, Archives of Acoustics, 8, 4, 331-339 (1983).
[4] W. RDZANEK, Mutual impedance of axially-symmetric modes of a circular plate, Archives of Acoustics, 11, 3, 239-251 (1986).