The mutual impedance of two circular plates for high frequency wave radiation

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Authors

  • P. WITKOWSKI Institute of Physics, Pedagogical University, Poland

Abstract

In this paper the mutual impedance of two thin circular plates with non-axisymmetric, time-harmonic free vibrations is analyzed. It is assumed that plates clamped at the circumference are placed in a rigid, planar baffle and radiate into a lossless and homogeneous fluid medium. Damping in plates is ignored. Using the Cauchy theorem on residues and asymptotic formulae for the Bessel functions, an approximate expression is derived for a normalized mutual resistance and reactance for high frequencies.

References

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[2] L. LENIOWSKA, W. RDZANEK, P. WITKOWSKI, Mutual acoustic impedance of circular sources with parabolic vibration velocity distribution for high frequencies, Archives of Acoustics, 17, 3, 425-431 (1992).

[3] H. LEVINE, F.G. LEPPINGTON, A note on the acoustic power output of a circular plate, Journal of Sound and Vibration, 121, 2, 269-275 (1988).