Acoustic radiation of circular plate including the attenuation effect and influence of surroundings

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Authors

  • W. RDZANEK Institute of Physics of Pedagogical College, Poland

Abstract

This paper presents an analysis of the acoustic power of a thin circular plate, which includes internal dissipation in the plate's material and the influence of the acoustic wave radiated by the plate on it's vibrations. A fully fixed plate was accepted, which vibrates in a rigid and flat acoustic baffle under the influence of a definite external pressure, sinusoidal in terms of time, and radiates into a lossless and homogeneous liquid medium. The factor which forced vibrations was accepted as fixed. The acoustic power was calculated on the basis of the known distribution of vibration velocity into a series of eigenfunctions. The power radiated by the plate was expressed in the form of a strongly convergent series, so the frequency characteristics could be determined. Also the effect of the plate's internal attenuation was estimated, as well as the influence of the acoustic field radiated by the plate on the modification of its vibrations.

References

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

[2] I. MALECKI, Theory of waves and. acoustic systems (in Polish), PWN, Warszawa 1964.

[3] W. RDZANEK, The sound power of a circular plate for high-frequency wave radiation, Arch. of Acoustics 8, 4, 331-340 (1983).

[4] W. RDZANEK, Mutual impedance of axially-symmetric modes of a circular plate, Arch. of Acoustics 11, 3, 239-251 (1986).

[5] W. RDZANEK, Radiated acoustic power of a fixed on the periphery circular plate vibrating under the influence of external pressure to be published in Archives of Acoustics.