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This work is focused on the analysis of the influence of a non-uniformly distributed surface excitation on sound radiation by a clamped circular plate embedded in a flat rigid baffle. It is assumed that the vibrations and radiations are axisymmetric and time-harmonic, moreover, the losses of energy into the plate's material are neglected. The influence of the surrounding medium on the vibration of the plate is not taken into account. The distribution of the exciting pressure is assumed in the form of a function whose shape can be modeled by fitting suitable values of parameters. The approximation of the distribution of the forcing pressure by the use of an analytical function makes it possible to consider practical cases. Integral formulae for describimg the active power have been obtained. The solution of the equation of motion is achieved by employing an expansion into series of eigenfunctions. An analysis of the influence of the parameters characterizing the surface excitation on the radiation power has also been presented. The low and high frequency elementary form asymptotics can be obtained by using the reached herein formulae and the known approximated expressions.
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Czasopismo
Rocznik
Tom
Strony
309--317
Opis fizyczny
Bibliogr. 12 poz.
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Bibliografia
- [1] LEVINE. H, LEPPINGTON F. G., A note on the acoustic power output of circular plate, Journal of Sound and Vibration, 121, 2, 269–275 (1988).
- [2] RDZANEK W., Acoustic power of radiation of a circular plate fixed on the rim and vibrating under external pressure, Archives of Acoustics, 17, 321–333 (1992).
- [3] WITKOWSKI P., The mutual impedance of two circular plates for high frequency wave radiation, Archives of Acoustics, 22, 463–471 (1997).
- [4] LEISSA, A. W., Vibration of plates, Vol. SP – 160, U. S. Government Printing Office, NASA,Washington, DC 1969.
- [5] MCLACHLAN N. W., Bessel functions for engineers, Clarendon Press, Oxford 1955.
- [6] WATSON G. N., Theory of Bessel functions, University Press, Cambridge 1996.
- [7] STEPANISHEN P. R., EBENEZER E. D., A joint wavenumber time domain technique to determine the transient acoustic radiation loading on planar vibrators, Journal of Sound and Vibration, 157, 451–465 (1992).
- [8] STEPANISHEN P. R., EBENEZER E. D., An in vacuo modal expansion method to determine the transient response of fluid – loaded planar vibrators, Journal of Sound and Vibration, 153, 3, 453–472 (1992).
- [9] MORSE P. M., INGARD K. U., Theoretical acoustics, Princeton University Press, Princeton, 1986.
- [10] RDZANEK W., Mutual impedance of circular plate for axially symmetric free vibrations at high frequency of radiating waves, Archives of Acoustics, 17, 439–448 (1992).
- [11] RDZANEK W. P., Acoustic analysis of planar sound sources, University Press, Rzeszów 2004.
- [12] RDZANEK JR. W. P., RDZANEK W., The self power of a clamped circular plate an analytical estimation, Archives of Acoustics, 28, 59–66 (2003).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0039-0048