Archives of Acoustics, 17, 3, pp. 413-423, 1992

Acoustic pressure of a freely vibrating circular plate without baffle

L. Leniowska
Department of Physics, Department of Technics, Pedagogical University, 35-310 Rzeszów, ul. Rejtana 16a
Poland

W. Rdzanek
Department of Physics, Department of Technics, Pedagogical University, 35-310 Rzeszów, ul. Rejtana 16a
Poland

Formula for an acoustic pressure of a circular plate under free vibrations without baffle board is derived with the use of oblate spheroidal coordinate system. The result is obtained in terms of a single series of spheroidal function products. The number of terms ensuring a required accuracy can be determined numerically. The field radiated by a plate without baffle is analysed for the first three vibration modes on the basis of their directional characteristics and accounting for various values of an interference parameter h=2πa/λ.
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