Acoustic pressure of circular plate vibrating in a finite baffle with fluid loading

In this paper the problem of calculating the acoustic pressure around a thin circular plate is analysed. It was assumed that the plate was clamped at the circumference of the planar finite baffle and radiated into a lossless homogeneous medium. A model of the plate included internal dissipation in the plate's material and the influence of the acoustic wave radiated by the plate on its vibrations. The vibrations of the plate were forced by time-harmonic external pressure. The acoustic pressure was calculated on the basis of the known distribution of vibration velocity in a series of eigenfunctions, using properties of the oblate spheroidal coordinates. The result was obtained as a single series of spheroidal function products. The number of terms ensuring a required accuracy could be determined numerically.