Abstract
Axisymmetric vibrations of a circular plate of linearly varying thickness under the action of an hydrostatic in-plane force and resting on elastic foundation of Winkler type are discussed on the basis of the classical theory of plates. The fourth order linear differential equation governing the transverse motion is solved by Frobenius' method. Frequency parameters of clamped as well as simply supported plates for the first three modes of vibration are computed for various values of the taper parameter, the foundation modulus and the in-plane force. Transverse displacements and moments have also been computed.
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