Abstract
This paper is concerned with a method for solving problems of vibrating plates of arbitrary shape lying on arbitrarily shaped inner ring supports. To treat the inner ring support, the reaction force of the support is assumed to be an external unknown force. The exact solution of the equation of motion in polar co-ordinates is applied. The boundary conditions along the edge and the support are satisfied directly by means of the Fourier expansion collocation method which has bee developed in the author's previous reports. Numerical calculations have been carried out for a solid polygonal plate on an annular ring support and a solid circular plate on a elliptical ring support.
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