An approximate method for analyzing transverse vibrations of circular, annular plates of non-uniform thickness and a free inner boundary

A solution for the titular problem is obtained expressing the plate response in terms of,. polynomial coordinate functions which identically satisfy the boundary conditions only at the outer edge, The plate thickness variation is defined by the functional relation h(r) = h(0)[1 + gamma(r/a)(n)] where n is an integer. The frequency determinant is generated by a straightforward application of the Rayleigh-Ritz method. Copyright (C) 1996 Elsevier Science Ltd.