Abstract

In this study of the free axisymmetric vibrations of polar orthotropic annular plates of linearly varying thickness, on the basis of the classical theory of plates, the Chebyshev collocation technique has been employed to solve the differential equation governing the transverse motion of such plates. Frequencies, mode shapes and moments have been computed for three different boundary conditions for various values of the rigidity ratios, the radii ratio and the taper parameter for the first two modes of vibration. The results for isotropic annular plates of uniform and non-uniform thickness, show good agreement with those available in the literature.

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