Keywords: Annular plate, variable thickness, orthotropy, asymmetric vibration, Winkler elastic foundation, Jacobi method.

Abstract: Classical plate theory is used to study asymmetric vibration of polar orthotropic annular plates of quadratically varying thickness in the radial direction and resting on Winkler elastic foundation. Boundary characteristic orthonormal polynomials are used in Rayleigh-Ritz method. Convergence of the results is tested, and comparisons are made in particular cases with the results already reported in the existing literature. First ten frequencies for variation in orthotropy for all possible four combinations when one boundary is free are shown. Three dimensional mode shapes corresponding to the frequencies are shown.

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