Vibration of non-homogeneous circular Mindlin plates with variable thickness

Free vibration analysis of non-homogeneous circular plates of variable thickness has been presented using the first-order shear deformation plate theory of Mindlin. Chebyshev collocation technique has been employed to obtain the first three natural frequencies and mode shapes for clamped, simply supported and free plate with four-digit exactitude. The effect of structural parameters such as taper, non-homogeneity and density and that of edge conditions on the natural frequencies has been investigated. Comparison of results for some special cases with published results obtained from other approximate methods has been presented which shows an excellent agreement.