Free Asymmetric Transverse Vibration of Parabolically Varying Thickness Polar Orthotropic Annular Plate with Flexible Edge Conditions
نویسندگان
چکیده
Free asymmetric transverse vibration of a polar orthotropic thin annular plate with parabolically varying thickness in radial direction have been computed on the basis of classical plate theory considering both the peripheries of the plate elastically restrained against translation and rotation. The fourth order linear differential equation with variable coefficients governing the motion in the present study has been solved using collocation interpolation technique taking Chebyshev points as the interpolating nodes. Frequency parameters of the plate considering some typical values of taper parameters, rigidity ratios and the radii ratios have been presented for the first three modes of vibration.
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