Abstract
In the present paper, first three natural frequencies of free axisymmetric vibration of two-directional functionally graded annular plates resting on Winkler foundation are predicted using differential quadrature method (DQM) and Chebyshev collocation technique. Frequency equations for a plate clamped at both the edges and another plate simply supported at both the edges are obtained using both the methods. The effect of volume fraction index, coefficient of radial variations, exponent of the power law, foundation parameter, radius ratio and boundary condition is discussed on first three natural frequencies. Nonhomogeneous/homogeneous isotropic materials are deduced as particular cases of functionally graded material . The accuracy and efficiency of the present approaches are confirmed through comparison of frequencies for homogeneous isotropic annular plates. Two-dimensional mode shapes for both the boundary configurations are also plotted. • Results obtained from both the methods are identical • Nonhomogeneous isotropic material is inferred as special case of FGM • Frequency for nonhomogeneous plate is less than that for homogeneous plate • Frequency for C-C FGM plate is greater than that for S-S FGM annular plate
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