Effects of Geometric Nonlinearity on Free and Forced Vibration Analysis of Moderately Thick Annular Functionally Graded Plate

This article deals with the nonlinear free and forced vibration of moderately thick annular functionally graded material plates. The thickness is assumed to be constant. Material properties are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The formulations are based on the first-order shear deformation plate theory and von Karman-type equation. Steady-state free and forced vibration analysis is investigated and results for linear and nonlinear vibration of isotropic annular plate are compared with those in the literature. Results reveal that the vibration frequencies are dependent on vibration amplitude and volume fraction distribution has a significant effect on the nonlinear vibration and dynamic response of the functionally graded plate.