Vibration Analysis of Thin Circular FGM Plate Coupled with Piezoelectric Layers

Analytical investigation of the vibration behavior of thin circular functionally graded (FG) plates integrated with two uniformly distributed piezoelectric actuator layers based on the classical plate theory (CPT) is presented. The material properties of the FG substrate plate are assumed to be graded in the thickness direction according to the power-law distribution. The differential equations of motion are solved analytically for clamped edge boundary condition of the plate. The detailed mathematical derivations are presented and numerical investigations are performed while the emphasis is placed on investigating the effect of varying the gradient index of FG plate on the vibration characteristics of the structure.