Free vibration of multidirectional functionally graded circular clamped plate

In this paper free vibration of multidirectional functionally graded (FG) circular plates is studied based on three-dimensional elasticity equations. It is assumed that the mechanical properties of this plate vary along the thickness and the radial directions. The vibration problem is solved by a semi-analytical/numerical method. The analytical state-space method is used to solve the problem in thickness direction and the numerical differential quadrature method is applied in radial direction. The results of present study are compared by the results in the literatures. The dimensionless frequencies and corresponding mode shapes are obtained and the influences of different parameters on the natural frequencies are demonstrated

کلیدواژه ها:

circular plates ، free vibration ، multidirectional functionally graded materials ، semianalytical/numerical method