Free Vibration Analisys Of Thin Functionally Graded Materials Plates On Winkler Elastic Foundation By Differential Quadrature Element Method

Abstract

In this study, a numerical approach to evaluate and predict the natural frequencies of a functional graded material plate resting on single-parameter elastic foundation, has been presented. In order to avoid nonlinear effects, the elastic foundation, Winkler considered . To investigate FGM Plate, Classic Plate Theory of thin plate is used. The plate is modeled using differential quadrature element method. By decomposing the system into a series of subdomain and elements any discontinuity in loading, geometry, material property and even elastic foundation can be considered. Applying the differential quadrature element method to the governing equations of the plate and the corresponding and boundary and compatibility conditions, they are transformed into an algebraic system of eigenvalue problem. Solving the resulted eigenvalue problem, the natural frequencies of functional graded material plate resting on Winkler foundation are calculated. The proposed method is verified by observing excellent agreements to those are available in literatures. The results show that proposed method can predict well.

Keywords

• free vibration
• fgm plates
• winkler foundation
• differential quadrature element method