In-Plane Free Vibration of Functionally Graded
Rectangular Plates with Elastic Restraint

Changjian Ji; Linquan Yao; Jiping Shen; Tonghao Hu; Cheng Li

Research Article

In-Plane Free Vibration of Functionally Graded Rectangular Plates with Elastic Restraint

Changjian Ji¹, Linquan Yao¹, Jiping Shen*¹, Tonghao Hu¹ and Cheng Li¹

¹School of Rail Transportation, Soochow University, China

Corresponding Author

Received Date: May 08, 2019; Published Date: May 17, 2019

Abstract

The in-plane free vibration of a rectangular plate made of functional graded materials (FGM) is studied based on the two-dimensional linear elasticity theory. The material parameters of FGM rectangular plates are assumed to vary along with the length and width directions according to an exponential law. The governing equation of motion for the FGM rectangular plate is derived using the D’Alembert principle. Subsequently, the equation of motion is solved by the Differential Quadrature Method (DQM), and the natural frequencies for in-plane free vibration of FGM rectangular plate are obtained accordingly. The effects of gradient index, length-width ratio and stiffness of elastic boundary on the natural frequency of FGM rectangular plates are discussed, and the modes for in-plane free vibration are provided.

Keywords:Functionally graded rectangular plates; Elastic restraint; In-plane free vibration; Differential Quadrature Method

Article Details

Citation

Jiping Shen, Changjian Ji, Linquan Yao, Tonghao Hu, Cheng Li. In-Plane Free Vibration of Functionally Graded Rectangular Plates with Elastic Restraint. Glob J Eng Sci. 2(3): 2019. GJES.MS.ID.000537.