Affiliation:
1. School of Mechatronics Engineering, Harbin Institute of Technology, Harbin, PR China
2. Beijing Institute of Control Engineering, Beijing, PR China
Abstract
The present study is concerned with free vibration of functionally graded sandwich plates on elastic foundation based on nth-order shear deformation theory. The material properties of functionally graded plate are assumed to vary according to power law distribution of the volume fraction of the constituents, and two common types of FG sandwich plates are considered. Governing differential equations are derived by means of Hamilton’s principle. The differential quadrature method is developed to formulate the problem, and rapid convergence is observed in this study. A numerical comparison is carried out to show the validity of the proposed theory with available results in the literature. Furthermore, effects of gradient indexes, thickness side ratio, aspect ratio, foundation parameters, boundary condition and different sandwich types on the natural frequency of plates are also studied.
Funder
National Natural Science Foundation of China
National Basic Research Program of China
Subject
Mechanical Engineering,Mechanics of Materials,Ceramics and Composites