In-Plane Free Vibration of Functionally Graded Rectangular Plates with Elastic Restraint
Journal Title: Global Journal of Engineering Sciences - Year 2019, Vol 2, Issue 3
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.
Authors and Affiliations
Jiping Shen
Keywords
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- EP ID EP607240
- DOI 10.33552/GJES.2019.02.000537
- Views 77
- Downloads 0
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