FREE VIBRATION OF FUNCTIONALLY GRADED SIZE DEPENDENT NANOPLATES BASED ON SECOND ORDER SHEAR DEFORMATION THEORY USING NONLOCAL ELASTICITY THEORY

Document Type: Research Paper

Authors

School of Mechanical Engineering, Shiraz University, Shiraz, I. R. of Iran

Abstract

In this article, an analytical solution is developed to study the free vibration analysis of
functionally graded rectangular nanoplates. The governing equations of motion are derived based
on second order shear deformation theory using nonlocal elasticity theory. It is assumed that the
material properties of nanoplate vary through the thickness according to the power law
distribution. Our numerical results are compared with the results of isotropic nanoplates and
functionally graded macro plates. The effects of various parameters such as nonlocal parameter
and power law indexes are also investigated.

Keywords