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

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

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