In this paper, nonlocal elasticity and Reddy plate theory are used to study the vibration response of functionally graded (FG) nanoplate resting on a two parameter elastic medium called Pasternak foundation. The nonlocal higher order theory accounts for both the scale effect and the effect of transverse shear deformation, which becomes significant where stocky and short nanoplates are concerned. It is assumed that the properties of the FG nanoplate follow a power law form through the thickness. In addition, Poisson’s ratio is assumed to be constant in this model. Both Winkler type and Pasternak type foundation models are employed to simulate the interaction of the nanoplate with the surrounding elastic medium. Using Hamilton’s principle, the size-dependent governing differential equations of motion and corresponding boundary conditions are derived. A differential quadrature approach is being utilized to discrete the model and to obtain numerical solutions for the various boundary conditions. The model is validated by comparing the results with other published results.

functionally graded nanoplates, nonlocal elasticity, vibration.