Resonance behavior of FG rectangular micro/nano plate based on nonlocal elasticity theory and strain gradient theory with one gradient constant

In this article, for the first time, the resonance behaviors of functionally graded micro/nano plates are presented using Kirchhoff plate theory. To consider the small scale effects, the nonlocal elasticity theory and strain gradient theory with one gradient parameter are adopted. In this work, one can see the different behaviors of these two theories. To solve the governing equations, an analytical approach is used to investigate simply supported functionally graded rectangular micro plates. To show the accuracy of present methodology, our results are compared with the results for isotropic gradient micro plate. The effects of gradient parameter, aspect ratio and nonlocal parameter are also studied.