On size-dependent thermal buckling and free vibration of circular FG Microplates in thermal environments

In this article, transverse vibration and thermal buckling of a size-dependent functionally graded (FG) circular microplate has been investigated based on modified couple stress and classical plate theory for different boundary conditions. Material properties of the FG microplate are supposed to be temperature-dependent and vary continuously along the thickness according to a power-law form. Axial forces are also existed in the model as the thermal ones do. Governing equation and boundary conditions have been derived using Hamiltonian's principle. Differential quadrature method is employed to solve the governing equation. Validations are done by comparing available literatures and the obtained results that confirm the accuracy of the applied method. The obtained results represent effects of temperature changes, different boundary conditions, length scale parameter, FG index and buckling load on the first and the second nondimensional frequencies. Moreover, results determine critical values of temperature changes and other essential parameters applicable to design micromachines like micromotors and microturbines.