Small Scale Effect on Nonlinear Vibration of Annular Graphene Sheet Under Thermal Field

چکیده مقاله

In this work, thermo-nonlocal vibration of annular graphene sheet is investigated. The annular graphene sheet is in elastic medium by spring and shear constants of the Pasternak models and damping for viscosity effect [1, 2]. To drive higher order nonlinear governing equation, the Hamilton's principle [3] on energy method and using nonlocal elasticity theory is applied. These equations are related to radial and transverse displacement which cannot be solved analytically due to their nonlinear terms. The Differential Quadrature (DQ) approach [4] is employed to solving the these nonlinear equations. The plots for the ratio of nonlocal to local frequencies versus nonlocal parameter are presented to investigate the effects of small scale parameter, aspect ratio, temperature change and visco-Pasternak foundation.