Nonlinear Thermo-Nonlocal Vibration of a SLGS Embedded in a Viscopasternak Foundation Using DQM

چکیده مقاله

In this study, transverse nonlinear vibration analysis of a single layered graphene sheet (SLGS) subjected to thermal gradient is investigated. Visco-pasternak model is considered to simulate the interaction between the graphene sheet and the surrounding elastic medium [1]. Continuum orthotropic [2] plate model and relations of classical plate theory are used. The equations of motion are derived based on application of Hamilton principles [3] on the energy method. The nonlocal theory of Eringen [4] is employed to incorporate the small scale effect into the governing equations of the graphene sheet. Differential quadrature method (DQM) is employed to solve the governing differential equations for simply supported edges.