Non-local Vibration of Coupled System of Double-Layered of Graphene Sheets with the Pasternak Medium

چکیده مقاله

In this paper, vibration analysis of coupled system of double-layered graphene sheets (CS-DLGSs) embedded in a Pasternak foundation is carried out using the non-local elasticity theory [1] of orthotropic plate. The two DLGSs are coupled by an enclosing elastic medium which is simulated as a Pasternak medium [4]. The motion equations are derived using the Hamilton’s principle [2]. Differential quadrature method (DQM) [3] is applied to obtain the frequency ratio for various boundary conditions. The influences of the non-local parameter, boundary conditions and the elastic medium coefficients on the frequency ratio of CS-DLGSs are studied. For obtaining the motion equations of all sheets, the equations of motion for the single-layered sheet derive and then are extended to multi-layered sheet.