Small Scale Effect On Vibration Of Thermally Postbuckled Monolayer Graphene Nanoribbon Based On Nonlocal Elasticity Theory

Document Type : Research Article

Authors

1 Department of Mechanical Engineering, Yasouj University, Yasouj, Iran

2 School of Mechanical Engineering, Shiraz University, Shiraz, Iran

Abstract

In the present research, vibration behavior is presented for a thermally postbuckled two side clamped monolayer graphene nanoribbon (GNR). The monolayer GNR is modeled as a nonlocal orthotropic plate strip which contains small scale effects. The formulations are based on the Kirchhoff's plate theory, and von Karman-type nonlinearity is considered in strain-displacement relations. The thermal effects are also included and the material properties are assumed to be temperature-dependent. The initial deflection caused by thermal postbuckling and internal loads are taken into account. A coupled system of equations is derived and a new semi analytical solution is obtained. The effects of variation of small scale parameter to the natural frequencies, deflections and mode shapes of GNR are analyzed and the numerical results are obtained from the nonlocal plate model; also, MD simulations are used to investigate different properties of GNR including both buckling and vibrational behaviors. The small scale coefficient is calibrated using MD simulations. Numerical results are compared with those of similar researches. Effects of various parameters on the postbuckled vibration of GNR in thermal environments such as scale parameter, length and thermal load are presented. Stability and occurrence probability of internal resonance between vibration modes around a buckled configuration is investigated.

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