Transverse vibration analysis of single-layered graphene sheet under magneto-thermal environment based on nonlocal plate theory

In the present paper, the effect of magneto-thermal environment on the transverse vibration of magnetically sensitive single-layered graphene sheets (SLGS) has been analyzed based on nonlocal plate theory. Governing differential equations for the analysis of vibration characteristics of SLGS under magneto-thermal environment are derived considering the Lorentz magnetic force obtained from Maxwell's relationship and thermal elasticity. The governing differential equations are solved employing differential quadrature method. Convergence and validation study are performed. Moreover, the influences of SLGS geometrical properties, nonlocal parameter, in-plane magnetic field and environmental temperature change on the vibration characteristics of SLGS are studied and reported.