Thermo-resonance analysis of an excited graphene sheet using a new approach

Abstract

Forced vibration of graphene nanoplate based on a refined plate theory in conjunction with higher-order nonlocal strain gradient theory in the thermal environment has been investigated. Regarding the higher-order nonlocal strain gradient theory, both stress nonlocality and size-dependent effects are taken into account, so the equilibrium equations which are governing on the graphene sheet have been formulated by the theory. The extracted equations will be solved by a closed-form approach by which maximum dynamic deflection has been obtained while all the edges are considered as simple boundaries. To approve the results of the plate theory, several available well-known references have been compared. Finally, after determining the accuracy of the equations, different parameters have been examined for showing the behavior of the nanoplate exposed to a transverse dynamic harmonic load.