▎ 摘　　要

This paper is concerned with nanomechanics and vibration analysis of graphene sheets modelled by a two-dimensional (2D) plate model in COMSOL Multiphysics. In this model, a graphene sheet is regarded as a 2D material and its thickness is changeable. Using the model, the deflection and strain or stress of graphene sheets under surface pressure or point load as well as its vibration analysis are simulated. Furthermore, the influence of different sizes, shapes and boundary conditions on the nanomechanics and vibration of graphene sheets is researched. Compared with some famous experiments and corresponding theoretical models, the simulation results show that the 2D plate model is accurate, efficient and offers a promising way of modelling nanomechanics and vibration analysis of graphene sheets. Moreover, the nonlinearity of deflection and large amplitude vibration of graphene sheets can be concluded. The deflection and fundamental frequency of graphene sheets are large enough for them to be possibly applied for high-sensitivity pressure sensors and resonators.