▎ 摘　　要

This paper uses a meshless radial point interpolation method to characterize the dynamics of a thin graphene micro plate system. Mesh less radial point interpolation method possesses great flexibility on handling essential boundary conditions and physical parameters. System governing equations are derived first based upon a nonlocal elasticity theory. After establishing stiffness and mass matrices, dynamics of the system are characterized. System dynamics are then enhanced by introducing additional physical characters. In the study, five different numerical examples are presented to illustrate the proposed new approach including (1) characterization and comparative studies of the graphene plate, (2) associated nanoscale vibrational analysis, (3) strength enhancement for design analysis, (4) critical pull-in voltage for various micro actuators, and (5) characters of elastic media for various pull-in voltages. The results of the above studies are shown to be robust and satisfactory as compared to those obtained by using finite element methods. This indicates that the approach presented in this paper is feasible and accurate for use in modeling graphene micro plate systems.