Abstract
Recent experiments have shown the applicability of graphene in Nanoelectromechanical Systems (NEMS) devices. Because it has very high Young’s modulus, high strength, excellent conductivity and small thickness. In our paper, we present a continuum model of graphene drum resonator for analysing dynamic characteristics. The investigated graphene drum resonator is electrostatically actuated and it has nearly circular shape. This devices have applications as NEMS sensors and actuators. We have modelled a graphene sheet as circular plate in finite element analysis (FEA) software for investigation. In this FE model, geometric and electrostatic force nonlinearities inherently present. The static and dynamic characteristics of graphene drum resonator have been studied in detail. The relationship between the natural frequency and electrostatic actuation force has been explored for both circular and imperfect circular plate. We have observed that the higher natural frequencies of circular graphene sheet splits into two distinct natural frequencies with introduction of imperfection in circular geometry. We have introduced imperfection in circular geometry by modelling the graphene sheet as an elliptical sheet. We have systematically investigated the split natural frequency behaviour of the electrostatically actuated imperfect circular graphene sheet.
Published Version
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