ScholarWorks@경상국립대학교

초록

This study is a step forward in mathematical modelling and analysing multilayer graphene sheets embedded as the main element of circular NEMS sensors. We have derived the equation of motion of a circular NEMS sensor utilizing Eringen's nonlocal theory. Besides the external pressure and electrostatic force, it was assumed that Casimir force is effective as the main intermolecular force on the nanoplate. Therefore, the results are only valid for the gap distances ranging from 10 nm to 100 nm between parallel nanoplates. Assuming the small oscillations of the nanoplate around the static point, the nonlinear terms expanded up to third order. Then, single-mode Galerkin decomposition method has been employed to reduce the governing partial differential equation (PDE) to a second-order nonlinear ordinary differential equation (ODE) capturing the system's dynamics. The interaction of intermolecular-electro-mechanical terms can be observed in all coefficients of the cubic-quadratic nonlinear system. In the results, the influence of graphene layers, Casimir force, gap distance, nonlocal parameter on the natural frequency and pull-in voltage have been presented. Additionally, the qualitative analysis demonstrates the systems's nonlinear behaviour and sensitivity to small excitations providing valuable insights for future designs.

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