Coupled effects of surface energy and size dependency on the stability of nanotweezers using GDQ method

Abstract

Surface energy and size phenomenon can highly affect the physical performance of ultra-small systems. Herein, the static and dynamic stability of nanotweezers fabricated from conductive cylindrical nanowires is studied under the presence of Casimir force. The Gurtin---Murdoch surface elasticity in combination with the consistent couple stress theory is employed to incorporate the coupled effects of surface energy and size phenomenon. Using Green---Lagrange strain, the higher order surface stress components are incorporated in the governing equation. The Dirichlet mode is considered and an asymptotic solution, based on the path integral approach, is applied to consider the effect of the Casimir attraction. Numerical generalized differential quadrature is employed to solve the nonlinear governing equation of system. The effects of various parameters on the static and dynamic pull-in parameters and stability threshold of the tweezers are demonstrated.