Modeling the effect of size dependency, van der Waals force, and elastic boundary condition on the electromagnetic pull-in instability of nano-switch

This paper derives the basic field equations necessary for the electromagnetic pull-in analysis of narrow nano-switch with elastic boundary conditions. The switch is subjected to an external longitudinal magnetic field. The couple stress theory is employed to simulate the size dependency of constructive materials. In addition, the influence of the van der Waals force is incorporated into the governing equation. A semi-analytical solution based on the Homotopy perturbation method is presented to solve the nonlinear governing equation of the system, and the obtained results are compared with the numerical data and those available in the literature. The outcomes reveal that employing the magnetic field reduces the nano-switch’s unstable voltage.

کلیدواژه ها:

Magnetic field ، Nano-electromechanical systems ، size dependency ، Homotopy perturbation method