Electromagnetic instability of electromechanical nano-bridge incorporating surface energy and size dependency

Abstract

The external magnetic field might affect the performances of electromechanical nano-bridges sensors and switches. While different physical phenomena on the behavior of nano-electromechanical systems have been addressed, few works have been done on the inspiration of the magnetic flux on the performance of these systems. Herein, the primary field equations necessary for dynamic instability analysis of electromechanical nano-bridges subjected to an external magnetic flux are extracted. The simultaneous effects of scale dependency and surface energies are considered in the proposed. To this end, the consistent couple stress theory is incorporated with the surface elasticity. Next, the system's nonlinearity is defined by using von-Karman nonlinear strains. Also, the impact of vacuum fluctuation is also considered in the developed model. A reduced-order procedure is designed to solve the constitutive equation, and the effects of the longitudinal magnetic field on the instability of nano-bridge are examined. The outcomes demonstrate that the longitudinal magnetic flux considerably increases the instability voltage of the nano-bridge. • The constitutive equations of electromechanical nano-bridges subjected to an external magnetic flux are extracted. • The coupled effect of size dependency and surface energies are considered in the developed model. • The effect of Casimir force is simulated in the proposed model. • The system's nonlinearity is defined by using von-Karman nonlinear strains.