Stability Analysis of Nano-wire Made Tweezers in Magnetic Flux

The enormous application of nano-tweezes in modern technologies and biological purposes leads to new operation situations for these devices, such as an external magnetic field. In this paper, the pull-in behavior of nano-wire-made tweezers immersed in a longitudinal magnetic field is simulated. As the scale dependency can be dominant in ultra-small structures, the constitutive equation is developed based on the consistent couple stress theory. In addition, the influence of van der Waals force and Casimir force are considered in the developed model. A semi-analytical model based on the Homotopy perturbation method is presented to solve the nonlinear governing equation. The influence of different phenomena including size dependency, Casimir force, van der Waals force, and the magnetic field on the pull-in voltage and tweezering range of nano-wire manufactured tweezers is investigated. The obtained results demonstrated that the magnetic field has a considerable effect on the pull-in instability and operating range of nano-tweezers.