Nonlinear pull-in instability of boron nitride nano-switches considering electrostatic and Casimir forces

Pull-in instability of Boron Nitride Nano-Beam (BNNB) under the combined electrostatic and Casimir force as nano-switch is presented. Using Euler-Bernoulli Beam (EBB) theory, nonlocal piezoelasticity theory, von Karman geometric nonlinearity and virtual work principle, the nonlinear governing di erential equations are obtained. The equations are discretized by two types of numerical methods, namely the Modi ed Adomian Decomposition (MAD) method and Di erential Quadrature Method (DQM). Analysis of lower pull-in voltage values is considered for nano-switches with di erent boundary conditions. The detailed parametric study is considered, focusing on the remarkable eff ects of nonlocal parameter, beam length, boundary condition, geometrical aspect ratio and gap distance on the behavior of the pull-in instability voltage. The obtained results of DQM and MAD are compared with published relevant study. This work is hoped to be useful in designing and manufacturing of Nano-Electro-Mechanical Systems (NEMS) in advanced applications such as high-tech devices and nano-transistors with great applications in computer industry.