Pull-in analysis of an electrostatically actuated nano-cantilever beam with nonlinearity in curvature and inertia

摘要: In this paper, the nonlinear behavior of electrostatically actuated carbon nanotubes (CNTs) is investigated based on a comprehensive model with nonlinearity in curvature, inertia and electrostatic force. The aim study to show when formulation needs be taken into account linear can simulate system accurately. comprises cantilevered CNT suspended over fixed electrode plate from which DC potential difference imposed. A relatively large gap between ground considered. versatile Galerkin method employed reduce integro-differential equations motion set ordinary differential time, then, reduced are solved by direct numerical integration. Dynamic response before beyond pull-in voltages effect length ratio studied. It shown that ratio, applied voltage close corresponding terms have profound role dynamic system. Eventually, contribution examined it found curvature softening hardening effects, respectively, whereas has major contribution.