A New Efficient Approach for Modeling and Simulation of Nano-Switches Under the Combined Effects of Intermolecular Surface Forces and Electrostatic Actuation

Abstract

This paper applies the homotopy perturbation method to the simulation of the static response of nano-switches to electrostatic actuation and intermolecular surface forces. The model accounts for the electric force nonlinearity of the excitation and for the fringing field effect. Using a mode approximation in the Galerkin projection method, the nonlinear boundary value differential equation describing the statical behavior of nano-switch is reduced to a nonlinear algebraic equation which is solved using the homotopy perturbation method. The number of included terms in the perturbation expansion for achieving a reasonable response has been investigated. Three cases have been specifically studied. These cases correspond to when the effective external force is the electrostatic force, the combined electrostatic and Casimir force and the combined electrostatic and van der Waals force. In all three cases the pull-in characteristics has been investigated thoroughly. Results have been compared with numerical results and also analytical results available in the literature. It was found that HPM modifies the overestimation of N/MEMS instability limits reported in the literature and can be used as an effective and accurate design tool in the analysis of N/MEMS.

Variable width based stepped MEMS cantilevers for micro or pico level biosensing and effective switching

“…The normal TG concentration in human blood serum is 1.5 gm/l or 1.5×10 -3 gm/ml or 1.5×10 -6 gm/µl [1,12], which is equivalent to 1.754 mM or 1.754 µM or 1.754 pM, respectively. It implies that per µl of blood serum contains 10.559×10 14 TG molecules.…”

“…But these phenomena are especially significant and play an important role in nano structures only [11]. Their effects are less significant in micro structures and hence usually neglected [11,12]. In the case of nano/micro scale electrode separation, the pull-in stability of MEMS cantilever beam is mainly affected by some nano scale phenomena, i.e.…”

Gigahertz nanomechanical oscillators based on ions inside cyclic peptide nanotubes: a continuum study

“…Recent technological advancements in nanoscience and nanotechnology have led to the fabrication of many nanodevices [1][2][3][4]. Of the recommended nanoscale systems, nano-oscillators with operating frequencies in the gigahertz (GHz) range and possible potential applications including ultrafast optical filters and ultrasensitive nanoantennaes [5,6] have been of great technical interest to the nanotechnology community.…”

Modeling of Pull-In Instability of Nano/Micromirrors Under the Combined Effect of Capillary and Casimir Forces

“…Ramezani et al (2007; investigated the two point boundary value problem of the deflection of nano-cantilever subjected to Casimir and electrostatic forces using analytical and numerical methods to obtain the instability point of the nanobeam. Modeling and simulation of electrostatically actuated nano-switches under the effect of Casimir forces have been studied by Mojahedi et al (2009). Sirvent et al (2009) theoretically studied pull-in control in capacitive microswitches actuated by Casimir forces using external magnetic fields.…”