Analysis of dynamic pull-in voltage of a graphene MEMS model. (February 2019)

• Record Type: Journal Article
• Authors: Skrzypacz, Piotr; Kadyrov, Shirali; Nurakhmetov, Daulet; Wei, Dongming
• Is Part Of: Nonlinear analysis. Volume 45(2019)
• Page Start: 581
• Page End: 589
• Publication Date: 2019-02
• Subjects: MEMS -- Graphene -- Pull-in -- Nonlinear oscillator -- Bifurcation -- Periodic solution; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2018.07.025
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: Bifurcation analysis of dynamic pull-in for a lumped mass model is presented. The restoring force of the spring is derived based on the nonlinear constitutive stress–strain law and the driving force of the mass attached to the spring is based on the electrostatic Coulomb force, respectively. The analysis is performed on the resulting nonlinear spring–mass equation with initial conditions. The necessary and sufficient conditions for the existence of periodic solutions are derived analytically and illustrated numerically. The conditions for bifurcation points on the parameters associated with the second-order elastic stiffness constant and the voltage are determined.