• 文献标题:   Analysis of dynamic pull-in voltage of a graphene MEMS model
  • 文献类型:   Article
  • 作  者:   SKRZYPACZ P, KADYROV S, NURAKHMETOV D, WEI DM
  • 作者关键词:   mems, graphene, pullin, nonlinear oscillator, bifurcation, periodic solution
  • 出版物名称:   NONLINEAR ANALYSISREAL WORLD APPLICATIONS
  • ISSN:   1468-1218
  • 通讯作者地址:   Nazarbayev Univ
  • 被引频次:   12
  • DOI:   10.1016/j.nonrwa.2018.07.025
  • 出版年:   2019

▎ 摘  要

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. (C) 2018 Elsevier Ltd. All rights reserved.