Analysis of dynamic pull-in voltage of a graphene MEMS model

Piotr Skrzypacz, Shirali Kadyrov, Daulet Nurakhmetov, Dongming Wei

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)581-589
Number of pages9
JournalNonlinear Analysis: Real World Applications
Publication statusPublished - Feb 2019


  • Bifurcation
  • Graphene
  • MEMS
  • Nonlinear oscillator
  • Periodic solution
  • Pull-in

ASJC Scopus subject areas

  • Analysis
  • Engineering(all)
  • Economics, Econometrics and Finance(all)
  • Computational Mathematics
  • Applied Mathematics

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