On the application of Sturm’s theorem to analysis of dynamic pull-in for a graphene-based MEMS model

D. Omarov, D. Nurakhmetov, D. Wei, P. Skrzypacz

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

A novel procedure based on the Sturm’s theorem for real-valued polynomials is developed to predict and identify periodic and non-periodic solutions for a graphene-based MEMS lumped parameter model with general initial conditions. It is demonstrated that under specific conditions on the lumped parameters and the initial conditions, the model has certain periodic solutions and otherwise there are no such solutions. This theoretical procedure is made practical by numerical implementations with Python scripts to verify the predicted behaviour of the solutions. Numerical simulations are performed with sample data to justify by this procedure the analytically predicted existence of periodic solutions.

Original languageEnglish
Pages (from-to)59-72
Number of pages14
JournalApplied and Computational Mechanics
Volume12
Issue number1
DOIs
Publication statusPublished - Jan 1 2018

Keywords

  • Existence of solutions
  • Graphene
  • MEMS
  • Periodic solutions
  • Pull-in
  • Singularity
  • Sturm’s theorem

ASJC Scopus subject areas

  • Biophysics
  • Computational Mechanics
  • Civil and Structural Engineering
  • Fluid Flow and Transfer Processes
  • Computational Mathematics

Fingerprint Dive into the research topics of 'On the application of Sturm’s theorem to analysis of dynamic pull-in for a graphene-based MEMS model'. Together they form a unique fingerprint.

Cite this