Detection of cyclic-fold bifurcation in electrostatic MEMS transducers by motion-induced current

Sangtak Park*, Mahmoud Khater, David Effa, Eihab Abdel-Rahman, Mustafa Yavuz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

This paper presents a new detection method of cyclic-fold bifurcations in electrostatic MEMS transducers based on a variant of the harmonic detection of resonance method. The electrostatic transducer is driven by an unbiased harmonic signal at half its natural frequency, ω a = 1/2 ω o. The response of the transducer consists of static displacement and a series of harmonics at 2 ω a, 4 ω a, and so on. Its motion-induced current is shifted by the excitation frequency, ω a, to appear at 3 ω a, 5 ω a, and higher odd harmonics, providing higher sensitivity to the measurement of harmonic motions. With this method, we successfully detected the variation in the location of the cyclic-fold bifurcation of an encapsulated electrostatic MEMS transducer. We also detected a regime of tapping mode motions subsequent to the bifurcation.

Original languageEnglish
Article number085007
JournalJournal of Micromechanics and Microengineering
Volume27
Issue number8
DOIs
StatePublished - 20 Jul 2017

Bibliographical note

Publisher Copyright:
© 2017 IOP Publishing Ltd.

Keywords

  • bifurcation-based sensing
  • cyclic-fold bifurcation
  • dynamic pull-in
  • encapsulated MEMS
  • harmonic detection of resonance (HDR)
  • motion-induced current

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Mechanics of Materials
  • Mechanical Engineering
  • Electrical and Electronic Engineering

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