A Modified Linear Integral Resonant Controller for suppressing jump-phenomenon and hysteresis in micro-cantilever beam structures

James D J Maclean*, Sumeet S Aphale

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

This paper demonstrates the effectiveness of a Modified Linear Integral Resonant Controller (MIRC) based on its original LTI cousin, known just as the ‘IRC’, for suppressing Jump-Phenomenon and hysteresis found in Micro-Cantilevers. A Method of Multiple Scales frequency response is derived, explored and compared with a Runge-Kutta based numerical integration method in order to understand any shortcomings in approximate analytical methods for the analysis of closed-loop nonlinear systems with the inclusion of a stability analysis. It is found that there exist some mild inconsistencies when comparing closed-loop Method of Multiple Scales to traditional numerical integration. A suitably designed Modified Integral Resonant Controller is implemented in closed-loop. Both analytical and numerical results agree with each other and show significant damping performance. Efficacy of the proposed control scheme is validated via frequency response plots, phase portraits and quiver plots.

Original languageEnglish
Article number115365
Number of pages17
JournalJournal of Sound and Vibration
Volume480
Early online date5 May 2020
DOIs
Publication statusE-pub ahead of print - 5 May 2020

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Acoustics and Ultrasonics

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