Exploiting knowledge of jump-up and jump-down frequencies to determine the parameters of a Duffing oscillator

Roszaidi Ramlan, Michael J. Brennan, Ivana Kovacic, Brian R. Mace, Steve Burrow

Research output: Contribution to journalArticle (Academic Journal)peer-review

9 Citations (Scopus)
298 Downloads (Pure)

Abstract

This work concerns the application of certain non-linear phenomena – jump frequencies in a base-excited Duffing oscillator – to the estimation of the parameters of the system. First, approximate analytical expressions are derived for the relationships between the jump-up and jump-down frequencies, the damping ratio and the cubic stiffness coefficient. Then, experimental results, together with the results of numerical simulations, are presented to show how knowledge of these frequencies can be exploited.
Original languageEnglish
Pages (from-to)282-291
Number of pages10
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume37
Early online date27 Jan 2016
DOIs
Publication statusPublished - Aug 2016

Keywords

  • Duffing oscillator
  • Base excitation
  • Jumps
  • Cubic stiffness coefficient
  • Viscous damping coefficient

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