Experimental demonstration of transient resonance capture in a system of two coupled oscillators with essential stiffness nonlinearity

Gaëtan Kerschen, D. Michael McFarland, Jeffrey J. Kowtko, Young S. Lee, Lawrence A. Bergman, Alexander F. Vakakis

Research output: Contribution to journalArticlepeer-review

Abstract

The purpose of this paper is to report an experimental study of transient resonance capture that may occur in a system of two coupled oscillators with essential (i.e., nonlinearizable) nonlinearity. It is shown that during transient resonance capture the two oscillators are in a state of resonance, the frequency of which varies with time, which leads to targeted nonlinear energy transfer. Further evidence of resonance capture is a non-time-like behavior of the phase difference between the oscillators; this quantity is monitored using the Hilbert transform or the Huang-Hilbert transform in the case of multifrequency response signals.

Original languageEnglish (US)
Pages (from-to)822-838
Number of pages17
JournalJournal of Sound and Vibration
Volume299
Issue number4-5
DOIs
StatePublished - Feb 6 2007

ASJC Scopus subject areas

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

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