Measurement of Chaotic Vibration in a Symmetrically Piecewise Linear Oscillator

Marian Wiercigroch*, Victor W.T. Sin, Keyu Li

*Corresponding author for this work

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

The paper describes a measurement of chaotic oscillations occurring in a base excited symmetrically bilinear oscillator. The details of the current experimental rig and possible modifications to improve the measurement accuracy are explained. The regions of chaotic motion predicted theoretically were confirmed by the experimental results arranged into bifurcation diagrams, which were obtained by numerical and experimental means. Clearance and modulus of the external force were used as branching parameters. The discussion of the system dynamics is based on bifurcation diagrams, Lissajous curves and power spectra. The investigated system tended to be periodic for large clearances and chaotic for small ones. This picture is repeated for the modulus variation, where periodic motion occurred for its small values and chaos dominated for larger forcing.

Original languageEnglish
Pages (from-to)209-220
Number of pages12
JournalChaos, Solitons and Fractals
Volume9
Issue number1-12
DOIs
Publication statusPublished - 1 Jan 1998

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Bifurcation Diagram
Clearance
Piecewise Linear
Bowditch curve
Modulus
Vibration
Chaotic Motion
Periodic Motion
Power Spectrum
System Dynamics
Forcing
Branching
Chaos
Oscillation
Experimental Results

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Measurement of Chaotic Vibration in a Symmetrically Piecewise Linear Oscillator. / Wiercigroch, Marian; Sin, Victor W.T.; Li, Keyu.

In: Chaos, Solitons and Fractals, Vol. 9, No. 1-12, 01.01.1998, p. 209-220.

Research output: Contribution to journalArticle

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