Modeling of an impact system with a drift

E. Pavlovskaia*, M. Wiercigroch, C Grebogi

*Corresponding author for this work

Research output: Contribution to journalArticle

84 Citations (Scopus)

Abstract

A physical model to examine impact oscillators has been developed and analyzed. The model accounts for the viscoelastic impacts and is capable to mimic the dynamics of a bounded progressive motion (a drift), which is important in practical applications. The system moves forward in stick-slip phases, and its behavior may vary from periodic to chaotic motion. A nonlinear dynamic analysis reveals a complex behavior and that the largest drift is achieved when the responses switch from periodic to chaotic, after a cascade of subcritical bifurcations to period one. Based on this fact, a semianalytical solution is constructed to calculate the progression of the system for periodic regimes and to determine conditions when periodicity is lost.

Original languageEnglish
Article number056224
Number of pages9
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume64
Issue number5
Early online date25 Oct 2001
DOIs
Publication statusPublished - 1 Nov 2001

Keywords

  • DRY FRICTION MODEL
  • GRAZING BIFURCATIONS
  • RATE PREDICTION
  • OSCILLATOR
  • DYNAMICS
  • BEHAVIOR

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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