From complete to incomplete chattering: A novel route to chaos in impacting cam-follower systems

R. Alzate*, P. T. Piiroinen, M. Di Bernardo

*Corresponding author for this work

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

10 Citations (Scopus)

Abstract

In this paper we discuss a novel route to chaos in cam-follower systems, a class of mechanical devices of relevance in applications. We show that a sudden transition to chaos is observed when a complete chattering motion (characterized theoretically by infinitely many impacts) is interrupted. Using numerical computations and semi-analytical methods we show that a cascade of grazing bifurcations is then originated, leading the system into chaos. This novel phenomenon is described using an appropriate model that is shown to predict correctly the numerical observations. The results are used to explain the transition to chaos observed in an experimental cam-follower system recently presented in the literature.

Original languageEnglish
Article number1250102
JournalInternational Journal of Bifurcation and Chaos
Volume22
Issue number5
DOIs
Publication statusPublished - 1 May 2012

Keywords

  • Bifurcations
  • cam-follower
  • chattering
  • impact mapping

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