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

    19 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

    Research Groups and Themes

    • Engineering Mathematics Research Group
    • Bristol BioDesign Institute

    Keywords

    • synthetic biology
    • Bifurcations
    • impact mapping
    • chattering
    • cam-follower

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