Chattering bifurcations in a Duffing unilateral vibro-impact system

Jin Qian Feng, Wei Xu, Yu Jun Niu

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

Abstract

A tail-mapping is introduced to deal with the tail impacts caused by the chattering, and based on which, an effective numerical method is suggested to simulate the chattering in the vibro-impact system. As an illustrative example, a Duffing unilateral vibro-impact system is investigated. The results show the evidence of complete and incomplete chattering. We also investigate two novel chattering bifurcations, including transitions from complete to incomplete chattering and incomplete chattering period to aperiodic motion.

Original languageEnglish
Pages (from-to)157-163
Number of pages7
JournalWuli Xuebao/Acta Physica Sinica
Volume59
Issue number1
StatePublished - Jan 2010

Keywords

  • Chattering bifurcation
  • Duffing vibro-impact system
  • Tail mapping

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