Open AccessChattering bifurcations in a Duffing unilateral vibro-impact system
Author(s) -
Jinqian Feng,
Wei Xu,
Niu Yu-Jun
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.157
Subject(s) - aperiodic graph , duffing equation , control theory (sociology) , computer science , mathematics , mechanics , physics , nonlinear system , artificial intelligence , combinatorics , control (management) , quantum mechanics
A tail-mapping is introduced to deal with the tail impacts caused by the chatteringand based on whichan effective numerical method is suggested to simulate the chattering in the vibro-impact system. As an illustrative examplea Duffing unilateral vibro-impact system is investigated. The results show the evidence of complete and incomplete chattering. We also investigate two novel chattering bifurcationsincluding transitions from complete to incomplete chattering and incomplete chattering period to aperiodic motion.