Summary

International Symposium on Nonlinear Theory and Its Applications

2015

Session Number:C3L-D

Session:

Number:C3L-D-3

Bifurcation Phenomenon from Stick-Slip Vibration to Slip Vibration in the Non-Autonomous System with Dry Friction

Masahiro Wakai,  Hiroki Amano,  Yutsuki Ogura,  Naohiko Inaba,  Hiroyuki Asahara,  Takuji Kousaka,  

pp.934-937

Publication Date:2015/12/1

Online ISSN:2188-5079

DOI:10.34385/proc.47.C3L-D-3

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Summary:
In the non-autonomous system with dry friction, the bifurcation phenomena are observed upon varying parameters such as the coefficient of friction and the amplitude of the external force. In this paper, we discuss the bifurcation phenomenon from stick-slip vibration to slip vibration in the non-autonomous system with dry friction. First, we explain the physical model of the non-autonomous system with dry friction. Next, we define the Poincare map by focusing on the local sections and the time. Finally, we investigate the bifurcation phenomenon.