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Existence of Stick-Slip Periodic Solutions in a Dry Friction Oscillator |
| LI Qun-Hong1**, CHEN Yu-Ming1, QIN Zhi-Ying2
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1College of Mathematics and Information Science, Guangxi University, Nanning 530004
2School of Mechanical and Electrical Engineering, Hebei University of Science and Technology, Shijiazhuang 050054
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| Cite this article: |
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LI Qun-Hong, CHEN Yu-Ming, QIN Zhi-Ying 2011 Chin. Phys. Lett. 28 030502 |
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Abstract The stick-slip behavior in friction oscillators is very complicated due to the non-smoothness of the dry friction, which is the basic form of motion of dynamical systems with friction. In this paper, the stick-slip periodic solution in a single-degree-of-freedom oscillator with dry friction is investigated in detail. Under the assumption of kinetic friction being the Coulomb friction, the existence of the stick-slip periodic solution is considered to give out an analytic criterion in a class of friction systems. A two-parameter unfolding diagram is also described. Moreover, the time and states of motion on the boundary of the stick and slip motions are semi-analytically obtained in a single stick-slip period.
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| Keywords:
05.45.-a
02.03.Oz
05.45.Pq
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Received: 05 December 2010
Published: 28 February 2011
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