Complex dynamics of an archetypal self-excited SD oscillator driven by moving belt friction

doi:10.1088/1674-1056/25/1/010502

中国物理B ›› 2016, Vol. 25 ›› Issue (1): 10502-010502.doi: 10.1088/1674-1056/25/1/010502

Complex dynamics of an archetypal self-excited SD oscillator driven by moving belt friction

Zhi-Xin Li(李志新), Qing-Jie Cao(曹庆杰), Léger Alain

1. School of Astronautics, Harbin Institute of Technology, Harbin 150001, China;
2. Laboratoire de Mécanique et d'Acoustique, CNRS, 31, Chemin Joseph Aiguier, 13402 Marseille Cedex 20, France

收稿日期:2015-06-28 修回日期:2015-08-06 出版日期:2016-01-05 发布日期:2016-01-05
通讯作者: Qing-Jie Cao E-mail:qingjiecao@hotmail.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11372082 and 11572096) and the National Basic Research Program of China (Grant No. 2015CB057405).

Complex dynamics of an archetypal self-excited SD oscillator driven by moving belt friction

Zhi-Xin Li(李志新)¹, Qing-Jie Cao(曹庆杰)¹, Léger Alain²

1. School of Astronautics, Harbin Institute of Technology, Harbin 150001, China;
2. Laboratoire de Mécanique et d'Acoustique, CNRS, 31, Chemin Joseph Aiguier, 13402 Marseille Cedex 20, France

Received:2015-06-28 Revised:2015-08-06 Online:2016-01-05 Published:2016-01-05
Contact: Qing-Jie Cao E-mail:qingjiecao@hotmail.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11372082 and 11572096) and the National Basic Research Program of China (Grant No. 2015CB057405).

摘要/Abstract

摘要：

We propose an archetypal self-excited system driven by moving belt friction, which is constructed with the smooth and discontinuous (SD) oscillator proposed by the Cao et al. and the classical moving belt. The moving belt friction is modeled as the Coulomb friction to formulate the mathematical model of the proposed self-excited SD oscillator. The equilibrium states of the unperturbed system are obtained to show the complex equilibrium bifurcations. Phase portraits are depicted to present the hyperbolic structure transition, the multiple stick regions, and the friction-induced asymmetry phenomena. The numerical simulations are carried out to demonstrate the friction-induced vibration of multiple stick-slip phenomena and the stick-slip chaos in the perturbed self-excited system. The results presented here provide an opportunity for us to get insight into the mechanism of the complex friction-induced nonlinear dynamics in mechanical engineering and geography.

关键词: self-excited smooth and discontinuous (SD) oscillator, multiple stick regions, friction-induced asymmetry, stick-slip chaos

Abstract:

Key words: self-excited smooth and discontinuous (SD) oscillator, multiple stick regions, friction-induced asymmetry, stick-slip chaos

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Ac (Low-dimensional chaos) 05.10.-a (Computational methods in statistical physics and nonlinear dynamics)

李志新, 曹庆杰, Léger Alain. Complex dynamics of an archetypal self-excited SD oscillator driven by moving belt friction[J]. 中国物理B, 2016, 25(1): 10502-010502.

Zhi-Xin Li(李志新), Qing-Jie Cao(曹庆杰), Léger Alain. Complex dynamics of an archetypal self-excited SD oscillator driven by moving belt friction[J]. Chin. Phys. B, 2016, 25(1): 10502-010502.

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Complex dynamics of an archetypal self-excited SD oscillator driven by moving belt friction

Complex dynamics of an archetypal self-excited SD oscillator driven by moving belt friction

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