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

• Published in: Chinese physics B Vol. 25; no. 1; pp. 480 - 488
• Main Author: 李志新 曹庆杰 Leger Alain
• Format: Journal Article
• Language: English
• Published: 01.01.2016
• Subjects: Belt conveyors; Belt drives; Dynamical systems; Dynamics; Friction; Mathematical models; Nonlinear dynamics; Oscillators; 复杂动力学; 扰动系统; 摩擦驱动; 移动; 粘滑现象; 自激振荡器; 非线性动力学
• ISSN: 1674-1056; 2058-3834; 1741-4199
• DOI: 10.1088/1674-1056/25/1/010502

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.