Dynamical Behaviours of an Archetypal Self-excited SD Oscillator

Abstract eng:
In this paper, we propose an archetypal self-excited smooth and discontinuous oscillator, which is constructed with the smooth and discontinuous (SD) oscillator and the classical moving belt. Phase portraits are depicted to present the hyperbolic structure transition, multiple stick regions and the friction-induced asymmetry phenomena. Chaotic thresholds of the perturbed self-excited SD oscillator are derived by using the Melnikov’s method. The numerical simulations are carried out to demonstrate the friction-induced vibration of multiple stick-slip phenomena and the stick-slip chaos for the perturbed self-excited system.

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