Dynamics of a two DOF self-excited SD oscillator with dry friction

Zhixin Li; Ning Han; Zhiguo Li

doi:10.1117/12.2639113

17 May 2022 Dynamics of a two DOF self-excited SD oscillator with dry friction

Zhixin Li, Ning Han, Zhiguo Li

Proceedings Volume 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022); 122595X (2022) https://doi.org/10.1117/12.2639113
Event: 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), 2022, Kunming, China

Abstract

In this paper, we propose an archetypal two DOF self-excited system driven by moving belt friction, based upon the SD oscillator mounted on a moving belt. The moving belt friction is modeled as the Coulomb friction to formulate the mathematical model of the proposed two DOF self-excited SD oscillator. The stability of equilibria of the self-excited system are obtained to show the complex equilibrium bifurcations. A three-dimensional Poincaré map is constructed which characterize the dynamics of the system. Phase portraits are depicted to present the stick-slip periodic motion, stick-slip chaotic motion, and other friction-induced vibration phenomena.

Citation Download Citation

Zhixin Li, Ning Han, and Zhiguo Li "Dynamics of a two DOF self-excited SD oscillator with dry friction", Proc. SPIE 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), 122595X (17 May 2022); https://doi.org/10.1117/12.2639113

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