期刊
JOURNAL OF SOUND AND VIBRATION
卷 472, 期 -, 页码 -出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jsv.2020.115203
关键词
Nonlinear dynamics; Friction-induced vibrations; Mode-coupling; Chaos; Multi-stability
资金
- German Research Foundation (DFG) [PA 846/5-1, WA 564/37-1, Ho 3851/12-1]
This work reports observations of complex dynamical behavior and chimera-alike dynamics in a self-excited frictional oscillator with a weak stiffness nonlinearity. Multi-stability in the form of several co-existing stable limit cycle solutions are identified for a wide range of system parameters. For a particular system configuration, an unstable periodic orbit is found that gives rise to irregular long-term behavior. Trajectories starting from this orbit turn out to be hyper-chaotic with multiple positive Lyapunov exponents. Trajectories starting from different regions in phase space converge to stable limit cycles. Hence, this numerical study reveals co-existing regular and irregular dynamics at a fixed system configuration. This sensitive dependence of the qualitative system dynamics on initial conditions adds new aspects to a better understanding of the rich dynamic behavior of structures subjected to friction-induced vibrations. (C) 2020 Elsevier Ltd. All rights reserved.
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