Abstract
The self-synchronized phenomena generated in a coupled self-excited oscillators acting on Coulomb's friction are investigated experimentally and analytically. This system consists of two oscillators coupled in series and set up on a belt conveyer. In this system, the stick-slip vibration often occurs resulting from the friction. The shooting method is improved for such discontinuous systems to analyze the self-synchronized solutions and its stability. As results, there are mainly two stable regions on the branch of the self-synchronized solution. In addition, we analytically shown the unstable regions alternately exist on the branch of Model, which the blocks vibrate nearly in-phase, caused by the internal resonance.
