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This paper investigates the influences of the coupling element placed between nonlinear self-excited oscillators on synchronization. A simple model is newly developed by modifying the model treated in our previous report. The model consists of two oscillators subjected to Coulomb friction and a block installed in the coupling element. These elements are connected in series by coil springs and dashpots. In this model, stick-slip motions frequently occur due to the Coulomb friction. The synchronized solutions and the stability are analyzed accurately by the improved shooting method. The new model is validated by comparing the calculated results and the experimental results, and the features of the synchronized solutions are investigated. The results show that the frequencies and vibration patterns of the synchronized solutions closely correspond to the natural frequencies and natural modes of the three-degree-of-freedom system without the Coulomb friction, and that the existence regions of the synchronized solutions depend on the block mass as a parameter of coupling element. When the parameter is appropriately set, the existence regions expand. The mechanism is examined from the viewpoint of the energy transition between the oscillators.

journal of system design and dynamics

Synchronization Generated in Coupled Self-Excited Oscillators with Stick-Slip Motion: Coupling Condition between Oscillators for Existence Regions of Synchronization