Universal approach for different friction vibration scenarios
Main Mechanisms fro Friction Induced Vibration

Comparing the presentations of the three mechanisms that generate frictional vibrations, jerky slip, arc-boutement and mode coupling, we can see that the mechanical models have many points in common: use of tangential stiffnesses, degrees of freedom in the direction of friction with enrichments in the friction laws (for jerky slip) or in the degrees of freedom (mode coupling).

The question of a universal model to identify the mechanism at work, rather than postulating it, is a legitimate one, and has already been addressed in