Nonsmooth dynamics of a double-belt friction oscillator

To investigate the dynamics of these systems, a model of a visco-elastic oscillator dragged by two different rough belts moving with constant velocity and possibly colliding on a rigid obstacle (DBO) is proposed and analysed. Two types of external excitation have been considered: in the first case energy is uniquely transferred from the moving supports to the mass via a velocity-dependent friction force (autonomous PSS); in the second case a harmonic driving force is also applied to the mass (non-autonomous PSS). The interactions between the mass and the belts and the collisions on the obstacle lead to multiple discontinuity boundaries in the phase plane: aim of this study is to investigate how the number and positions of the discon-tinuity boundaries affect the dynamics of the system and the associated bifurcation scenarios.