Abstract This work investigates the entrainment and synchronisation in stick – slip oscillators. A spring – mass placed on a uniformly moving belt in the presence of friction is taken as the model and a cubic Stirbeck friction curve is considered. The entrainment of the oscillator is studied both in its stick – slip phase and pure slip phase. It is seen that entrainment in stick – slip phase is realized by gradually eliminating the stick phase; the entrained oscillator undergoes pure slip oscillations. But in pure slip phase, external force introduces a stick phase which gradually disappears on total entrainment. It is also shown that entrainment in both phases is accompanied by a decrease in oscillator amplitude. It is further shown that the critical force needed for entrainment is higher in the stick – slip phase than in the pure slip one. In coupled stick – slip oscillators, detuning is considered in belt velocities and here too mutual synchronisation is accompanied by decrease in amplitude.
C. Jacob, Eldhose, P. B., and B. Balaram, “Entrainment and Synchronization of Stick – Slip Oscillators”, Procedia Engineering, vol. 144, pp. 1015 - 1022, 2016.