NONLINEAR-ANALYSIS OF THE STICK-SLIP BIFURCATION IN THE CREEP-CONTROLLED REGIME OF DRY FRICTION

We perform an experimental study of the amplitude and frequency shift of the stick-slip (SS) oscillations of a paper-on-paper block and spring system close to the SS-steady-sliding Hopf bifurcation. The confrontation of the experimental results with a weakly nonlinear analytical analysis of the dynamics and with direct numerical calculations yields very satisfactory agreement with the model of creep-controlled dry friction proposed by Heslot et al. [Phys. Rev. E 49, 4973 (1994)]. © 1995 The American Physical Society.