Teufel, A., Steindl, A., & Troger, H. (2005). On nonsmooth bifurcations in a simple friction oscillator. Proceedings in Applied Mathematics and Mechanics, 5(1), 139–140. https://doi.org/10.1002/pamm.200510050
We consider a simple friction oscillator with one degree of freedom using a non-smooth, three-parameter fricion model accounting for both, a decreasing and increasing dynamic friction force depending on the relative velocity. An analysis of global non-smooth bifurcations is performed numerically and parameter domains are computed for the existence of stick-slip oscillations. Special emphasis is placed upon the occurrence of stick-slip oscillations with negative relative velocity.