Bifurcation analysis of a stochastic non-smooth friction model

Non‐smooth friction systems such as systems with dry friction show several bifurcation phenomena. The discontinuity of these so called slip‐stick vibrations makes these systems interesting and there has been a lot of research in this field, see for example Hinrichs [1]. Due to the non‐smooth friction force even the deterministic system shows a rich bifurcation behavior. Measurements indicate that the friction coefficient which plays a large role in the system behavior is not deterministic but can be described as a friction characteristic with added white noise. Therefore, the stochastic characteristic is introduced into the non‐smooth system and the change of the bifurcation behavior is studied. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)