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Bifurcation analysis of a stochastic non‐smooth friction model
Author(s) -
Gaus Nicole,
Proppe Carsten
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910114
Subject(s) - bifurcation , discontinuity (linguistics) , friction coefficient , mechanics , statistical physics , vibration , dry friction , mathematics , physics , nonlinear system , classical mechanics , mathematical analysis , materials science , quantum mechanics , composite material
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)