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Bifurcation Behavior of a 1DOF Sliding Friction Oscillator
Author(s) -
Schwarzer Daniel,
Hetzler Hartmut,
Seemann Wolfgang
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610147
Subject(s) - bifurcation , mechanics , classical mechanics , physics , dynamical friction , stability (learning theory) , exponential function , control theory (sociology) , mathematical analysis , mathematics , materials science , nonlinear system , computer science , quantum mechanics , control (management) , machine learning , artificial intelligence , astrophysics
Abstract This article deals with different types of friction models and their influence on the behavior of a simple 1 degree‐of‐freedom (DOF) sliding friction oscillator which is in literature commonly referred to as “mass‐on‐a‐belt”‐oscillator. The examined friction characteristics are assumed to be proportional to the applied normal force and only dependend on the relative velocity between the mass and the belt. For an exponential and a generalized cubic friction characteristic, the linear stability of the steady‐state and the bifurcation behavior in the sliding domain are examined. It is shown that the resulting phase plots of the observed system are strongly dependent on the chosen friction characteristic. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)