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Bifurcation Behavior and Attractors in Vehicle Dynamics

Hochlenert, D. and von Wagner, U. and Hornig, S. (2009):
Bifurcation Behavior and Attractors in Vehicle Dynamics.
In: Machine Dynamic Problems, pp. 57-73, 33, (2), [Article]

Item Type: Article
Erschienen: 2009
Creators: Hochlenert, D. and von Wagner, U. and Hornig, S.
Title: Bifurcation Behavior and Attractors in Vehicle Dynamics
Language: English
Journal or Publication Title: Machine Dynamic Problems
Volume: 33
Number: 2
Divisions: 16 Department of Mechanical Engineering > Dynamics and Vibrations
16 Department of Mechanical Engineering
Date Deposited: 19 Sep 2012 14:02
Alternative keywords:
Alternative keywordsLanguage
self-excited vibrations, brake squeal, railway wheelset, Hopf bifurcation, center manifold, domains of attractionEnglish
Alternative Abstract:
Alternative abstract Language
Nonlinear self-excited systems in vehicle dynamics are discussed using the examples of squealing automotive disk brakes and the stability behavior of a railway wheelset. Both systems show self-excited vibrations for specific operation states. The self-excited vibra- tions are due to friction forces between pad and disk in the case of the automotive disk and due to contact forces in the case of the railway wheelset respectively. The analysis of the nonlinear equations of motion shows that the trivial solution looses stability either through a sub- or through a supercritical Hopf bifurcation depending on the system’s parameters. In the case of a subcritical Hopf bifurcation two stable solutions coexist and the initial conditions determine which solution emerges. The properties of the nonlinear systems such as critical velocities, limit cycle amplitudes and attractors of coexisting so- lutions are calculated using center manifold reduction and normal form theory.English
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