In this paper, we conduct numerical analysis to study the effects of friction on the dynamic response of a single degree of freedom mechanical system. Two different friction models, the velocity dependent friction model and the LuGre friction model, have been used to model the friction interface. Bifurcation analysis has been conducted using equilibrium and limit cycle continuation methods. With system viscous damping as the bifurcation parameter, a reverse subcritical Hopf bifurcation is observed in the case of velocity dependent model. In the case of the LuGre model for the same bifurcation parameter, a reverse supercritical Hopf bifurcation is observed at lower velocities but at higher velocities it changes to a reverse subcritical Hopf bifurcation. A fold bifurcation of the limit cycles is also seen at higher velocities for the LuGre model.
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ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
September 24–28, 2005
Long Beach, California, USA
Conference Sponsors:
- Design Engineering Division and Computers and Information in Engineering Division
ISBN:
0-7918-4743-8
PROCEEDINGS PAPER
Study of Dynamic Characteristics of Friction: A Comparative Analysis of the Velocity Dependent and the LuGre Friction Model
Firoz Ali Jafri,
Firoz Ali Jafri
University of Cincinnati, Cincinnati, OH
Search for other works by this author on:
David F. Thompson
David F. Thompson
University of Cincinnati, Cincinnati, OH
Search for other works by this author on:
Firoz Ali Jafri
University of Cincinnati, Cincinnati, OH
David F. Thompson
University of Cincinnati, Cincinnati, OH
Paper No:
DETC2005-84533, pp. 1989-1997; 9 pages
Published Online:
June 11, 2008
Citation
Jafri, FA, & Thompson, DF. "Study of Dynamic Characteristics of Friction: A Comparative Analysis of the Velocity Dependent and the LuGre Friction Model." Proceedings of the ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 6: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C. Long Beach, California, USA. September 24–28, 2005. pp. 1989-1997. ASME. https://doi.org/10.1115/DETC2005-84533
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