In this paper, we present an analytical method to investigate the behavior of a two-degree-of-freedom oscillator excited by dry friction. The system consists of two masses connected by linear springs. These two masses are in contact with a driving belt moving at a constant velocity. The contact forces between the masses and the belt are obtained assuming Coulomb’s friction law. Two families of periodic motions are found in closed form. The first one includes stick-slip oscillations with two switches per period, the second one is also composed of stick-slip motion, but includes three switches per period. In both cases, the initial conditions and the time duration of each kind of motions (stick or slip phases) are obtained in analytical form.
Skip Nav Destination
e-mail: mpascal@iup.univ-evry.fr
Article navigation
July 2008
Research Papers
Dynamics of Coupled Oscillators Excited by Dry Friction
Madeleine Pascal
Madeleine Pascal
Laboratoire IBISC, FRE 2873,
e-mail: mpascal@iup.univ-evry.fr
Universite d’Evry Val d’Essonne
, 40 rue du Pelvoux, 91020 Evry cedex, France
Search for other works by this author on:
Madeleine Pascal
Laboratoire IBISC, FRE 2873,
Universite d’Evry Val d’Essonne
, 40 rue du Pelvoux, 91020 Evry cedex, Francee-mail: mpascal@iup.univ-evry.fr
J. Comput. Nonlinear Dynam. Jul 2008, 3(3): 031009 (6 pages)
Published Online: May 5, 2008
Article history
Received:
July 2, 2007
Revised:
November 15, 2007
Published:
May 5, 2008
Citation
Pascal, M. (May 5, 2008). "Dynamics of Coupled Oscillators Excited by Dry Friction." ASME. J. Comput. Nonlinear Dynam. July 2008; 3(3): 031009. https://doi.org/10.1115/1.2908272
Download citation file:
Get Email Alerts
Investigation of Nonlinear Dynamic Behaviors of Vertical Rotor System Supported by Aerostatic Bearings
J. Comput. Nonlinear Dynam (January 2025)
Electric Circuit Analogs of First-Order Dual-Phase-Lag Diffusion
J. Comput. Nonlinear Dynam
Related Articles
Wavelet Analysis of Stick-Slip Signals in Oscillators With Dry-Friction Contact
J. Vib. Acoust (April,2005)
Two-Frequency Oscillation With Combined Coulomb and Viscous Frictions
J. Vib. Acoust (October,2002)
A Semi-Analytical Study of Stick-Slip Oscillations in Drilling Systems
J. Comput. Nonlinear Dynam (April,2011)
Effect of Tangential Dither Signal on Friction Induced Oscillations in an SDOF Model
J. Comput. Nonlinear Dynam (July,2007)
Related Proceedings Papers
Related Chapters
Ultra High-Speed Microbridge Chaos Domain
Intelligent Engineering Systems Through Artificial Neural Networks, Volume 17
Influence of Lubrication on Wear and Friction on O-Rings in Contact with Yellow Metal
Hydraulic Failure Analysis: Fluids, Components, and System Effects
Oscillation of Airway Smooth Muscle as a Potential Non-Medicinal Treatment for Asthma
Biomedical Applications of Vibration and Acoustics in Therapy, Bioeffect and Modeling