Using a nonlinear model of a two disk brake system, coupled equations of motion are found for their frictional interaction. The mathematical formulation relates the tribological events at micron scale and the macroscopic scale vibration response of a two-disk brake system. This is accomplished by a viscoelastic account of interaction at the micron scale, its statistical quantification through the approximate analytical representation of the statistical expectation of contact force and the introduction of the contact force into the macroscale dynamics of the two-disk system. Steady-state analysis of the system establishes the relation between friction torque and speed and supports observed behavior of many mechanical systems with friction. It is shown that, as a result of coupling of the macrosystem’s dynamics and contact, there are combinations of parameters at the micro- and macroscale that yield negative slope in friction torque/sliding speed relation, a well known source of dynamic instability. This results in an effective negative damping that tends to decrease with decrease in the normal load and/or increase in structural damping of the system.
Skip Nav Destination
e-mail: farhang@siu.edu
Article navigation
January 2006
Research Papers
A Non-Phenomenological Account of Friction/Vibration Interaction in Rotary Systems
Kambiz Farhang,
Kambiz Farhang
Department of Mechanical Engineering and Energy Processes,
e-mail: farhang@siu.edu
Southern Illinois University at Carbondale
, Carbondale, Illinois 62901-6603
Search for other works by this author on:
Aik-Liang Lim
Aik-Liang Lim
Department of Mechanical Engineering and Energy Processes,
Southern Illinois University at Carbondale
, Carbondale, Illinois 62901-6603
Search for other works by this author on:
Kambiz Farhang
Department of Mechanical Engineering and Energy Processes,
Southern Illinois University at Carbondale
, Carbondale, Illinois 62901-6603e-mail: farhang@siu.edu
Aik-Liang Lim
Department of Mechanical Engineering and Energy Processes,
Southern Illinois University at Carbondale
, Carbondale, Illinois 62901-6603J. Tribol. Jan 2006, 128(1): 103-112 (10 pages)
Published Online: June 12, 2005
Article history
Received:
February 25, 2004
Revised:
June 12, 2005
Citation
Farhang, K., and Lim, A. (June 12, 2005). "A Non-Phenomenological Account of Friction/Vibration Interaction in Rotary Systems." ASME. J. Tribol. January 2006; 128(1): 103–112. https://doi.org/10.1115/1.2000978
Download citation file:
Get Email Alerts
Related Articles
Simulations and Experiments of a Nonlinear Aircraft Braking System With Physical Dispersion
J. Vib. Acoust (August,2010)
Effects of Crank Length on the Dynamics Behavior of a Flexible Connecting Rod
J. Vib. Acoust (July,2001)
The Kinematics of Wheat Struck by a Wind Gust
J. Appl. Mech (September,2000)
On the Proper Orthogonal Modes and Normal Modes of Continuous Vibration Systems
J. Vib. Acoust (January,2002)
Related Proceedings Papers
Related Chapters
Fundamentals of Structural Dynamics
Flow Induced Vibration of Power and Process Plant Components: A Practical Workbook
Engineering Design about Electro-Hydraulic Intelligent Control System of Multi Axle Vehicle Suspension
International Conference on Instrumentation, Measurement, Circuits and Systems (ICIMCS 2011)
Backlash
Design and Application of the Worm Gear