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 macro-scale 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 macro-system’s dynamics and contact, there are combinations of parameters at the micro- and macro-scale 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.
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STLE/ASME 2008 International Joint Tribology Conference
October 20–22, 2008
Miami, Florida, USA
Conference Sponsors:
- Tribology Division
ISBN:
978-0-7918-4336-9
PROCEEDINGS PAPER
A Multi-Scale Account of Friction-Vibration Interaction
A. Sepehri,
A. Sepehri
Southern Illinois University at Carbondale, Carbondale, IL
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K. Farhang
K. Farhang
Southern Illinois University at Carbondale, Carbondale, IL
Search for other works by this author on:
A. Sepehri
Southern Illinois University at Carbondale, Carbondale, IL
K. Farhang
Southern Illinois University at Carbondale, Carbondale, IL
Paper No:
IJTC2008-71256, pp. 507-509; 3 pages
Published Online:
June 5, 2009
Citation
Sepehri, A, & Farhang, K. "A Multi-Scale Account of Friction-Vibration Interaction." Proceedings of the STLE/ASME 2008 International Joint Tribology Conference. STLE/ASME 2008 International Joint Tribology Conference. Miami, Florida, USA. October 20–22, 2008. pp. 507-509. ASME. https://doi.org/10.1115/IJTC2008-71256
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