A Minimal Model to Explore the Influence of Distant Modes on Mode-Coupling Instabilities

2010 ◽  
Author(s):  
Sebastian Kruse ◽  
Norbert Hoffmann ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
Minimal Model ◽  
Mode Coupling

Does a Predictive Minimal Model of Friction-Induced Vibration Exist?

2010 ◽  
Author(s):  
Tore Butlin ◽  
Jim Woodhouse
Keyword(s):  
Minimal Model ◽  
Mode Coupling ◽  
Test System ◽  
Minimal Models ◽  
Pin On Disc ◽  
Limited Frequency ◽  
Extensive Program ◽  
Negative Damping ◽  
Model Of Friction ◽  
Friction Induced Vibration

Highly idealised models of friction-induced vibration have been motivated by an attempt to capture what is essential to the phenomenon. This approach has resulted in a few simple mechanisms that are thought to capture common routes to instability. This paper aims to determine how well these perform as approximations to a more complex system, and whether the essential ingredients needed for a minimal model can be identified. We take a reduced-order model that exemplifies ‘mode-coupling’ and explore the extent to which it can approximate predictions based on an experimentally identified test-system. For the particular test system under study, two-mode ‘mode-coupling’ is rarely a good approximation and three modes are usually required to model a limited frequency range. We then compare predictions with results from an extensive program of sliding contact tests on a pin-on-disc rig in order to identify which ingredients are needed to explain observed squeal events. The results suggest that several minimal models would be needed to describe all observed squeal initiations, but the ‘negative-damping’ route to instability, which requires a velocity-dependent friction law, convincingly accounts for one cluster.

A minimal model for studying properties of the mode-coupling type instability in friction induced oscillations

2002 ◽  
Vol 29 (4) ◽  
pp. 197-205 ◽  
Author(s):  
Norbert Hoffmann ◽  
Michael Fischer ◽  
Ralph Allgaier ◽  
Lothar Gaul
Keyword(s):  
Minimal Model ◽  
Mode Coupling ◽  
Coupling Type

Glass transition for dipolar hard spheres: a mode-coupling approach

1998 ◽  
Vol 77 (2) ◽  
pp. 305-311 ◽  
Author(s):  
Thomas Scheidsteger, Rolf Schilling
Keyword(s):  
Glass Transition ◽  
Mode Coupling ◽  
Hard Spheres ◽  
Coupling Approach

Reduced sampling protocols in estimation of insulin sensitivity and glucose effectiveness using the minimal model in NIDDM

Diabetes ◽  
1993 ◽  
Vol 42 (11) ◽  
pp. 1635-1641 ◽  
Author(s):  
P. A. Coates ◽  
R. L. Ollerton ◽  
S. D. Luzio ◽  
I. S. Ismail ◽  
D. R. Owens
Keyword(s):  
Insulin Sensitivity ◽  
Minimal Model ◽  
Glucose Effectiveness ◽  
Sampling Protocols
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