Numerical analysis of onset of stick-slip motion by rate- and state-dependent friction model

2016 ◽  
Vol 2016 (0) ◽  
pp. OS03-04
Author(s):  
Takeru MATSUURA ◽  
Tomoki SANO ◽  
Shingo OZAKI
Keyword(s):  
Numerical Analysis ◽  
Friction Model ◽  
Stick Slip ◽  
State Dependent ◽  
Stick Slip Motion ◽  
Slip Motion

Numerical Modeling of Friction-Induced Vibrations and Dynamic Instabilities

1994 ◽  
Vol 47 (7) ◽  
pp. 255-274 ◽  
Author(s):  
W. W. Tworzydlo ◽  
E. B. Becker ◽  
J. T. Oden
Keyword(s):  
Numerical Study ◽  
Normal Modes ◽  
Friction Model ◽  
Rigid Bodies ◽  
Stick Slip ◽  
Quantitative Correlation ◽  
Frictional System ◽  
Pin On Disk ◽  
Stick Slip Motion ◽  
Slip Motion

A numerical study of dynamic instabilities and vibrations of mechanical systems with friction is presented. Of particular interest are friction-induced vibrations, self-excited oscillations and stick-slip motion. A typical pin-on-disk apparatus is modeled as the assembly of rigid bodies with elastic connections. An extended version of the Oden-Martins friction model is used to represent properties of the interface. The mechanical model of the frictional system is the basis for numerical analysis of dynamic instabilities caused by friction and of self-excited oscillations. Coupling between rotational and normal modes is the primary mechanism of resulting self-excited oscillations. These oscillations combine with high-frequency stick-slip motion to produce a significant reduction of the apparent kinetic coefficient of friction. As a particular study model, a pin-on-disk experimental setup has been selected. A good qualitative and quantitative correlation of numerical and experimental results is observed.

Distributed-Parameters Base Modeling and Vibration Analysis of Microcantilevers Used in Atomic Force Microscopy

2009 ◽  
Author(s):  
A. A. Abouelsoud ◽  
J. Abdo Ahmed
Keyword(s):  
Limit Cycle ◽  
Time Derivative ◽  
Positive Definite Function ◽  
Friction Model ◽  
Sustained Oscillation ◽  
Definite Function ◽  
Stick Slip ◽  
Coulomb Friction Model ◽  
Stick Slip Motion ◽  
Slip Motion

Friction-induced self-sustained oscillation result in a very robust limit cycle that characterizes stick-slip motion. This motion should be avoided because it creates unwanted noise, diminishes accuracy, and increases wear. The stick-slip motion produced by a mass-spring-damper on a moving belt is analyzed using Lyapunov second method, which is based on constructing a positive definite function and checking the condition for which its time derivative is negative semi-definite. From this condition an estimate of the amplitude of the velocity of the limit cycle of the stick-slip motion is obtained. This estimate is found to be the zero of a certain function derived from the Coulomb friction model. An estimate of the amplitude of the displacement is also found. It is shown that the simulation results of the amplitude and the estimated amplitude are in a good match.

Analysis of Stick-Slip Motion by the Rate-Dependent Friction Model

2008 ◽  
Vol 33-37 ◽  
pp. 867-874 ◽  
Author(s):  
S. Ozaki ◽  
Koichi Hashiguchi ◽  
D.H. Chen
Keyword(s):  
Numerical Experiments ◽  
Friction Model ◽  
Dimensional Model ◽  
Mass System ◽  
Stick Slip ◽  
One Dimensional ◽  
Rate Dependent ◽  
The One ◽  
Stick Slip Motion ◽  
Slip Motion

In this study, the rate-dependent subloading-friction model, which can rationally describe the reciprocal transition of static-kinetic frictions by the unified formulation, is proposed. Then, the one-dimensional model of spring-mass system is implemented by incorporating the present friction model, and is applied to simulations of stick-slip motion. Further, we verified the validity of the present approach for the stick-slip motion by numerical experiments under various dynamic conditions.

scholarly journals Experimental comparison of five friction models on the same test-bed of the micro stick-slip motion system

2015 ◽  
Vol 6 (1) ◽  
pp. 15-28 ◽  
Author(s):  
Y. F. Liu ◽  
J. Li ◽  
Z. M. Zhang ◽  
X. H. Hu ◽  
W. J. Zhang
Keyword(s):  
Friction Model ◽  
Test Bed ◽  
Lugre Model ◽  
Stick Slip ◽  
Motion System ◽  
Friction Models ◽  
Micro Motion ◽  
Coulomb Friction Model ◽  
Stick Slip Motion ◽  
Slip Motion

Abstract. The micro stick-slip motion systems, such as piezoelectric stick-slip actuators (PE-SSAs), can provide high resolution motions yet with a long motion range. In these systems, friction force plays an active role. Although numerous friction models have been developed for the control of micro motion systems, behaviors of these models in micro stick-slip motion systems are not well understood. This study (1) gives a survey of the basic friction models and (2) tests and compares 5 friction models in the literature, including Coulomb friction model, Stribeck friction model, Dahl model, LuGre model, and the elastoplastic friction model on the same test-bed (i.e. the PE-SSA system). The experiments and simulations were done and the reasons for the difference in the performance of these models were investigated. The study concluded that for the micro stick-slip motion system, (1) Stribeck model, Dahl model and LuGre model all work, but LuGre model has the best accuracy and (2) Coulomb friction model and the elastoplastic model does not work. The study provides contributions to motion control systems with friction, especially for micro stick-slip or step motion systems as well as general micro-motion systems.

Dynamics of stick–slip motion, Whillans Ice Stream, Antarctica

2011 ◽  
Vol 305 (3-4) ◽  
pp. 283-289 ◽  
Author(s):  
J. Paul Winberry ◽  
Sridhar Anandakrishnan ◽  
Douglas A. Wiens ◽  
Richard B. Alley ◽  
Knut Christianson
Keyword(s):  
Stick Slip ◽  
Ice Stream ◽  
Whillans Ice Stream ◽  
Stick Slip Motion ◽  
Slip Motion

Dynamic simulation of stick–slip motion of a flexible solar array

2008 ◽  
Vol 16 (6) ◽  
pp. 724-735 ◽  
Author(s):  
Yasushi Kojima ◽  
Shigemune Taniwaki ◽  
Yoshiaki Okami
Keyword(s):  
Dynamic Simulation ◽  
Solar Array ◽  
Stick Slip ◽  
Stick Slip Motion ◽  
Slip Motion

scholarly journals Basal ice motion and deformation at the ice-sheet margin, West Greenland

2005 ◽  
Vol 42 ◽  
pp. 67-70 ◽  
Author(s):  
David M. Chandler ◽  
Richard I. Waller ◽  
William G. Adam
Keyword(s):  
Deformation Mode ◽  
Time Intervals ◽  
Stick Slip ◽  
Active Deformation ◽  
West Greenland ◽  
Shear Structures ◽  
Basal Ice ◽  
Ice Velocity ◽  
Stick Slip Motion ◽  
Slip Motion

AbstractMeasurements of basal ice deformation at the margin of Russell Glacier, West Greenland, have provided an opportunity to gain more insight into basal processes occurring near the margin. The basal ice layer comprises a debris-rich, heterogeneous stratified facies, overlain by a comparatively debris-poor dispersed facies. Ice velocities were obtained from anchors placed in both ice facies, at three sites under 5–15 m ice depth. Mean velocities ranged from 20 to 43 m a–1, and velocity gradients indicate high shear strain rates within the basal ice. Stick–slip motion and diurnal variations were observed during measurements at short (1–5 min) time intervals. Vertical gradients in horizontal ice velocity indicate two modes of deformation: (1) viscous deformation within the stratified ice facies, and (2) shear at the interface between the two basal ice facies. Deformation mode 1 may contribute to the folding and shear structures observed in the stratified facies. Deformation mode 2 may generate the stick–slip motion and be associated with the formation of debris bands. Active deformation close to the margin suggests that structures observed within the basal ice are only partially representative of processes occurring near the bed in areas away from the glacier margin.

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