Chaos and Force Fluctuations in Frictional Dynamics

1996 ◽  
Vol 464 ◽  
Author(s):  
M. G. Rozman ◽  
J. Klafter ◽  
M. Urbakh
Keyword(s):  
Chaotic Behavior ◽  
Power Spectra ◽  
Stick Slip ◽  
Liapunov Exponents ◽  
Force Fluctuations ◽  
Periodic Potentials ◽  
Wide Range ◽  
Stick Slip Motion ◽  
Slip Motion

ABSTRACTA model is presented of a particle that interacts with two periodic potentials, representing two confining plates, one of which is externally driven. The model leads to various behaviors in the motion of the top driven plate: stick-slip, intermittent regime, characterized by force fluctuations, and two types of sliding above a critical driving velocity vc. Similar behaviors are typical of a broad range of systems including thin sheared liquids. A detailed analysis of the different regimes displays a transition between the stick-slip and the kinetic regimes, ω−2 power spectra of the force over a wide range of velocities below vc, and a decrease of the force fluctuations that follows (vc – v)½ for v < vc. The velocity dependent Liapunov exponents demonstrate that the stick-slip motion is characterized by a chaotic behavior of the top plate and the embedded particle. An extension of the model to an embedded chain is introduced and preliminary results are presented and confronted with the single particle case. The role of the internal excitations of the chain in frictional dynamics is discussed.

Studies on Friction and Formation of Transfer Layer in HCP Metals

2009 ◽  
Vol 131 (3) ◽  
Author(s):  
Pradeep L. Menezes ◽  
Kishore ◽  
Satish V. Kailas ◽  
Michael R. Lovell
Keyword(s):  
Surface Texture ◽  
Steel Plates ◽  
Ambient Conditions ◽  
Transfer Layer ◽  
Stick Slip ◽  
The Coefficient Of Friction ◽  
Hcp Materials ◽  
Stick Slip Motion ◽  
Slip Motion

Surface texture plays an important role in the frictional behavior and transfer layer formation of contacting surfaces. In the present investigation, basic experiments were conducted using an inclined pin-on-plate sliding apparatus to better understand the role of surface texture on the coefficient of friction and the formation of a transfer layer. In the experiments, soft HCP materials such as pure Mg and pure Zn were used for the pins and a hardened 080 M40 steel was used for the plate. Two surface parameters of the steel plates—roughness and texture—were varied in tests that were conducted at a sliding speed of 2 mm/s in ambient conditions under both dry and lubricated conditions. The morphologies of the worn surfaces of the pins and the formation of the transfer layer on the counter surfaces were observed using a scanning electron microscope. In the experiments, the occurrence of stick-slip motion, the formation of a transfer layer, and the value of friction were recorded. With respect to the friction, both adhesion and plowing components were analyzed. Based on the experimental results, the effect of surface texture on the friction was attributed to differences in the amount of plowing. Both the plowing component of friction and the amplitude of stick-slip motion were determined to increase surface textures that promote plane strain conditions and decrease the textures that favor plane stress conditions.

scholarly journals Role of friction-induced torque in stick-slip motion

2010 ◽  
Vol 92 (5) ◽  
pp. 54001 ◽  
Author(s):  
J. Scheibert ◽  
D. K. Dysthe
Keyword(s):  
Stick Slip ◽  
Stick Slip Motion ◽  
Slip Motion

Modeling and Simulation of Stick-Slip Motion of a Position Stage

2012 ◽  
Vol 271-272 ◽  
pp. 1356-1361 ◽  
Author(s):  
Biao Chu ◽  
Yi Jin ◽  
Chang An Zhu
Keyword(s):  
Impact Factors ◽  
Stick Slip ◽  
Sliding Motion ◽  
Wide Range ◽  
Simulation Based ◽  
Positioning Stage ◽  
Mass Spring ◽  
Stick Slip Motion ◽  
The Relationship ◽  
Slip Motion

In various fields of positioning engineering, it is important to clarify the sliding motion, especially the stick slip phenomenon, for a wide range of scales positioning stage which works at a relative low sliding speed. In this paper, the sliding system of stick-slip motion is modeled based on a mass-spring-dampness system which includes four parameters. Meanwhile, a numerical simulation based on the Pro/ENGINEER software was conducted in order to study the relationship between stick slip behavior and its impact factors, such as the mass, stiffness, friction coefficient and damping coefficient. Moreover, experiments results are also provided to show the rationality of the theoretical analysis and the computer simulation.

The Stick-Slip Motion of a Chaplygin Sleigh With a Piecewise Smooth Nonholonomic Constraint

2015 ◽  
Author(s):  
Vitaliy Fedonyuk ◽  
Phanindra Tallapragada
Keyword(s):  
Numerical Simulations ◽  
Nonholonomic Constraint ◽  
Nonholonomic Constraints ◽  
Piecewise Smooth ◽  
Chaplygin Sleigh ◽  
Stick Slip ◽  
Stick Slip Motion ◽  
Smooth Dynamics ◽  
Slip Motion

The Chaplygin sleigh is a canonical problem of mechanical systems with nonholonomic constraints, which arises due to the role of friction. The motion of the cart has often been studied under the assumption that the magnitude of friction is as high as necessary to prevent slipping. We relax this assumption by setting a maximum finite value to the friction. The Chaplygin sleigh is then under a piecewise smooth nonholonomic constraint and transitions between ‘slip’ and ‘stick’ modes. We investigate these transitions and the resulting non smooth dynamics of the system. Further more the piecewise smooth constraint offers the possibility of controlling the speed of the sleigh and we investigate this with numerical simulations.

Stick-Slip Motion and Force Fluctuations in a Driven Two-Wave Potential

1996 ◽  
Vol 77 (4) ◽  
pp. 683-686 ◽  
Author(s):  
M. G. Rozman ◽  
M. Urbakh ◽  
J. Klafter
Keyword(s):  
Stick Slip ◽  
Force Fluctuations ◽  
Wave Potential ◽  
Stick Slip Motion ◽  
Slip Motion

scholarly journals Experimental study of the statistics of slipping events in solid friction

1995 ◽  
Vol 2 (3/4) ◽  
pp. 121-130
Author(s):  
S. Ciliberto ◽  
C. Laroche
Keyword(s):  
Experimental Study ◽  
Complex Dynamics ◽  
Power Spectra ◽  
System Size ◽  
Elastic Substrate ◽  
Stick Slip ◽  
Solid Friction ◽  
Force Time ◽  
Stick Slip Motion ◽  
Slip Motion

Abstract. The statistics of the stick-slip motion is studied in two experiments, where elasticity is distributed either on a surface or on a volume. The rough surface is realised by embedding steel spheres in an elastic substrate whereas the volume is constituted by several layers of rubber spheres. Both systems produce a complex dynamics characterized by power law with non-trivial exponents in the distribution of the amplitude of the slipping events and in the power spectra of the friction force time evolution. The dependence of the results on the system size is also studied.

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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