Interpretation of Frictional-Force Microscopy Images Based on the Two-Dimensional Stick-Slip Motion of the Tip Atom

1996 ◽  
Vol 35 (Part 1, No. 6B) ◽  
pp. 3700-3705 ◽  
Author(s):  
Naruo Sasaki ◽  
Katsuyoshi Kobayashi ◽  
Masaru Tsukada
Keyword(s):  
Frictional Force ◽  
Two Dimensional ◽  
Stick Slip ◽  
Force Microscopy ◽  
Stick Slip Motion ◽  
Microscopy Images ◽  
Slip Motion

Two-dimensional stick-slip motion of Coulomb friction oscillators

2015 ◽  
Vol 230 (14) ◽  
pp. 2438-2448 ◽  
Author(s):  
M Fadaee ◽  
SD Yu
Keyword(s):  
Dry Friction ◽  
Numerical Results ◽  
Mathematical Programming Problem ◽  
Two Dimensional ◽  
State Equations ◽  
Time Step ◽  
Stick Slip ◽  
Single Body ◽  
Stick Slip Motion ◽  
Slip Motion

Two-dimensional stick-slip motion of an oscillator subjected to dry friction is investigated in this paper. The equations of motion of the non-smooth system are discretized in the time domain by means of the implicit Bozzak-Newmark scheme. The system state equations in a time step are written in the incremental displacements to model the frictional constraints in accordance with Coulomb’s law. With the help of a coordinate transformation and introduction of paired non-negative and complementary variables, the non-smooth vibration problem is reduced to a mathematical programming problem for which a numerical solution can be obtained. Numerical results for a single body oscillator under a harmonic excitation are obtained using the proposed method and compared with those in the literature; excellent agreement is achieved. The proposed method is then applied to a general two-dimensional oscillator with stiffness and viscous coupling in addition to the frictional coupling. Experiments are conducted for free vibration of a single body vibration system subjected to two-dimensional dry friction. Good agreement between the measurements and numerical results obtained using the proposed scheme is observed.

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
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