scholarly journals Simulating Two-Dimensional Stick-Slip Motion of a Rigid Body using a New Friction Model

2016 ◽  
Author(s):  
Yunsu Na ◽  
Sherif El-Tawil ◽  
Ahmed Ibrahim ◽  
Ahmed Eltawil
Keyword(s):  
Rigid Body ◽  
Friction Model ◽  
Two Dimensional ◽  
Stick Slip ◽  
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.

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.

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.

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.

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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