Study of Dynamic Characteristics of Friction: A Comparative Analysis of the Velocity Dependent and the LuGre Friction Model

2005 ◽  
Author(s):  
Firoz Ali Jafri ◽  
David F. Thompson
Keyword(s):  
Hopf Bifurcation ◽  
Friction Model ◽  
Continuation Methods ◽  
Bifurcation Parameter ◽  
Lugre Model ◽  
Lugre Friction Model ◽  
Subcritical Hopf Bifurcation ◽  
Fold Bifurcation ◽  
Dependent Model ◽  
Lugre Friction

In this paper, we conduct numerical analysis to study the effects of friction on the dynamic response of a single degree of freedom mechanical system. Two different friction models, the velocity dependent friction model and the LuGre friction model, have been used to model the friction interface. Bifurcation analysis has been conducted using equilibrium and limit cycle continuation methods. With system viscous damping as the bifurcation parameter, a reverse subcritical Hopf bifurcation is observed in the case of velocity dependent model. In the case of the LuGre model for the same bifurcation parameter, a reverse supercritical Hopf bifurcation is observed at lower velocities but at higher velocities it changes to a reverse subcritical Hopf bifurcation. A fold bifurcation of the limit cycles is also seen at higher velocities for the LuGre model.

Efficient Simulation of a Dynamic System With LuGre Friction

2005 ◽  
Author(s):  
Nguyen B. Do ◽  
Aldo A. Ferri ◽  
Olivier Bauchau
Keyword(s):  
Friction Model ◽  
Lugre Model ◽  
Stiff System ◽  
Friction Laws ◽  
Efficient Simulation ◽  
Lugre Friction Model ◽  
Runge Kutta Method ◽  
Lugre Friction ◽  
Runge Kutta ◽  
Model Of Friction

Friction is a difficult phenomenon to model and simulate. One promising friction model is the LuGre model, which captures key frictional behavior from experiments and from other friction laws. While displaying many modeling advantages, the LuGre model of friction can result in numerically stiff system dynamics. In particular, the LuGre friction model exhibits very slow dynamics during periods of sticking and very fast dynamics during periods of slip. This paper investigates the best simulation strategies for application to dynamic systems with LuGre friction. Several simulation strategies are applied including the explicit Runge-Kutta, implicit Trapezoidal, and implicit Radau-IIA schemes. It was found that both the Runge-Kutta and Radau-IIA methods performed well in simulating the system. The Runge-Kutta method had better accuracy, but the Radau-IIA method required less integration steps.

Parameter Identification of LuGre Friction Model for Robot Joints

2012 ◽  
Vol 479-481 ◽  
pp. 1084-1090 ◽  
Author(s):  
Ya Qing Zheng
Keyword(s):  
Theoretical Foundation ◽  
Friction Model ◽  
Parameters Identification ◽  
Dynamic Parameters ◽  
Lugre Model ◽  
Friction Behavior ◽  
Research Issues ◽  
Lugre Friction Model ◽  
Lugre Friction ◽  
Experimental Validations

The LuGre friction model well captures most of the friction behavior, but it was very difficult to identify the parameters of the LuGre model. The LuGre friction model, theory of static and dynamic parameters identification of the LuGre model as well as the algorithm based on particle swarm optimization are summarized according to the previous work. Then the programs for the static and dynamic parameters identification are made and analyzed in the environment of Matlab software in detail, and the identification results are given. The work mentioned above will lay the theoretical foundation for the future experimental validations and provide the detailed models, algorithms and programs for the corresponding research issues.

Efficient Simulation of a Dynamic System with LuGre Friction

2007 ◽  
Vol 2 (4) ◽  
pp. 281-289 ◽  
Author(s):  
Nguyen B. Do ◽  
Aldo A. Ferri ◽  
Olivier A. Bauchau
Keyword(s):  
Friction Model ◽  
Lugre Model ◽  
Stiff System ◽  
Efficient Simulation ◽  
Lugre Friction Model ◽  
Runge Kutta Method ◽  
Friction Models ◽  
Lugre Friction ◽  
Runge Kutta ◽  
Model Of Friction

Friction is a difficult phenomenon to model and simulate. One promising friction model is the LuGre model, which captures key frictional behavior from experiments and from other friction models. While displaying many modeling advantages, the LuGre model of friction can result in numerically stiff system dynamics. In particular, the LuGre friction model exhibits very slow dynamics during periods of sticking and very fast dynamics during periods of slip. This paper investigates the best simulation strategies for application to dynamic systems with LuGre friction. Several simulation strategies are applied including the explicit Runge–Kutta, implicit Trapezoidal, and implicit Radau-IIA schemes. It was found that both the Runge–Kutta and Radau-IIA methods performed well in simulating the system. The Runge–Kutta method had better accuracy, but the Radau-IIA method required less integration steps.

Torsion Vibrations and Dynamic Stability of a Marine Driveline With Hydraulically Actuated Multi-Disk Clutch

2018 ◽  
Author(s):  
Mauro Cavallin ◽  
Alberto Doria ◽  
Giovanni Meneghetti ◽  
Daniele Sacchi
Keyword(s):  
Numerical Model ◽  
Test Bench ◽  
Experimental Tests ◽  
Friction Model ◽  
Lugre Model ◽  
Parametric Stability ◽  
Specific Test ◽  
Lugre Friction Model ◽  
Lugre Friction ◽  
The Stability

The driveline of many crafts during mooring maneuvers operates in the “trolling” mode, which is characterized by large slippages of the clutch. Sometimes the properties of clutch material and oil lead to the onset of self-excited torsion vibrations and wide fluctuations in torque. To analyze this phenomenon a numerical model of a typical marine driveline is developed, friction characteristics of the clutch are simulated by means of a LuGre model. A parametric stability analysis is carried out to highlight the effect of the parameters of the LuGre friction model on the stability of torsion vibrations. A series of experimental tests is performed on a specific test bench to identify the parameters of the driveline and to validate the numerical model. Results shows that the updated numerical model is able to replicate experimental results.

Modeling and Identification of Friction Behaviors of Hydraulic Forging Press Machine

2013 ◽  
Vol 328 ◽  
pp. 77-83
Author(s):  
Qing Pan ◽  
Ming Hui Huang ◽  
Yi Bo Li
Keyword(s):  
Good Accuracy ◽  
Friction Model ◽  
Lugre Model ◽  
Modified Model ◽  
Identification Method ◽  
Lugre Friction Model ◽  
Lugre Friction ◽  
Forging Press

A novel modified LuGre friction model is proposed by taking pressure of the cylinders into consideration. And a practical identification method to estimate the parameters associated with the modified friction model is presented. The validity of the modified model is investigated experimentally. It is shown that the modified LuGre model can demonstrate the comprehensive friction behaviors of the forging machine with a fairly good accuracy.

scholarly journals Asymmetric and chaotic responses of dry friction oscillators with different static and kinetic coefficients of friction

Meccanica ◽  
2021 ◽  
Author(s):  
Gábor Csernák ◽  
Gábor Licskó
Keyword(s):  
Dry Friction ◽  
Continuation Method ◽  
Friction Model ◽  
Lugre Friction Model ◽  
Kinetic Coefficients ◽  
Friction Oscillator ◽  
Lugre Friction ◽  
Friction Parameters ◽  
Two Parameter ◽  
Parameter Bifurcation

AbstractThe responses of a simple harmonically excited dry friction oscillator are analysed in the case when the coefficients of static and kinetic coefficients of friction are different. One- and two-parameter bifurcation curves are determined at suitable parameters by continuation method and the largest Lyapunov exponents of the obtained solutions are estimated. It is shown that chaotic solutions can occur in broad parameter domains—even at realistic friction parameters—that are tightly enclosed by well-defined two-parameter bifurcation curves. The performed analysis also reveals that chaotic trajectories are bifurcating from special asymmetric solutions. To check the robustness of the qualitative results, characteristic bifurcation branches of two slightly modified oscillators are also determined: one with a higher harmonic in the excitation, and another one where Coulomb friction is exchanged by a corresponding LuGre friction model. The qualitative agreement of the diagrams supports the validity of the results.

Sign in / Sign up

Export Citation Format

Share Document