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RESEARCH PAPERS

Finite Element Simulation of Dynamic Instabilities in Frictional Sliding Contact

[+] Author and Article Information
L. Baillet, V. Linck, S. D’Errico, Y. Berthier

Contact and Solid Mechanics Laboratory (LaMCoS), INSA Lyon, 69621 Villeurbanne Cedex France

B. Laulagnet

Vibration—Acoustics Laboratory (LVA), INSA Lyon, 69621 Villeurbanne Cedex France

J. Tribol 127(3), 652-657 (Jun 13, 2005) (6 pages) doi:10.1115/1.1866160 History: Received November 21, 2003; Revised November 25, 2004; Online June 13, 2005
Copyright © 2005 by ASME
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References

Akay,  A., 2002, “Acoustics of Friction,” J. Acoust. Soc. Am., 111(4), pp. 1525–1548.
Adams,  G. G., 1995, “Self-Excited Oscillations of Two Elastic Half-Spaces Sliding With a Constant Coefficient of Friction,” ASME J. Appl. Mech., 62, pp. 867–872.
Adams,  G. G., 1998, “Steady Sliding of Two Elastic Half-Spaces Friction Reduction due to Interface Stick-Slip,” ASME J. Appl. Mech., 65, pp. 470–475.
Simões,  F. M. F., and Martins,  J. A. C., 1998, “Instability and Ill-Posedness in Some Friction Problems,” Int. J. Eng. Sci., 49, pp. 1265–1293.
Cochard,  A., and Rice,  J. R., 2000, “Fault Rupture Between Dissimilar Materials: Ill-Posedness, Regularization, and Slip-Pulse Response,” J. Geophys. Res., 105, pp. 891–907.
Ranjith,  K., and Rice,  J. R., 2001, “Slip Dynamics at the Interface Between Dissimilar Materials,” J. Mech. Phys. Solids, 49, pp. 341–361.
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Oueslati,  A., Nguyen,  Q. S., and Baillet,  L., 2003, “Stick-Slip-Separation Waves in Unilateral and Frictional Contact,” Comptes Rendus Mecanique,331, pp. 133–140.
Linck,  V., Baillet,  L., and Berthier,  Y., 2003, “Modeling the Consequences of Local Kinematics of the First Body on Friction and on Third Body Sources in Wear,” Wear, 255, pp. 299–308.
Baillet,  L., Laulagnet,  B., and D’Errico,  S., “Understanding the Appearance of Squealing Noise Using a Temporal Finite Element Method,” J. Sound Vib., (to be published).
Baillet,  L., and Sassi,  T., 2002, “Finite Element Method With Lagrange Multipliers for Contact Problems With Friction,” Comptes Rendus Mecanique,334, pp. 917–922.
Carpenter,  N. J., Taylor,  R. L., and Katona,  M. G., 1991, “Lagrange Constraints for Transient Finite Element Surface Contact,” Int. J. Numer. Methods Eng., 32, pp. 130–128.
Linck,  V., Baillet,  L., and Berthier,  Y., 2004, “Dry Friction: Influence of Local Dynamic Aspect on Contact Pressure, Kinematics, and Friction,” Tribol. Ser., 43, pp. 545–552.
Descartes,  S., and Berthier,  Y., 2002, “Rheology and Flows of Solid 3rd Bodies: Background and Application to a MoS1.6 Coating,” Wear, 252, pp. 546–556.
Baillet, L., Berthier, Y., and Descartes, S., 2002, “Modelling of the Vibrations Induced by Friction. Experimental Visualisation and Identification of the Relays Between the First Bodies and the Third Body,” Proceedings of European Conference on Braking, Lille, pp. 181–188.
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Baillet, L., D’Errico, S., and Berthier, Y., 2004, “Influence of Sliding Contact Local Dynamics on Macroscopic Friction Coefficient Variation,” accepted in REEF.
Iordanoff,  I., Sève,  B., and Berthier,  Y., 2002, “Solid Third Body Analysis Using a Discrete Approach: Influence of Adhesion and Particle Size on the Macroscopic Behavior of the Contact,” ASME J. Tribol., 124, pp. 530–538.

Figures

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Model and boundary condition of the 2D mechanical model
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Contact stresses evolution as a function of time at node A
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Limit cycle of the node A
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Normal and relative sliding velocities at the node A
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Finite elements mesh of a brake pad in contact on a rotating disk
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Relative percentage error of the natural mode frequencies between the three disk meshes, type M1, M2, M3
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Sum of the contact forces at the brake pad nodes
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The different contact zones of the brake pad and their status
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Normal and tangential contact stresses of a brake pad node on the contact area [zone Z4 (Fig. 8)]
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Fourier transform of the accelerations at one surface node of the disk and one of the brake pad
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Normal speed (z direction) representation of the two bodies during the periodic steady state
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32nd disk natural mode (1,4), f=15 195 Hz

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