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TECHNICAL PAPERS

Improved Dynamic Friction Models for Simulation of One-Dimensional and Two-Dimensional Stick-Slip Motion

[+] Author and Article Information
Fitsum A. Tariku, Robert J. Rogers

Department of Mechanical Engineering, University of New Brunswick, Fredericton, NB Canada E3B 5A3

J. Tribol 123(4), 661-669 (Aug 17, 2000) (9 pages) doi:10.1115/1.1331057 History: Received February 03, 2000; Revised August 17, 2000
Copyright © 2001 by ASME
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References

Ibrahim, R. A., 1992, “Mechanics of Friction,” Friction-Induced Vibration, Chatter, Squeal, and Chaos, ASME DE-Vol. 49, pp. 107–122.
Armstrong-Hélouvry, B., 1992, “A Perturbation Analysis of Stick-Slip,” Friction-Induced Vibration, Chatter, Squeal, and Chaos, ASME DE-Vol. 49, pp. 41–48.
Antunes,  J., Axisa,  F., Beaufils,  B., and Guilbaud,  B., 1988, “Coulomb Friction Modelling in Numerical Simulations of Vibrations and Wear Work Rate of Tube Bundles,” J. Fluids Struct., 4, pp. 287–304.
Tan, X., and Rogers, R. J., 1996, “Dynamic Friction Modeling in Heat Exchanger Tube Simulations,” ASME Flow-Induced Vibration, PVP-Vol. 328, pp. 347–358.
Oden,  J. T., and Martins,  J. A. C., 1985, “Models and Computation Methods for Dynamic Friction Phenomena,” Comput. Methods Appl. Mech. Eng., 52, pp. 527–634.
Karnopp,  D., 1985, “Computer Simulation of Stick-Slip Friction in Mechanical Dynamic Systems,” ASME J. Dyn. Syst., Meas., Control, 107, pp. 100–103.
Tan,  X., and Rogers,  R. J., 1998, “Simulation of Friction in Multi-Degree-of-Freedom Vibration Systems,” ASME J. Dyn. Syst., Meas., Control, 120, pp. 144–146.
Polycarpou,  A., and Soom,  A., 1995, “Boundary and Mixed Friction in the Presence of Dynamic Normal Loads: Part II—Friction Transients,” ASME J. Tribol., 117, pp. 261–266.
Lim,  C. T., and Stronge,  W. J., 1999, “Oblique Elastic-Plastic Impact Between Rough Cylinders in Plane Strain,” Int. J. Eng. Sci., 37, pp. 97–122.
Shigley, J. E., and Mischke, C. R., 1989, Mechanical Engineering Design, 5th edition, McGraw-Hill, New York.
Tariku, F., 1998, “Simulation of Dynamic Mechanical Systems with Stick-Slip Friction,” MScE thesis, Dept. of Mech. Eng., University of New Brunswick, Fredericton, NB, Canada.

Figures

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Schematic diagram of the two-dimensional dynamic system
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(a)–(d) Typical dynamic responses of friction models for one-dimensional motion
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Detailed dynamic responses at A, B, C, and D in Fig. 2 during first sticking occurrence
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Normalized sticking velocity error distributions for 268 one-dimensional sticking cases
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Graph of ln ln(1/R) versus ln Error
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Probability of normalized sticking velocity error (P=100−R)

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