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TECHNICAL PAPERS

Stick-Slip Vibration Between Two Large Concentric Circular Discs in Rotational Contact With Multiple Point Loads

[+] Author and Article Information
M. Baleri, F. Sassani

Department of Mechanical Engineering, The University of British Columbia, Vancouver, Canada

P. L. Ko

Tribology Laboratory, National Research Council, 3250 East Mall, Vancouver, V5T 1W5, Canada

J. Mech. Des 125(4), 786-792 (Jan 22, 2004) (7 pages) doi:10.1115/1.1631572 History: Received December 01, 2000; Revised April 01, 2003; Online January 22, 2004
Copyright © 2003 by ASME
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References

Rabinowicz, E., 1965, Friction and Wear of Materials, John Wiley and Sons, NY.
Derjaguin,  B. V., Push,  V. E., and Tolstoi,  D. M., 1956, “A Theory of Stick-Slip Sliding of Solids,” J. Tech. Phys., 6 .
Brockley,  C. A., Cameron,  R., and Potter,  A. F., 1967, “Friction Induced Vibration,” ASME J. Lubr. Technol., 89(2), pp. 101–108.
Sinclair,  D., and Manville,  N. J., 1955, “Frictional Vibration,” ASME J. Appl. Mech., 22, pp. 207–213.
Gao,  C., Wilsdorf,  D. K., and Makel,  D. D., 1993, “Fundamentals of Stick-Slip,” Wear, 162–164, pp. 1139–1149.
Gao,  C., Wilsdorf,  D. K., and Makel,  D. D., 1994, “The Dynamic Analysis of Stick-Slip Motion,” Wear, 173, pp. 1–12.
Ko,  P. L., Taponat,  M. C., and Rodolphe,  P., 2001, “Friction-Induced Vibration—With and Without External Disturbance,” Tribol. Int., 34(1), pp. 7–24.
Jarvis,  R. B., and Mills,  B., 1963, “Vibration Induced by Dry Friction,” Proc. Inst. Mech. Eng., 175(32), pp. 847–866.
Oden,  J. T., and Martins,  J. A. C., 1985, “Models and Computational Methods for Dynamic Friction Phenomena,” Comput. Methods Appl. Mech. Eng., 52, pp. 527–634.
Martins,  J. A. C., Oden,  J. T., and Simoes,  F. M. F., 1990, “A Study of Static and Kinetic Friction,” Int. J. Eng. Sci., 28(1), pp. 29–92.
Armstrong-Hélouvry,  B., Dupont,  B. P., and Canudas,  C., 1994, “A Survey of Models, Analysis Tools and Compensation Methods for the Control of Machines with Friction,” Automatica, 30(7), pp. 1083–1138.
Armstrong-Hélouvry,  B., 1993, “Stick-Slip and Control in Low-Speed Motion,” IEEE Trans. Autom. Control, 38(10), pp. 1483–1496.
Tseng,  J. G., and Wickert,  J. A., 1998, “Nonconservative Stability of a Friction Loaded Disk,” ASME J. Vibr. Acoust., 120, pp. 922–929.
Bowden, F. P., and Tabor, D., 1956, The Friction and the Lubrication of Solids, John Wiley and Sons, NY.
Canudas de Wit,  C., Olsson,  H., Åstrom,  K. J., and Lischinsky,  P., 1995, “A New Model for Control of Systems With Friction,” IEEE Trans. Autom. Control, 40(3), pp. 419–425.
Canudas de Wit,  C., and Lischinsky,  P., 1997, “Adaptive Friction Compensation with Partially Known Dynamic Friction Model,” Int. Journal of Adaptive Control and Signal Processing, 11, pp. 65–80.
Johannes,  V. I., Green,  M. A., and Brockley,  C. A., 1973, “The Role of the Rate of Application of Tangential Force in Determining the Static Friction Coefficient,” Wear, 14, pp. 381–385.
Simkins,  T. E., 1967, “The Mutuality of Static and Kinetic Friction,” Lubr. Eng., January, p. 26.

Figures

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Laboratory experimental set-up
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Stick-slip vibration traces of force, displacement, velocity and acceleration
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Experimental results for load and spring stiffness variation
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Experimental results for variation of speed and loading configurations
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Comparison of experimental and simulated results.
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Exploded view of load application points
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Radial and circumferencial contact pressure distributions (load at 59 mm and 45°).
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Model for the contact pressure distribution at the interface.
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Schematic representation of the plate subjected to stick-slip motion
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Friction-velocity curve for the simulation
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Displacement, velocity and friction torque waveforms for the stick-slip motion
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Simulation results for the variation of load and spring stiffness
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Simulation results for the variation of speed and loading radius
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Stick-slip system for large contact areas

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