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TECHNICAL PAPERS

Sliding of a Mass on an Inclined Driven Plane With Randomly Varying Coefficient of Friction

[+] Author and Article Information
P. Vielsack, H. Spiess

Institute fur Mechanik, Universitat Karlsruhe, Postfach 6980, 76049 Karlsruhe, Germanye-mail: Mechanik@bau-verm.uni-karlsruhe.de

J. Appl. Mech 67(1), 112-116 (Jul 09, 1999) (5 pages) doi:10.1115/1.321165 History: Received November 06, 1998; Revised July 09, 1999
Copyright © 2000 by ASME
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References

Ibrahim,  R. A., 1994, “Friction-Induced Vibration, Chatter, Squeal, and Chaos, Part II: Dynamics and Modeling,” ASME Appl. Mech. Rev., 47, pp. 227–253.
Kilburn,  R. F., 1974, “Friction Viewed as a Random Process,” ASME J. Lubr. Technol., 96, pp. 291–299.
Vielsack,  P., 1996, “Regularisierung des Haftzustandes bei Coulombscher Reibung,” Z. Angew. Math. Mech., 76, pp. 439–446.
Soom,  A., and Chen,  J. W., 1986, “Simulation of Random Surface Roughness-Induced Contact Vibrations at Hertzian Contacts During Steady Sliding,” ASME J. Tribol., 108, pp. 123–127.
Vielsack,  P., and Hartung,  A., 1999, “An example for the Orbital Stability of Permanently Disturbed Non-Smooth Motions,” Z. Angew. Math. Mech., 79, pp. 389–397.
Adams,  G. G., 1998, “Steady sliding of Two Elastic Half-Spaces With Friction Reduction due to Interface Stick-Slip,” ASME J. Appl. Mech., 65, pp. 470–475.
Kikuchi, N., and Oden, F. T., 1988, “Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods,” SIAM.

Figures

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Rigid mass on an inclined, moving, rough plane
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Friction coefficient: (a) versus sliding path, (b) Gaussian distribution
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Trajectories of steady-state motions: (a) “normal” situation, (b) near to critical inclination, (c) near the horizontal plane
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Probability density of the relative error in the mean velocity of a “normal” motion
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Five response periods of a “normal” motion with different interface parameter. Left: trajectories; right: contact forces versus time
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Five response periods of a motion near the critical inclination of the plane. Left: trajectories; right: contact forces versus time.
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Five response periods of a motion on an approximately horizontal plane. Left: trajectories; right: contact forces versus time.
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Probability density of the relative error in the mean velocity; (a) motion near to the critical inclination of the plane, (b) motion on an approximately horizontal plane

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