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TECHNICAL PAPERS

Analysis of Belt-Driven Mechanics Using a Creep-Rate-Dependent Friction Law

[+] Author and Article Information
M. J. Leamy

Department of Civil and Mechanical Engineering, United States Military Academy, West Point, NY 10996   e-mail: im8022@usma.edu

T. M. Wasfy

Advanced Science and Automation Corporation, 113 Derosa Drive, Hampton, VA 23666e-mail: tamer@ascience.com

J. Appl. Mech 69(6), 763-771 (Oct 31, 2002) (9 pages) doi:10.1115/1.1488663 History: Received May 30, 2001; Revised September 25, 2001; Online October 31, 2002
Copyright © 2002 by ASME
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References

Euler,  M. L., 1762, “Remarques sur l’effect du frottement dans l’equilibre,” Mém. Acad. Sci., Berlin , pp. 265–278.
Grashof, B. G., 1883, Theoretische Maschinenlehre, Bd 2, Leopold Voss, Hamburg.
Fawcett,  J. N., 1981, “Chain and Belt Drives—A Review,” Shock Vib. Dig., 13(5), pp. 5–12.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, London, Chap. 8.
Bechtel,  S. E., Vohra,  S., Jacob,  K. I., and Carlson,  C. D., 2000, “The Stretching and Slipping of Belts and Fibers on Pulleys,” ASME J. Appl. Mech., 67, pp. 197–206.
Firbank,  T. C., 1970, “Mechanics of the Belt Drive,” Int. J. Mech. Sci., 12, pp. 1053–1063.
Gerbert, G. G., 1991, “On Flat Belt Slip,” Vehicle Tribology (Tribology Series 16), Elsevier, Amsterdam, pp. 333–339.
Gerbert,  G. G., 1996, “Belt Slip—A Unified Approach,” ASME J. Mech. Des., 118, pp. 432–438.
Townsend,  W. T., and Salisbury,  J. K., 1988, “The Efficiency Limit of Belt and Cable Drives,” ASME J. Mech., Transm., Autom. Des., 110, pp. 303–307.
Barker, C. R., Oliver, L. R., and Brieg, W. F., 1991, “Dynamic Analysis of Belt Drive Tension Forces During Rapid Engine Acceleration,” SAE Congress, Detroit, MI, Paper No. 910687, pp. 239–254.
Hwang,  S. J., Perkins,  N. C., Ulsoy,  A. G., and Meckstroth,  R. J., 1994, “Rotational Response and Slip Prediction of Serpentine Belt Drive Systems,” ASME J. Vibr. Acoust., 116, pp. 71–78.
Beikmann,  R. S., Perkins,  N. C., and Ulsoy,  A. G., 1996, “Free Vibration of Serpentine Belt Drive Systems,” ASME J. Vibr. Acoust., 118, pp. 406–413.
Beikmann,  R. S., Perkins,  N. C., and Ulsoy,  A. G., 1996, “Nonlinear Coupled Vibration Response of Serpentine Belt Drive Systems,” ASME J. Vibr. Acoust., 118, pp. 567–574.
Beikmann,  R. S., Perkins,  N. C., and Ulsoy,  A. G., 1997, “Design and Analysis of Automotive Serpentine Belt Drive Systems for Steady State Performance,” ASME J. Mech. Des., 119, pp. 162–168.
Leamy, M. J., Perkins, N. C., Barber, J. R., and Meckstroth, R. J., 1997, “The Influence of Tensioner Friction on Accessory Drive Dynamics,” 1997 SAE Noise & Vibration Conference and Expedition, Traverse City, MI, May 20–22, Paper No. 97NV103.
Leamy,  M. J., and Perkins,  N. C., 1998, “Nonlinear Periodic Response of Engine Accessory Drives With Dry Friction Tensioners,” ASME J. Vibr. Acoust., 120, pp. 909–916.
Kraver,  T. C., Fan,  G. W., and Shah,  J. J., 1996, “Complex Modal Analysis of a Flat Belt Pulley System With Belt Damping and Coulomb-Damped Tensioner,” ASME J. Mech. Des., 118, pp. 306–311.
Leamy,  M. J., Barber,  J. R., and Perkins,  N. C., 1998, “Distortion of a Harmonic Elastic Wave Reflected From a Dry Friction Support,” ASME J. Appl. Mech., 65, pp. 851–857.
Leamy, M. J., Barber, J. R., and Perkins, N. C., 1998, “Dynamics of Belt/Pulley Frictional Contact,” IUTAM Symposium on Unilateral Multibody Contacts, Proceedings, Munich, Aug. 3–7, Kluwer Academic Press, Dordrecht, The Netherlands, pp. 277–286.
Leamy, M. J., 1998, “The Influence of Dry Friction in the Dynamic Response of Accessory Belt Drive Systems,” doctoral dissertation, The University of Michigan.
Leamy, M. J., and Wasfy, T., 2001, “Dynamic Finite Element Modeling of Belt Drives,” 18th Biennial Conference on Mechanical Vibration and Noise, ASME International 2001 DETC.
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.
Makris,  N., and Constantinou,  M. C., 1991, “Analysis of Motion Resisted by Friction. II. Velocity-Dependent Friction,” Mech. Struct. Mach., 19(4), pp. 501–526.
Begley,  C. J., and Virgin,  L. N., 1997, “A Detailed Study of the Low-Frequency Periodic Behavior of a Dry Friction Oscillator,” ASME J. Dyn. Syst., Meas., Control, 119, pp. 491–497.

Figures

Grahic Jump Location
Friction laws used in the belt-drive analysis: (a) Coulomb law, (b) creep-rate-dependent law. The three linear regions of the creep-rate law are referred to as the left-most, middle, and right-most sliding regions.
Grahic Jump Location
Location of adhesion and slip zones on the driver and driven pulley using a Coulomb friction law
Grahic Jump Location
Belt element with control volume
Grahic Jump Location
Control volume of driven pulley in the deformed configuration
Grahic Jump Location
Friction and normal forces per unit belt length for (a) driver and (b) driven pulleys. Values of vs represented: 4.0E+3 (_), 1.0E+5 ([[dotted_line]]), 8.0E+5 ([[dashed_line]]). The Coulomb law solution is represented by ([[dot_dash_line]].).
Grahic Jump Location
Comparisons of analytical and finite element predicted frictional and normal forces at belt nodes for several values of the slope profile parameter vs. Results are for a discretization of 100 belt elements per half pulley. In all plots, the finite element driver solutions are represented by (_), finite element driven by ([[dotted_line]]), analytical driver by ([[dashed_line]]), and analytical driven by ([[dot_dash_line]]).

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