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TECHNICAL PAPERS

Steady Mechanics of Belt-Pulley Systems

[+] Author and Article Information
Lingyuan Kong, Robert G. Parker

Department of Mechancial Engineering, The Ohio State University, 206 W. 18th Avenue, Columbus, OH 43210

J. Appl. Mech 72(1), 25-34 (Feb 01, 2005) (10 pages) doi:10.1115/1.1827251 History: Received July 01, 2003; Revised February 19, 2004; Online February 01, 2005
Copyright © 2005 by ASME
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References

Fawcett,  J. N., 1981, “Chain and Belt Drives—a Review,” Shock Vib. Dig., 13(5), pp. 5–12.
Firbank,  T. C., 1970, “Mechanics of Belt Drives,” Int. J. Mech. Sci., 12, pp. 1053–1063.
Gerbert,  G. G., 1991, “On Flat Belt Slip,” Veh. Tribol. Ser.,16, pp. 333–339.
Alciatore,  D. G., and Traver,  A. E., 1995, “Multipulley Belt Drive Mechanics: Creep Theory vs Shear Theory,” ASME J. Mech. Des., 117, pp. 506–511.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge.
Gerbert, G., 1999, Traction Belt Mechanics, Chalmers University of Technology, Sweden.
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.
Rubin,  M. B., 2000, “An Exact Solution for Steady Motion of an Extensible Belt in Multipulley Belt Drive Systems,” ASME J. Mech. Des., 122, pp. 311–316.
Wang,  K. W., and Mote,  C. D. , 1986, “Vibration Coupling Analysis of Band/Wheel Mechanical Systems,” J. Sound Vib., 109, pp. 237–258.
Hwang,  S. J., and Perkins,  N. C., 1994, “High Speed Stability of Coupled Band/Wheel Systems: Theory and Experiment,” J. Sound Vib., 169(4), pp. 459–483.
Ascher,  U., and Russell,  R., 1981, “Reformulation of Boundary Value Problems Into ‘Standard’ Form,” SIAM Rev., 23, pp. 238–254.
Leamy, M. J., 2005, “On a New Perturbation Method for the Analysis of Unsteady Belt-Drive Operation,” ASME J. Appl. Mech., in press.
Beikmann,  R. S., Perkins,  N. C., and Ulsoy,  A. G., 1996, “Design and Analysis of Automotive Serpentine Belt Drive Systems for Steady State Performance,” ASME J. Mech. Des., 119, pp. 162–168.
Mote,  C. D., and Wu,  W. Z., 1985, “Vibration Coupling in Continuous Belt and Band Systems,” J. Sound Vib., 102, pp. 1–9.
Kong,  L., and Parker,  R. G., 2003, “Equilibrium and Belt-Pulley Vibration Coupling in Serpentine Belt Drives,” ASME J. Appl. Mech., 70(5), pp. 739–750.
Kong, L., and Parker, R. G., “Coupled Belt-Pulley Vibration in Serpentine Drives With Belt Bending Stiffness,” ASME J. Appl. Mech., 71 , pp. 109–119.

Figures

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Free body diagram of a moving curved beam
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Single span boundary value problem with unknown boundaries
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Two-pulley belt drive with inclusion of belt bending stiffness
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Flowchart of the iteration for the regular transmission problem
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Steady solutions for the system properties specified in Table 1. (a) EI=0.0015, (b) EI=0.015, and (c) EI=0.05 N⋅m2.
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Variations of tension in the tight and slack spans for the belt-pulley drive in Table 1
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Deflections of the spans for two different belt-pulley models. (a) and (b) correspond to the current model (symbols denote span endpoints); (c) and (d) correspond to the fixed boundary model in 15. The system is specified in Table 1.
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Steady solutions for the system properties specified in Table 3. Full slip occurs on the driver pulley. (a) EI=0.0015, (b) EI=0.015, and (c) EI=0.05 N⋅m2.
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Comparison of maximum transmitted moment Mmax=M2_max/TiniR2, power efficiency η, Tt_midspan/Tini, and Ts_midspan/Tini between the string and beam models for the belt drive in Table 3

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