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TECHNICAL PAPERS

An Exact Solution for Steady Motion of an Extensible Belt in Multipulley Belt Drive Systems

[+] Author and Article Information
M. B. Rubin

Faculty of Mechanical Engineering, Technion-Israel Institute of Technology, 32000 Haifa, Israele-mail: mbrubin@tx.technion.ac.il

J. Mech. Des 122(3), 311-316 (May 01, 2000) (6 pages) doi:10.1115/1.1288404 History: Received December 01, 1998; Revised May 01, 2000
Copyright © 2000 by ASME
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References

Reynolds, O., 1874, “The Efficiency of Belts or Straps as Communicators of Work,” Engineer (London), 38 .
Fawcett,  J. N., 1981, “Chain and Belt Drives—A Review,” Shock Vibr. Digest, 13, pp. 5–12.
Firbank,  T. C., 1970, “Mechanics of the Belt Drive,” Int. J. Mech. Sci., 12, pp. 1053–1063.
Gerbert,  G., 1996, “Belt Slip—A Unified Approach,” ASME J. Mech. Des., 118, pp. 432–438.
Narasimha,  R., 1968, “Non-Linear Vibration of an Elastic String,” J. Sound Vib., 8, pp. 134–146.
Antman, S. S., 1991, Nonlinear Problems of Elasticity, Springer-Verlag, Berlin.
Green,  A. E., Naghdi,  P. M., and Wenner,  M. L., 1974, “On The Theory of Rods, I: Derivations from the Three-Dimensional Equations,” Proc. R. Soc. London, Ser. A, 337, pp. 451–483.
Green,  A. E., Naghdi,  P. M., and Wenner,  M. L., 1974, “On the Theory of Rods, II: Developments by Direct Approach,” Proc. R. Soc. London, Ser. A, 337, pp. 485–507.
Nordenholz,  T. R., and O’Reilly,  O. M., 1995, “On Kinematical Conditions for Steady Motions of Strings and Rods,” ASME J. Appl. Mech., 62, pp. 820–822.
Leamy, M. J., Barber, J. R., and Perkins, N. C., 1994, “A Computer Program for Calculating Creep Power Loss in Multipulley Belt Drive Systems,” Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor.
Shigley, J. E., and Mischke, C. R., 1989, Mechanical Engineering Design, Fifth Edition, McGraw-Hill, New York.
Townsend,  W. T., and Salisbury,  J. K., 1988, “The Efficiency Limit of Belt and Cable Drives,” ASME J. Mech. Trans., Auto. Des., 110, pp. 303–307.
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.

Figures

Grahic Jump Location
Description of the main parameters associated with the i’th pulley
Grahic Jump Location
Description of a two pulley system
Grahic Jump Location
Comparison of the exact and approximate solutions for full slip (ϕ=α2) with μ=0.5
Grahic Jump Location
Comparison of the exact and approximate solutions for full slip (ϕ=α2) with μ=1.0

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