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TECHNICAL PAPERS

The Stretching and Slipping of Belts and Fibers on Pulleys

[+] Author and Article Information
S. E. Bechtel, S. Vohra

Department of Mechanical Engineering, The Ohio State University, Columbus, OH 43210

K. I. Jacob

School of Textile and Fiber Engineering, Georgia Institute of Technology, Atlanta, GA 30332

C. D. Carlson

Mitsubishi Polyester Film, LLC, 2001 Hood Road, Box 1400, Greer, SC 29652

J. Appl. Mech 67(1), 197-206 (Sep 28, 1999) (10 pages) doi:10.1115/1.321164 History: Received February 24, 1999; Revised September 28, 1999
Copyright © 2000 by ASME
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References

Figures

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Free-body diagram of a section of belt on a pulley
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Control volume for a belt in a freespan
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Schematic diagram of a belt transmitting a torque M between two pulleys
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Belt tension T(s) as a function of arc length s for a stiff belt (k=25 kN, top) and a compliant belt (k=0.2 kN, bottom): Circles (○) indicate locations of attachment to the pulleys, and boxes (□) indicate locations of departure. Full solution (——), engineering solution (– – –), alternate solution ([[dotted_line]]), and capstan solution ([[dot_dash_line]]). The full, engineering, and alternate solutions are indistinguishable for the stiff belt case.
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Belt speed v(s) as a function of arc length s for a stiff belt (k=25 kN, top) and a compliant belt (k=0.2 kN, bottom): Circles (○) indicate locations of attachment to the pulleys, and boxes (□) indicate locations of departure. Full solution (——), alternate solution ([[dotted_line]]), and capstan solution ([[dot_dash_line]]). The full and alternate solutions are indistinguishable for the stiff belt case.
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Normal force per unit length n(s) from the pulleys on the belt for a stiff belt (k=25 kN, top) and a compliant belt (k=0.2 kN, bottom): Full solution (——), engineering solution (– – –), alternate solution ([[dotted_line]]), and capstan solution ([[dot_dash_line]]). The full, engineering, and alternate solutions are indistinguishable for the stiff belt case.
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Frictional force per unit length f(s) from the pulleys on the belt for a stiff belt (k=25 kN, top) and a compliant belt (k=0.2 kN, bottom): Full solution (——), engineering solution (– – –), alternate solution ([[dotted_line]]), and capstan solution ([[dot_dash_line]]). The full, engineering, and alternate solutions are indistinguishable for the stiff belt case.

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