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TECHNICAL PAPERS

Dynamic Loading of Synchronous Belts

[+] Author and Article Information
Tomas Johannesson

Engine Division, Volvo Car Corporation, SE-405 08 GÖTEBORG, Swedenemail: tomas.johannesson@hq.vcc.volvo.se

Martin Distner

WM-data Caran, Vädursgatan 6, P.O. BOX 5445, SE-402 29 GÖTEBORG, Swedenemail: madis@wmdata.com

J. Mech. Des 124(1), 79-85 (May 01, 2000) (7 pages) doi:10.1115/1.1426088 History: Received May 01, 2000
Copyright © 2002 by ASME
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References

Gerbert,  G., Jönsson,  H., Persson,  U., and Stensson,  G., 1978, “Load Distribution in Timing Belts,” ASME J. Mech. Des., 100, No. 2, pp. 208–215.
Koyama, T., Murakani, K., Nakai, H., Kagotani, M., and Hoshiro, T., 1978, “On Load Distribution of Toothed Belts with the Same Pitch (1st report),” Trans. JSME (1978-1), No. 377, pp. 312–320 (English translation, Osaka University).
Johannesson, T., and Distner, M., 1999, “Model for Tooth Belt Mechanics,” Proceedings of 4th World Congress on Gearing and Power Transmission, 2 , pp. 1357–1369.
Shimizu, K., and Fujii, T., 1995, “A Simple Modeling for Analyzing the Load Distribution of Toothed Belts under Fluctuating Torque Loading,” SAE Tech. Paper Series, 950542.
Karolev,  N., and Gold,  P., 1995, “Load Distribution of Timing Belt Drives Transmitting Variable Torques,” Mech. Mach. Theory, 30, No. 4, pp. 553–567.
Kido, R., Kusano, T., and Fujii, T., 1994, “A New Approach for Analyzing Load Distribution of Toothed Belts at Steady States Using FEM,” SAE Technical Paper Series, Paper 940690.
Uchida, T., Furukawa, Y., Tomono, K., and Takahashi, H., 1996, “Pitch Difference and Belt Tooth Configuration Effect on Load Distribution of Timing Belt Using FEM Analysis,” SAE Special Publications, Design and Development of New Engines and Components, Proceedings of the 1996 International Congress & Exposition Feb 26–29 1996, Detroit, USA, pp. 83–91.
Distner, M., and Johannesson, T., 2000, “Measurements of Forces between a Synchronous Belt and a Pulley,” Proceedings of DETC’00 8th International Power Transmission and Gearing Conference, ASME, Baltimore, USA.
Uchida,  T., Yamaji,  Y., and Hanada,  N., 1993, “Analysis of the Load on Each Tooth of a 4-Cycle Gasoline Engine Cam Pulley,” JSME Int. J., Ser. C, “Dynamics, Control, Robotics, Design and Manufacturing,” 36, No. 4, pp. 530–539.
Childs,  T. H. C., Dalgarno,  K. W., Hojjati,  M. H., Tutt,  M. J., and Day,  A. J., 1997, “The Meshing of Timing Belt Teeth in Pulley Grooves,” Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 211, pp. 205–218.
Childs,  T. H. C, Hojjati,  M. H., Kohno,  M., and Nakamura,  T., 1998, “Land Friction Effects in the Meshing of Timing Belts,” Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 212, No. 2, pp. 87–100.
Kido, R., Kusano, T., and Fujii, T., 1996, “Fatigue Life Evaluation for Toothed Belts Based on FE Analysis,” SAE Tech. Paper Series, 960712.
Koyama,  T., Kagotani,  M., Shibata,  T., Sato,  S., and Hoshiro,  T., 1980, “A Study on Strength of Toothed Belt (5th report, Effect of Pitch Difference on Fatigue Strength of Toothed Belt),” Bull. JSME, 23, No. 181, pp. 1240–1244.

Figures

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One and a half belt pitch and the discrete multi-body system equivalence
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Spring model of the interaction between a belt and pulley
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The quantities used for explaining the friction force switches
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Functions for the hyperbolic tangent function switch used in the model and for an ideal switch
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Seating and unseating conditions for a pitch angle rotation of the pulley. Steps 1–3, left, tooth seating and land area unseating. Steps 4–6, right, land area seating and tooth unseating.
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Comparison of results from the model and the measurements by Karolev and Gold 5. The bottom graph shows the applied torques as function of tooth position.
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Tooth flank normal force for a sudden load change from 0 Nm to 10 Nm at rotation angle Φ=2π rad. Positive forces and torques drive the pulley.
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Tooth flank normal forces, during the load cycle T, calculated with the dynamic model (top) and stepwise with a quasi-static model (bottom). Pd=0.006 mm.
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Tooth flank normal force during one revolution. Pd=0.006 mm. Positive force drives the pulley.
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Friction work for belts with dissimilar pitch differences, one revolution

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