Abstract
This study is motivated by the need to develop belt drive models which predict the drive’s dynamic response to harmonic excitation. Particular attention focuses on modeling nonlinear belt response in frictional contact at the belt/pulley interface. To this end, two specific models are proposed. The first model proposed is appropriate for accessory drives with “small convection.” A simple model of a belt in frictional contact with a pulley is studied to determine the belt’s elastodynamic response to a train of incoming harmonic tension waves. Through a non-dimensionalization, a single dimensionless parameter Ω is identified which governs the dynamic response. A numerical solution is developed and exercised over a wide range of values of Ω. An approximate closed form solution is derived assuming the belt stretches quasi-statically, and is shown to yield accurate results for small values of Ω. A second model is described for the case of harmonically excited belt drives characterized by “large convective” effects and for which the quasi-static stretching assumption may be applied (Ω < 1/3). For such drives, the belt tension distribution derived from a classical creep analysis of a steadily rotating belt drive remains the exact tension distribution for the harmonically excited drive.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Euler, M. Leonard, 1762, “Remarques sur l’effect du frottement dans l’équilibre,” Mém. Acad. Sci., pp. 265–278.
Fawcett, J. N., 1981, “Chain and Belt Drives — A Review,” Shock & Vibration Digest, Vol. 13, No. 5, pp. 5–12.
Firbank, T. C., 1970, “Mechanics of the Belt Drive,” International Journal of Mechanical Sciences, Vol. 12, pp. 1053–1063.
Gerbert, G. G., 1991, “On Flat Belt Slip,” Vehicle Tribology, Tribology Series 16, pp. 333–339, Elsevier, Amsterdam.
Gerbert, G. G., 1996, “Belt Slip — A Unified Approach,” ASME Journal of Mechanical Design, Vol. 118, September, pp. 432–438.
Grashof, B. G., 1883, Theoretische Maschinenlehre, Bd 2. Leopold Voss, Hamburg.
Johnson, K.L., 1985, Contact Mechanics, London, Cambridge University Press, Ch. 8.
Leamy, M. J., 1998, “The Influence of Dry Friction in the Dynamic Response of Accessory Belt Drive Systems,” Ph.D. Thesis, The University of Michigan, Ann Arbor, MI.
Nikitin, L. V., Tyurekhodgaev, A. N., 1990, “Wave Propagation and Vibration of Elastic Rods with Interfacial Frictional Slip,” Wave Motion, Vol. 12, pp. 513–526.
Smith, E. A. L., 1960, “Pile-Driving Analysis by the Wave Equation,” ASCE Journal of the Soil Mechanics and Foundations Division, Vol. 86, No. EM 4, August, pp. 35–61.
Smith, I. M., and To, P., 1988, “Numerical Studies of Vibratory Pile Driving,” International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 12, pp. 513–531.
Townsend, W.T., and Salisbury, J. K., 1988, “The Efficiency Limit of Belt and Cable Drives,” ASME Journal of Mechanisms, Transmissions, and Automation in Design, Vol. 110, September, pp. 303–307.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Leamy, M.J., Barber, J.R., Perkins, N.C. (1999). Dynamics of Belt/Pulley Frictional Contact. In: Pfeiffer, F., Glocker, C. (eds) IUTAM Symposium on Unilateral Multibody Contacts. Solid Mechanics and its Applications, vol 72. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4275-5_27
Download citation
DOI: https://doi.org/10.1007/978-94-011-4275-5_27
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5853-7
Online ISBN: 978-94-011-4275-5
eBook Packages: Springer Book Archive