A perturbation method is presented for use in analyzing unsteady belt-drive operation. The method relies on the important assumption that for operating states close to steady operation, the friction state (i.e., whether the belt is creeping or sticking at any location on the pulley) is similar to that of the well-known steady solution in which a lone stick arc precedes a lone slip arc (Johnson, K. L., 1985, Contact Mechanics, Cambridge U.P., London, Chap. 8; Smith, D. P., 1999, Tribol. Int., 31(8), pp. 465–477). This assumption, however, is not used to determine the friction force distribution, and, in fact, the friction forces in the stick zone are found to be nonzero, in direct contrast to the steady solution. The perturbation analysis is used to derive expressions for the span tensions, the pulley tension distributions, the contact forces between the belt and the pulleys, and the angular velocity of the driven pulleys. Validity criteria are developed which determine bounds on the operation state for which the assumed friction state is upheld. Verification of response quantities from the perturbation solution is accomplished through comparison to quantities predicted by an in-house dynamic finite element model and excellent agreement is found. Additionally, the finite element model is used to verify the key assumption that a lone slip arc precedes a lone stick arc.
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July 2005
Technical Papers
On a Perturbation Method for the Analysis of Unsteady Belt-Drive Operation
Michael J. Leamy
Michael J. Leamy
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Michael J. Leamy
J. Appl. Mech. Jul 2005, 72(4): 570-580 (11 pages)
Published Online: October 29, 2004
Article history
Received:
November 4, 2003
Revised:
October 29, 2004
Citation
Leamy, M. J. (October 29, 2004). "On a Perturbation Method for the Analysis of Unsteady Belt-Drive Operation." ASME. J. Appl. Mech. July 2005; 72(4): 570–580. https://doi.org/10.1115/1.1940660
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