Affiliation:
1. Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, 2250 G. G. Brown, Ann Arbor, MI 48109-2125
Abstract
This study is motivated by the need to understand the elastodynamic response of belts in frictional contact with pulleys. To this end, a simplified model for belt/pulley contact is used to investigate the dynamic response of a belt subject to a train of harmonic tension waves. Through a nondimensionalization, 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 Reported results include the distortion of an initially harmonic tension wave, the energy reflected from the frictional support, and the distance harmonic waves penetrate into the support. The results suggest that the quasi-static stretching assumption may be further utilized as a modeling simplification for belt drives characterized by values of Ω <1/3.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference23 articles.
1. Barker, C. R., Oliver, L. R., and Brieg, W. F., 1991, “Dynamic Analysis of Belt Drive Tension Forces During Rapid Engine Acceleration,” SAE Congress, Detroit, MI, Paper No. 910687, pp. 239–254.
2. Beikmann R. S. , PerkinsN. C., and UlsoyA. G., 1996, “Free Vibration of Serpentine Belt Drive Systems,” ASME Journal of Vibration and Acoustics, Vol. 118, pp. 406–413.
3. Euler, M. Leonard, 1762, “Remarques sur l‘effect du frottement dansl’equilibre,” Me´m. Acad. Sci., pp. 265–278.
4. Fawcett J. N. , 1981, “Chain and Belt Drives—A Review,” Shock & Vibration Digest, Vol. 13, No. 5, pp. 5–12.
5. Firbank T. C. , 1970, “Mechanics of the Belt Drive,” International Journal of Mechanical Sciences, Vol. 12, pp. 1053–1063.
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献