Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-28T21:40:57.089Z Has data issue: false hasContentIssue false
  • English
  • Français

Three-Dimensional Finite Element Analysis of Frictional Contact for Belt Transmission Systems

Published online by Cambridge University Press:  05 May 2011

Chyuan-Jau Shieh  and
Wen-Hwa Chen
Chyuan-Jau Shieh*
Affiliation:
Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu, Taiwan 30043, R.O.C.
Wen-Hwa Chen*
Affiliation:
Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu, Taiwan 30043, R.O.C.
*
*Graduate Student
**Professor
Get access

Abstract

This work presents a rigorous three-dimensional finite element procedure to analyze belt transmission systems. The frictional contact behavior between the belt and the pulley, which accounts for the power loss of the system and the wear of the belt, is investigated in detail. In addition to adopting the transformation matrix to satisfy the geometric conditions on the contact surfaces, the proposed procedure also uses the modified elements with incremental Wilson displacement modes to improve the accuracy due to bending at the end zones of the contact area for the belt. To demonstrate the accuracy and feasibility of the proposed procedure, the analyses for flat and V belt drives are carried out. Excellent correlations between the calculated results and referenced theoretical/experimental solutions are found. The influences of friction coefficients on the deformation, normal and tangential contact forces on the contact surfaces are studied as well. Those will be helpful for the estimation of wear properties and operation efficiency for belt transmission systems.

Keywords

Finite element analysisContact mechanicsBelt transmission system
Type
Articles
Information
Journal of Mechanics , Volume 17 , Issue 4 , December 2001 , pp. 189 - 199
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1Childs, T. H. C. and Parker, I. K., “Tribological Design of Machine Elements,” Tribology Series, 14, Elesvier, Amsterdam, pp. 133–142 (1989).Google Scholar
2Chukanov, V. I., “Accurate Calculation of a Flexible Belt Drive,” Russian Engineering Journal, 46(11), pp. 26–30 (1966).Google Scholar
3Firbank, T. C., “Mechanics of the Flat Belt Drive,” ASME, Mechanisms Conference and International Symposium on Gearing and Transmission, California, 72-PTG-21 (1972).Google Scholar
4Firbank, T. C., “On the Forces Between the Belt and Driving Pulley of a Flat Belt Drive,” ASME Design Engineering Technical Conference, III, 77-DET-161 (1977).Google Scholar
5Kim, H., Marshek, K. and Naji, M., “Force Between an Abrasive Belt and Pulley,” Mechanism and Machine Theory, 22(1), pp. 97–103 (1987).CrossRefGoogle Scholar
6Kim, H. and Marshek, K. M., “Belt Forces and Surface Model for a Cloth-Backed and a Rubber-Backed Flat Belt,” Journal of Mechanisms, Transmissions and Automation in Design, 110, pp. 93–99 (1988).CrossRefGoogle Scholar
7Gerbert, B. G., “Pressure Distribution and Belt Deformation in V-Belt Drive,” ASME, Journal of Engineering for Industry, 97(3), pp. 976–982 (1975).CrossRefGoogle Scholar
8Chen, W. H. and Yeh, J. T., “Three-Dimensional Finite Element Analysis of Static and Dynamic Contact Problems with Friction,” Computers and Structures, 35(5), pp. 541–552 (1990).Google Scholar
9Wilson, E. L., Taylor, R. L., Doherty, W. P. and Ghaboussi, J., “Incompatible Displacement Modes,” in Numerical and Computer Methods in Structural Mechanics, Fenves, S. F., Perrone, N., Robinson, A. R. and Schnobrich, W. C., eds., Academic Press, Inc., New York, pp. 43–57 (1973).Google Scholar
10Kikuchi, N. and Oden, J. T., “Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods,” SIAM, Philadelphia (1988).CrossRefGoogle Scholar
11Gerbert, B. G., “Adjustable Speed V-Belt Drives — Mechanical Properties and Design,” ASME Journal of Engineering for Industry, 96, pp. 877–885 (1974).CrossRefGoogle Scholar