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Studies on Epitrochoid Gear for Cycloid Drives

Published online by Cambridge University Press:  05 May 2011

Shinn-Liang Chang
Shinn-Liang Chang*
Affiliation:
Department of Power Mechanical Engineering, National Huwei Institute of Technology, Huwei, Yunlin, Taiwan 632, R.O.C.
*
*Associate Professor
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Abstract

Cycloid drives are widely used in the industries because of their excellent characteristics, namely, high gear ratio, smooth transmission, compact size, high efficiency, low noise and long service life. In this paper, a mathematical model of an epitrochoid gear for a cycloid drive with a small tooth number difference has been proposed. Computerized simulation of the generated epitrochoid gear has also been developed. In this paper, the pressure angle, which has an important role in the analysis of cycloid drives as it influences the direction and magnitude of force transmission in gears, is derived based on the theory of differential geometry. The rack cutter profile, which is the fundamental tooth profile of a hob cutter, which in turn is the main manufacturing process of epitrochoid gear, has been obtained based on the theory of gearing. It is anticipated that the results from this paper will be beneficial to the design, analysis and manufacture of cycloid drives.

Keywords

Epitrochoid gearCycloid drivesRack cutterPressure angle.
Type
Articles
Information
Journal of Mechanics , Volume 19 , Issue 2 , June 2003 , pp. 271 - 278
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2003

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References

REFERENCES

1Botsiber, D. W. and Kingston, L., “Design and Performance of the Cycloid Speed Reducer,” Machine Design, June 28, pp. 65–69 (1956).Google Scholar
2Pollitt, E. P., “Some Applications of the Cycloid Machine Design,” ASME Journal of Engineering for Industry, November, pp. 407–414 (1960).CrossRefGoogle Scholar
3Tsay, Chung-Biau and Yu, Chung-Yih, “Mathematical Model for the Profile of Gerotor Pumps,” Journal of the Chinese Society of Mechanical Engineers, 10(1), pp. 41–47 (1989).Google Scholar
4Tsay, Chung-Biau and Yu, Chung-Yih, “The Mathematical Model of Gerotor Pump Applicable to Its Characteristic Study,” J. of the Chinese Society of Mechanical Engineers, 11(4), pp. 385–391 (1990).Google Scholar
5Beard, J. E., Yannitell, D. W. and Pennock, G. R., “The Effect of the Generating Pin Size and Placement on the Curvature and Displacement of Epitrochoidal Gerotors,” Mechanism and Machine Theory, 27(4), pp. 373–389 (1992).CrossRefGoogle Scholar
6Litvin, F. L., Gear Geometry and Applied Theory, Prentice Hall (1994).Google Scholar
7Litvin, F. L. and Feng, Pin-Hao, “Computerized Design and Generation of Cycloidal Gearings,” Mechanism and Machine Theory, 31(7), pp. 891–911 (1996).CrossRefGoogle Scholar
8Blanche, J. G. and Yang, D. C. H., “Cycloid Drives with Machining Tolerances,” Journal of Mechanisms, Transmissions, and Automation in Design, Vol. III, pp. 337–344, Sep. (1989).Google Scholar
9Blanche, J. G. and Yang, D. C. H., “Design and Application Guidelines for Cycloid Drives with Machining Tolerances,” Mechanism and Machine Theory, 25(5), pp. 487–501 (1990).Google Scholar
10Fong, Z. H. and Tsay, C. W., “Study on the Undercutting of Internal Cycloidal Gear with Small Tooth Difference,” Proceeding of the 16th National Conference of the Chinese Society of Mechanical Engineers, Hsinchu, pp. 592–599 (2000).Google Scholar
11Chang, S. L. and Liu, J. Y., “Mathematical Model and Undercutting Analysis of Epitrochoid Gear for the Cycloid Drives,” Proceeding of International Conference on Gearing, Transmissions and Mechanical Systems, Nottingham, pp. 293–303 (2000).Google Scholar
12Litvin, F. L., Theory of Gearing, NASA RP-1212, Washington, D.C. (1989).Google Scholar
13Arthovolevskii, I. I., Theory of Mechanisms, Science Publishers, Moscow, p. 566 (1965).Google Scholar
14Tsay, C. B., “Helical Gears with Involute Shaped Teeth: Geometry, Computer Simulation, Tooth Contact Analysis, and Stress Analysis,” Transactions of the ASME, Journal of Mechanisms, Transmissions, and Automation in Design, 110, pp. 482–491 (1988).CrossRefGoogle Scholar
15Chang, S. L., Tsay, C. B. and Tseng, C. H., “Kinematic Optimization of a Modified Helical Gear Train,” Transactions of the ASME, Journal of Mechanical Design, 119, pp. 307–314 (1997).CrossRefGoogle Scholar