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An Optimal Model on Contour of Up-Shifting Tooth for Derailleur System of Bicycle

Published online by Cambridge University Press:  09 November 2016

Y.-Z. Ma  and
S.-J. Chiou
Y.-Z. Ma
Affiliation:
Department of Mechanical EngineeringNational Chung Hsing UniversityTaichung, Taiwan
S.-J. Chiou*
Affiliation:
Department of Mechanical EngineeringNational Chung Hsing UniversityTaichung, Taiwan
*
*Corresponding author ([email protected])
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Abstract

The relative spatial position of each chain link and the phase angle of engaged tooth are not concerned in traditional sprocket designs. As such, the chain shifting might fail regularly. In this study, an optimized path of one chain for up-shifting is derived. Such path is formed by several bended chain links sustain yaw and roll. Empirically, appropriate bending, yaw and torsion angles for tooth chamfer, could be shorten the up-shifting distance and phase angle required, eventually facilitate not only more ascending points compactly arranged on sprocket but larger chain laterodeviation which curtails sprockets clearance and integrates the sprocket unit. Then again, the optimized shifting path promotes efficiency and decreases required movement yielded by derailleur tappet pressure.

Keywords

Up-shiftingDerailleur systemTooth profile
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 6 , December 2017 , pp. 759 - 767
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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References

1. Nagano, M., “Sprocket for Bicycle,” Patent No. 4 181 033, United States Patent (1980).Google Scholar
2. Wang, Y., Zheng, Z. and Zheng, G., “A Study on Jumping-Over-Teeth Phenomenon in Roller Chain Drive,” Journal of Mechanical Design, 112, pp. 569–574 (1990).Google Scholar
3. Chen, C. K. and Frendenstein, F., “Toward a More Exact Kinematics of Roller Chain Drives,” Journal of Mechanisms Transmission and Automation in Design - Transactions of the ASME, 110, pp. 269–275 (1988).Google Scholar
4. Wang, J. B. and Sung, C. K., “Analysis of Design Parameters of Rear Derailleur System on Bicycles,” Newsletter of the Chinese Society of Mechanism and Machine Theory, pp. 3–6 (1993).Google Scholar
5. Lin, H. F. and Sung, C. K., “A Study on the Phase angle for a Multistage Sprocket Assembly of a Bicycle,” 14th Conference of Chinese Society Mechanical Engineering, Chunli, Taiwan (1997).Google Scholar
6. Quek, K. P., Ito, T. and Noguchi, Y., “Efficient Modeling and Prediction of Meshing Noise from Chain Drivers,” Journal of Sound and Vibration, 245, pp. 133–150 (2001).Google Scholar
7. Pedersen, S. L., Hansen, J. M. and Ambrósio, J. A. C., “A roller chain drive model including contact with guide-bars,” Multibody System Dynamics, 12, pp. 285–301 (2004).CrossRefGoogle Scholar
8. Naji, M. R. and Marshek, K. M., “Analysis of Sprocket Load Distribution,” Mechanism and Machine Theory, 18, pp. 349–356 (1983).CrossRefGoogle Scholar
9. Naji, M. R. and Marshek, K. M., “Analysis of Roller Chain Sprocket Pressure Angles,” Mechanism and Machine Theory, 19, pp. 197–203 (1984).CrossRefGoogle Scholar
10. Naji, M. R. and Marshek, K. M., “The Effects of the Pitch Difference on the Load Distribution of a Roller Chain Drive,” Mechanism and Machine Theory, 24, pp. 351–362 (1989).CrossRefGoogle Scholar
11. Xu, L., Yang, Y., Chang, Z. and Liu, J., “Dynamic modeling of a roller chain drive system considering the flexibility of input shaft,” Chinese Journal of Mechanical Engineering, 23, pp. 367–374 (2010).Google Scholar
12. Pereira, C., Ambrósio, J. and Ramalho, A., “Contact mechanics in a roller chain drive using a multibody approach,” 11th Pan-American Congress of Applied Mechanics, Foz do Iguaçu, Paraná, Brazil, (2010).Google Scholar
13. Shi, S. Q., Peng, X. G., Zhao, N. and Zhang, C. W., “A New Method for Polygon Effect Analysis of Saw Chain,” Journal of Mechanical Science and Technology, 26, pp. 2705–2710 (2012).Google Scholar
14. Chiang, C. P., “Analysis of the Position Parameters of the Guide Pulley in Rear Derailleur Systems on Bicycles,” Newsletter of the Chinese Society of Mechanism and Machine Theory, pp. 4–7 (1993).Google Scholar
15. Fong, Z. H., Chiang, T. W. and Tsay, C. W., “Mathematical Model for Parametric Tooth Profile of Spur Gear Using Line of Action,” Mathematical and Computer Modeling, 36, pp. 603–614 (2002).Google Scholar
16. Wang, Y., Ji, D. S. and Zhan, K., “Modified sprocket tooth profile of roller chain drives,” Mechanism and Machine Theory, 70, pp. 380–393 (2013).Google Scholar