AM  Vol.6 No.10 , September 2015
Tooth Surface Design for Variable Transmission Ratio Bevel Gearing
Author(s) Nan Yang1,2*, Dawei Zhang1, Yanling Tian1
ABSTRACT
A novel CAD method for tooth profile based on the gearing feature has been proposed in this paper, and this method could be applied to the variable transmission ratio and three-dimension situation. The two pitch curves of the two gears can be generated due to the given transmission ratio. The tooth profile curves are formed in each coordinate system of its pitch curve by the gearing process. Finally, the tooth profile could be extracted and translated into a real dimension by CAD method. It is provided a simply thought for tooth profile design to avoid so much complicated mathematical reasoning.

Cite this paper
Yang, N. , Zhang, D. and Tian, Y. (2015) Tooth Surface Design for Variable Transmission Ratio Bevel Gearing. Applied Mathematics, 6, 1685-1695. doi: 10.4236/am.2015.610150.
References
[1]   Jia, J.M., Gao, B. and Zhao, D.L. (2008) Analysis Method for Noncircular Bevel Gearing Based on Geodesic Curvature Preserving Mapping. Chinese Journal of Mechanical Engineering, 44, 53-57.
http://dx.doi.org/10.3901/JME.2008.04.053

[2]   Zhang, D.F. (2009) MATLAB Digital Image Processing. China Machine Press, Beijing.

[3]   Osman, T. and Velex, Ph. (2010) Static, Dynamic Simulations of Mild Abrasive Wear in Wide-Faced Solid Spur and Helical Gears. Mechanism and Machine Theory, 45, 911-924.
http://dx.doi.org/10.1016/j.mechmachtheory.2010.01.003

[4]   Wiener, D. (2000) Modification Methods for Bevel Gearings. Antriebstechnik, 39, 36-42.

[5]   Beach, R. (2004) Hypoid and Bevel Gearing. Motion System Design, 46, 1537-1794.

[6]   Sheveleva, G.I., Volkov, A.E. and Msdvedev, V.I. (2003) Calculating the Contact Pressures in Bevel Gear Drives with Different Tooth Models. Journal of Machinery Manufacture and Reliability, 58-61.

[7]   Yang, F.C., Feng, J.X. and Zhang, H.C. (2015) Power Flow and Efficiency Analysis of Multi-Flow Planetary Gear Trains. Mechanism and Machine Theory, 92, 86-99.
http://dx.doi.org/10.1016/j.mechmachtheory.2015.05.003

[8]   Pedrero, J.I., Pleguezuelos, M., Artés, M. and Antona, J.A. (2010) Load Distribution Model along the Line of Contact for Involute External Gears. Mechanism and Machine Theory, 45, 780-794.
http://dx.doi.org/10.1016/j.mechmachtheory.2009.12.009

[9]   Nagamoto, A.F.H., Litvin, F.L., Gonzalez-Perez, I. and Hayasaka, K. (2010) Computerized Design of Modified Helical Gears Finished by Plunge Shaving. Computer Methods in Applied Mechanics and Engineering, 199, 1677-1690.
http://dx.doi.org/10.1016/j.cma.2010.01.023

[10]   Feng, Z.P., Zuo, M.J. and Chu, F.L. (2010) Application of Regularization Dimension to Gear Damage Assessment. Mechanical Systems and Signal Processing, 24, 1081-1098.
http://dx.doi.org/10.1016/j.ymssp.2009.08.006

[11]   Ottewill, J.R., Neild, S.A. and Wilson, R.E. (2010) An Investigation into the Effect of Tooth Profile Errors on Gear Rattle. Journal of Sound and Vibration, 329, 3495-3506.
http://dx.doi.org/10.1016/j.jsv.2010.03.014

[12]   Song, C.S., Zhu, C.C., Liu, H.J. and Ni, G.X. (2015) Dynamic Analysis and Experimental Study of a Marine Gearbox with Crossed Beveloid Gears. Mechanism and Machine Theory, 92, 17-28.
http://dx.doi.org/10.1016/j.mechmachtheory.2015.05.001

 
 
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