Volume 2, Number 1 (2019)
Year Launched: 2016
Journal Menu
Previous Issues
Why Us
-  Open Access
-  Peer-reviewed
-  Rapid publication
-  Lifetime hosting
-  Free indexing service
-  Free promotion service
-  More citations
-  Search engine friendly
Contact Us
Email:   service@scirea.org
Home > Journals > SCIREA Journal of Mechanical Engineering > Archive > Paper Information

An active forming grinding method for cylindrical involute gears based on a second-order transmission error model

Volume 2, Issue 1, February 2019    |    PP. 1-14    |PDF (1211 K)|    Pub. Date: March 23, 2019
138 Downloads     1664 Views  

Gang Li, Department of Mechanical Engineering, University of Maryland, Baltimore County, Baltimore, MD, USA

An active form-grinding method is proposed to obtain excellent and stable contact performance of cylindrical gears by designing modification forms based on a predesigned controllable second-order transmission error function. First of all, a predesigned second-order transmission error polynomial function is assigned to the gear drive. Mathematical models of modified tooth surfaces that can describe their local deviation and ease-off topography are then obtained with the predesigned second-order transmission error function. Moreover, the form-grinding wheel’s profile equation, the coordinate transformation matrix during form-grinding, and settings of computer numerical control form-grinding programs for this active design method can be determined. This approach is ultimately conducted on three involute cylindrical gear pairs to demonstrate its feasibility and effectiveness.

Cylindrical gears; Second-order transmission error; Active design; Form-grinding

Cite this paper
Gang Li, An active forming grinding method for cylindrical involute gears based on a second-order transmission error model, SCIREA Journal of Mechanical Engineering. Vol. 2 , No. 1 , 2019 , pp. 1 - 14 .


[ 1 ] Litvin, F.L. & Fuentes, A. 2004. Gear geometry and applied theory, 2nd edn. New York, NY: Cambridge University Press.
[ 2 ] Li, G., Wang, Z. H., and Zhu, W. D., 2018, “Prediction of Surface Wear of Involute Gears Based on Revised Fractal Theory,” ASME Journal of Tribology, 141(3), p. 031603.
[ 3 ] Litvin, F.L., Fuentes, A., & Hayasaka, K. 2006. Design, Manufacture, Stress Analysis, and Experimental Tests of Low-Noise High Endurance Spiral Bevel Gears. Mechanism and Machine Theory, 41(1): 83-118.
[ 4 ] Lee, C. K. 2009. Manufacturing Process for a Cylindrical Crown Gear Derive with a Controllable Fourth Order Polynomial Function of Transmission Error. Journal of Materials Processing Technology, 209(1): 3-13.
[ 5 ] Kolivand, M., & Kahraman, A. 2009. A load distribution model for hypoid gears using ease-off topography and shell theory. Mechanism and Machine Theory, 44(10): 1848–1865.
[ 6 ] Fan, Q., DaFoe, R.S., & Swanger, J.W. 2009. Higher order tooth flank form error correction for face-milled spiral bevel and hypoid gears. Trans ASME Journal of Mechanical Design, 130(7): 072601.
[ 7 ] Simon, V. 2009. Design and manufacture of spiral bevel gears with reduced transmission errors. Trans ASME Journal of Mechanical Design, 131(4): 041007.
[ 8 ] Stadtfeld, H.J., & Gaiser, U. 2000. The ultimate motion graph. Trans ASME Journal of Mechanical Design, 122(3): 317-322.
[ 9 ] Kato, S., & Kubo, A. 1999. Analysis of the effect of cutting dimensions on the performance of hypoid gears manufactured by the hobbing process. In: 4th World Congress on Gearing and Power Transmissions, Paris, France, March 1999, pp. 585–594.
[ 10 ] Wang, P.Y., & Fong, Y.H. 2006. Fourth-order kinematic synthesis for face-milling spiral bevel gears with modified radial motion (MRM) correction. Trans ASME Journal of Mechanical Design, 128(2): 457–467.
[ 11 ] Li, G., Wang, Z. H., Zhu, W. D., and Kubo, A., 2017, “A Function-Oriented Active Form-Grinding Method for Cylindrical Gears Based on Error Sensitivity,” International Journal of Advanced Manufacturing Technology, 92(5-8), pp. 3019–3031.
[ 12 ] Li, G., Wang, Z. H., and Kubo, A., 2017, “Error-Sensitivity Analysis for Hypoid Gears Using a Real Tooth Surface Contact Model,” Proceedings of the Institution of Mechanical Engineers Part C - Journal of Mechanical Engineering Science, 231(3), pp. 507–521.
[ 13 ] Li, G., Wang, Z. H., and Kubo, A., 2016, “The Modeling Approach of Digital Real Tooth Surfaces of Hypoid Gears Based on Non-Geometric-Feature Segmentation and Interpolation Algorithm,” International Journal of Precision Engineering and Manufacture, 17(3), pp. 281-292.
[ 14 ] Artoni, A., Gabiccini, M., & Kolivand, M. 2013. Ease-off based compensation of tooth surface deviations for spiral bevel and hypoid gears: Only the pinion needs corrections. Mechanism and Machine Theory, 61: 84–101.
[ 15 ] Liu, G.L., Chang, K., & Liu, Z.L. 2013. Reverse engineering of machine-tool setting with modified roll for spiral bevel pinion. Chin J Mech Eng-EN, 26(3): 573–584.
[ 16 ] Gosselin, C., Shiono, Y., Kagimoto, H., & Aoyama, N. 1999. Corrective machine settings of spiral-bevel and hypoid gears with profile deviations. In: 4th World Congress on Gearing and Power Transmissions, Paris, France, pp. 543–555.
[ 17 ] Simon, V. 2008. Influence of tooth errors and misalignments on tooth contact in spiral bevel gears. Mechanism and Machine Theory, 43(10): 1253–1267.

Submit A Manuscript
Review Manuscripts
Join As An Editorial Member
Most Views
by Sergey M. Afonin
2935 Downloads 42652 Views
by Syed Adil Hussain, Taha Hasan Associate Professor
2295 Downloads 19851 Views
by Omprakash Sikhwal, Yashwant Vyas
2366 Downloads 16583 Views
by Munmun Nath, Bijan Nath, Santanu Roy
2263 Downloads 16508 Views
Upcoming Conferences