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Mathematical Problems in Engineering
Volume 2016, Article ID 6347987, 7 pages
Research Article

The Optimal Design Method and Standardized Mathematical Model of Tooth Profile Modification of Spur Gear

1College of Engineering and Technology, Southwest University, Chongqing 400715, China
2School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
3Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China
4School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
5College of Computer Science, Chongqing University, Chongqing 400044, China

Received 4 August 2015; Revised 25 November 2015; Accepted 30 November 2015

Academic Editor: Paolo Lonetti

Copyright © 2016 Wenjie Mei et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The paper reports a tooth profile modification method of spur gear. After establishing a standardized mathematical model for optimized tooth profile and simulating meshing process with ANSYS finite element analysis, we obtained 625 groups of gear models with different modification parameters. The group with minimum transmission errors owns the optimal parameters. Genetic algorithm was adopted in the entire process for the purpose of reducing the variation of transmission errors in meshing process. The arc and parabolic modification were doing the same processing. After comparing the transmission errors fluctuation produced by the meshing process of gear of nonmodification with arc modification and parabolic modification, we found that the best modification effects of arc modification and parabolic modification were both reduced by 90%. The modification method makes the gear drive process more stable and efficient, and it is also promising in general application for gear drive.