A Novel Model of an S-Shaped Tooth Profile Gear Pair with a Few Pinion Teeth and Tooth Contact Analysis Considering Shaft Misalignments
Source abstract
Abstract
Due to the special meshing of convex and concave tooth profiles, an S-shaped tooth profile gear with a few teeth has the advantage of reducing the contact stress and improving the contact ratio. However, the theoretical inseparability of the center distance of an S-shaped tooth profile and shaft misalignments, including center distance errors and axis parallelism errors caused by manufacturing or installation errors, can easily cause tip contact and produce transmission errors. Accordingly, it is necessary to analyze the influence of shaft misalignments on the meshing performance. In this paper, a unified mathematical model of spur and helical gears with an S-shaped tooth profile is established and an analytic method for determination of the contact pattern, meshing path, and transmission error of a gear pair with shaft misalignments is proposed. Then, the validity of the analytic method is proved by practical examples and the influence of shaft misalignments on the contact pattern of an S-shaped tooth profile gear pair is obtained. Through comparison with an involute gear with the same parameters, it is found that shaft misalignments within a certain range result in an acceptable transmission error and contact area migration of the S-shaped tooth profile gear pair similar to that of the involute gear pair.
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Research context
OpenAlex topics: Gear and Bearing Dynamics Analysis · Mechanical Engineering and Vibrations Research · Tribology and Lubrication Engineering
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
Funding
Natural Science Foundation of Hebei Province
References (25)
Show source-provided references
1. Modification of involute gear pair with fewer teeth based on equal bending strength
2. The generation principle, mathematical models of variable involute, and its application
3. A design method for a novel movable tooth drive with logarithmic spiral conjugated tooth profiles10.1177/09544062221097262 ↗
4. Design and Analysis of Internal Compound Cycloid Gear Transmission with High Contact Ratio10.3901/JME.2017.01.055 ↗
5. Manufacturing method of double-helical gears using CNC machining center10.1177/0954406215602288 ↗
6. Design and hot forging manufacturing of non-circular spur bevel gear10.1016/j.ijmecsci.2017.08.025 ↗
7. Influence of Linear Profile Modification and Loading Conditions on The Dynamic Tooth Load and Stress of High-Contact-Ratio Spur Gears10.1115/1.2912807 ↗
8. Sun, Y.H., and Sun, Q. (2015). A New Type of Gear Cutting Tools. (CN104439540A).
9. Sun, Y.H., and Sun, Q. (2015). A Kind of Special Type Profile Gear. (CN104455315A).
10. Yahaya, S.H., Salleh, M.S., and Ali, J.M. (2009, January 28–30). Spur Gear Design With an S-shaped Transition Curve Application Using MATHEMATICA and CAD Tools. Proceedings of the 2009 Second International Conference on Machine Vision, Dubai, United Arab Emirates.10.1109/ICMV.2009.19 ↗
11. Different teeth profile shapes of polymer gears and comparison of their performance10.1299/jamdsm.2017jamdsm0083 ↗
12. Gradual development of S-shaped gears10.1051/matecconf/202236601001 ↗
13. Complex geometric modeling and tooth contact analysis of a helical face gear pair with arc-tooth10.1007/s11771-022-4988-7 ↗
14. Li, Y.F. (2021). Research on Contact Characteristics and Modification Design of Gear System Considering Meshing Misalignment. [Master’s Thesis, Chang’an University].
15. A computerized method for loaded tooth contact analysis of high-contact-ratio spur gears with or without flank modification considering tip corner contact and shaft misalignment10.1016/j.mechmachtheory.2015.11.008 ↗
16. On the modelling of gear alignment errors in the tooth contact analysis of spiral bevel gears10.1016/j.mechmachtheory.2020.104065 ↗
17. Numerical tooth contact analysis of gear transmissions through the discretization and adaptive refinement of the contact surfaces10.1016/j.mechmachtheory.2016.03.009 ↗
18. Tooth Contact Analysis of Spiral Bevel Gears Based on Digital Real Tooth Surfaces10.3901/JME.2014.15.001 ↗
19. Contact stress analysis of helical gear pairs, including frictional coefficients10.1016/j.ijmecsci.2014.05.013 ↗
20. Analytical Solution to Bending and Contact Strength of Spiral Bevel Gears in Consideration of Friction10.1016/j.ijmecsci.2017.05.010 ↗
21. Contact analysis of spur gears based on longitudinal modification and alignment errors
22. Wu, X.T. (2009). Gear Geometry and Applied Theory, China Machine Press. [2nd ed.].
23. Gear Manual Editing Committee (2000). Gear Manual, China Machine Press.
24. Wang, Z.H. (2013). Simulation of Dynamic Performance of Hypoid Gears, Science Press.
25. Xue, D.Y., and Chen, Y.Q. (2004). Advanced Applied Mathematics Problem Solving by MATLAB, Tsinghua University Press.