Mechanical Sciences
Mechanical Sciences
Mechanical Sciences
Articles | Volume 16, issue 2
Articles | Volume 16, issue 2
https://doi.org/10.5194/ms-16-475-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/ms-16-475-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 16, issue 2
Research article
 | 
16 Sep 2025
Research article |  | 16 Sep 2025

Meshing characteristics of variable hyperbolic circular-arc tooth trace cylindrical gears with cutter errors

Dengqiu Ma, Jianbing Long, and Zhenglong Zhu

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Cited articles

Dongu, I., Woo, J., Hyunggon, L., You, J., Hyunjoon, S., Minwook, L., and Young, J.: Analysis of gear transmission error in helical gear using enhanced tooth contact analysis model considering measured tooth profile errors, Sci. Rep., 15, 5981, https://doi.org/10.1038/s41598-025-90010-6, 2025. 
Dai, Z., Li, T., Zhang, Y., Zhou, J., and Zhang, R.: A model construction and measurement method for tooth surface deviation of spiral bevel gear-based a on one-dimensional probe, Meas. Sci. Technol., 34, 045001, https://doi.org/10.1088/1361-6501/acabdc, 2023. 
Dongu, I., Woo-Jin, C., Hyunggon, L., You-Jin, L., Hyunjoon, S., Minwook, L., and Young-Jun, P.: Analysis of gear transmission error in helical gear using enhanced tooth contact analysis model considering measured tooth profile errors, Sci. Rep., 15, 5981, https://doi.org/10.1038/s41598-025-90010-6, 2025. 
Ke, T., Ding, H., Geng, M., and Gong, C.: Automatic configuration analysis method of planetary gear automatic transmission, P. I. Mech. Eng. D-J. Aut., 239, 886–904, https://doi.org/10.1177/09544070231207163, 2025. 
Li, F., Wang, S., Chen, P., Li, Z., Li, L., and Zou, H.: Optimization of high-efficiency tooth surface accuracy of spiral bevel gears considering machine-tool motion errors, P. I. Mech. Eng. D-E. Pro., 237, 1394–1406, https://doi.org/10.177/9544089221113639, 2023b. 
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Short summary
In Sect. 1, a coordinate system for tooth surface formation with cutter errors is established to derive the tooth surface equation. In Sect. 2, the tooth contact analysis model and load tooth contact analysis model are established, and the formulas of the tooth surface contact ellipse and main curvature direction angles are derived. In Sect. 3, the influences of the cutter errors on the contact ellipses, the tooth surface contact trace, and the loaded contact characteristics are analyzed.
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