Articles | Volume 14, issue 2
https://doi.org/10.5194/ms-14-305-2023
https://doi.org/10.5194/ms-14-305-2023
Research article
 | 
04 Aug 2023
Research article |  | 04 Aug 2023

Ellipsoid contact analysis and application in the surface conjugate theory of face gears

Xiaomeng Chu, Yali Liu, and Hong Zeng

Related subject area

Subject: Mechanisms and Robotics | Techniques and Approaches: Mathematical Modeling and Analysis
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Cited articles

Chang, S. H., Chung, T. D., and Lu, S. S.: Tooth contact analysis of face gear drives, Int. J. Mech. Sci., 42, 487–502, https://doi.org/10.1016/S0020-7403(99)00013-2, 2000. 
Dong, H., Liu, Z.-Y., Duan, L.-L., Hu, Y.-H.: Research on the sliding friction associated spur-face gear meshing efficiency based on the loaded tooth contact analysis, PLoS ONE, 13, e0198677, https://doi.org/10.1371/journal.pone.0198677, 2018. 
Feng, G., Xie, Z., and Zhou, M.: Geometric design and analysis of face-gear drive with involute helical pinion, Mech. Mach. Theory, 134, 169–196, https://doi.org/10.1016/j.mechmachtheory.2018.12.020, 2019. 
Fu, X., Fang, Z., Cui, Y., Hou, X., and Li, J.: Modelling, design and analysis of offset, non-orthogonal and profile-shifted face gear drives, Adv. Mech. Eng., 10, 1–12, https://doi.org/10.1177/1687814018798250, 2018. 
Guingand, M., Vaujany, J. P., and Jacquin, C. Y.: Quasi-static analysis of a face gear under torque, Comput. Method. Appl. M., 194, 4301–4318, https://doi.org/10.1016/j.cma.2004.10.010, 2005a. 
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Short summary
In the design and processing of face gears, it is not necessary to accurately express the tooth surface with an equation, since it will be difficult to analyze some of the most important and practical features, such as the induced curvature relationship. In this regard, this paper uses the discrete curvature relationship of a spatial gradient curvature ellipsoid to describe the space meshing surface, and it establishes a set of discrete digital conjugate surface meshing principles.