Abstract
The asymmetry tooth profile design theory of the offset involute cylindrical worm is analyzed systematically. Based on the reference circle diameter of the worm obtained by AGMA formula, a series of design parameter calculation formulae of the offset involute cylindrical worm are derived. Besides, the axial and end section of the tooth profile of the offset involute cylindrical worm are studied. The results show that a series of parameters such as normal section pressure angle, end section pressure angle, helical angle of base circle and radius of base circle can be obtained from the basic parameters such as axial tooth profile angle, diameter of reference circle and modulus.
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References
Litvin, F.L.: Development of Gear Technology and Theory of Gearing. NASA Reference Publication, Cleveland, Ohio (1997)
Sarri, O.E.: Speed-reduction gearing, united states patent office, Patent No. 2696125 (1954)
Saari, O.E.: Skew axis gearing, United States Patent Office, Patent No. 2954704 (1960)
Zhao, Y., Kong, X., Peng, X.: Meshing principle of conical surface enveloping spiroid drive. Mech. Mach. Theo. 123, 1–26 (2018)
Zhao, Y.: Engineering Differential Geometry of Curves and Surfaces. Science Press, Beijing (2023)
Meng, Q., Zhao, Y., Cui, J., et al.: Meshing theory of offsetting Archimedes cylindrical worm drive. Mech. Based Des. Struct. Mach. (2022). https://doi.org/10.1080/15397734.2022.2102994
Zhu, X., Zhao, Y., Chi, Y., et al.: Meshing principle and geometry of tooth profile for offset enveloping cylindrical worm drive. Mech. Mach. Theory 180, 105171 (2023)
Feng, G., Xie, Z., Zhou, M.: Geometric design and analysis of face-gear drive with involute helical pinion. Mech. Mach. Theo. 134(2019), 169–196
Zschippang, H.A., Weikert, S., Küçük, K.A., et al.: Face-gear drive: geometry generation and tooth contact analysis. Mech. Mach. Theory 142, 103576 (2019)
Qi, L., Zhang, Y., Li, S., et al.: Design of Worm Gearing. China Machine Press, Beijing (1986)
Dong, X.: Foundation of Gear Engagement Theory. China Machine Press, Beijing (1989)
Sun, H., Chen, Z., Ge, W.: Theory of Machines and Mechanisms. Seven Edition. Higher Education Press, Beijing (2006)
L. Pu, G. Chen, L. Wu.: Design of Mechanisms. Nine Edition. Higher Education Press, Beijing (2013)
Editorial Committee of Gear Handbook.: Gear Handbook. Second Edition. China Machine Press, Beijing (2004)
Litvin, F.L., Fuentes, A.: Gear Geometry and Applied Theory, 2nd edn. Cambridge University Press, Cambridge (2004)
Acknowledgements
This study was funded by the National Natural Science Foundation of China (52075083 and 52205069) and the Open Fund of the Key Laboratory of Metallurgical Equipment and Control Technology, Ministry of Education, Wuhan University of Science and Technology (MECOF2021B02 and MECOF2022B04).
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Yaoting, Y., Yaping, Z. (2024). Tooth Profile Design Theory of Asymmetrical Involute Cylindrical Worm in Face Worm Gear Drive. In: Okada, M. (eds) Advances in Mechanism and Machine Science. IFToMM WC 2023. Mechanisms and Machine Science, vol 149. Springer, Cham. https://doi.org/10.1007/978-3-031-45709-8_6
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DOI: https://doi.org/10.1007/978-3-031-45709-8_6
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