Abstract
The theory to compute the meshing limit line of an involute worm pair is fully established on the basis of the meshing theory for gear drives. Some basic and important results are obtained, such as the meshing function and the meshing limit function. Unlike other types of worm drive, the equations of the meshing limit line and its conjugate line can be attained in two-parameter form for an involute worm pair. In general, there is only one meshing limit line on the tooth surfaces for an involute worm gearing, who always locates in the middle of the worm thread length. From the viewpoint of this, the working length of an involute worm generally cannot exceed the half of the thread length. On the other hand, the conjugate line of the meshing limit line usually locates in the middle of the worm gear tooth surface. As a result, the whole conjugate zone on the worm gear tooth surface is divided into two parts. This means that there are two sub-conjugate zones on the worm gear tooth surface. The numerical example is provided for validation and verification.
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References
Crosher, William P.: Design and application of worm gear. ASME Press, New York (2002).
China Gear Standardization Technological Committee: Compilation of China mechanical industry standards, gear and transmission (Vol. 2). China Standard Press, Beijing (2005).
Litvin, Faydor L., translated into Chinese by Ding, Chun: Meshing principle for gear drives. Shanghai Science and Technology Press, Shanghai (1964).
Litvin, Faydor L., translated into Chinese by Lu, Xianzhan et al: Meshing principle for gear drives (second edition). Shanghai Science and Technology Press, Shanghai (1984).
Litvin, Faydor L., Fuentes, Alfonso: Gear geometry and applied theory (second edition). Cambridge University Press, Cambridge (2004).
Zhao, Yaping, Meng, Qingxiang: Characteristics of meshing limit line of conical surface enveloping conical worm drive. In: Proceedings of International Gear Conference 2018, pp. 1309-1314. Chartridge Books Oxford, Lyon Villeurbanne, France (2018).
Zhao, Yaping, Sun, Xiaodong: On meshing limit line of ZC1 worm pair. In: Proceedings of the 7th European Conference on Mechanism Science, pp. 292-298. Springer, Aachen, Germany (2018).
Wu, Daren, Luo, Jiashun: Meshing theory for gear drives. Science Press, Beijing (1985).
Wang, Shuren, Liu, Pingjuan: Meshing principle of cylindrical worm drives. Tianjin Sci-ence and Technology Press, Tianjin (1982).
Zhao, Yaping: Determination of the most dangerous meshing point for modified hourglass worm drives. ASME Journal of Mechanical Design 135(3), 034503/1- 034503/5 (2013).
Zhao, Yaping: Computing method for induced curvature parameters based on normal vector of instantaneous contact line and its application to Hindley worm pair, Advances in Mechanical Engineering 9(10), 1–15 (2017).
Acknowledgments
This study was funded by National Natural Science Foundation of China (51475083), and the open fund of the key laboratory for metallurgical equipment and control of Ministry of Education in Wuhan University of Science and Technology (2018B05).
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Zhao, Y., Mu, S., Liu, S. (2019). Meshing Limit Line of Involute Worm Drive. In: Uhl, T. (eds) Advances in Mechanism and Machine Science. IFToMM WC 2019. Mechanisms and Machine Science, vol 73. Springer, Cham. https://doi.org/10.1007/978-3-030-20131-9_112
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DOI: https://doi.org/10.1007/978-3-030-20131-9_112
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