Abstract
The theory of the meshing limit line of a ZC1 worm pair is fully established on the basis of meshing theory for gear drives. A method to judge the existence of the meshing limit line is proposed. Meanwhile such a method can provide the reasonable initial value for iteratively solving the nonlinear equation encountered during determining the meshing limit line. The numerical example is provided for validation and verification and the result shows, usually, the working length of a ZC1 worm cannot be in excess of the half of its thread length.
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Litvin, F.L.: Development of Gear Technology and Theory of Gearing. NASA Reference Publication, Cleveland (1997)
Dudas, I.: The Theory and Practice of Worm Gear Drives. Penton Press, London (2000)
Litvin, F.L., et al.: Gear Geometry and Applied Theory, 2nd edn. Cambridge University Press, Cambridge (2004)
Crosher, W.: Design and Application of the Worm Gear. ASME Press, New York (2002)
Litvin, F.L.: Meshing Principle for Gear Drives (齿轮啮合理论) (trans. D Chun). Shanghai Science and Technology Press, Shanghai (1964). (in Chinese)
Wu, H., et al.: Design of Worm Drive (蜗杆传动设计), vol. 1. Mechanical Industry Press, Beijing (1986). (in Chinese)
Wang, S.: Circular Arc Cylindrical Worm Drive (圆弧圆柱蜗杆传动). Tianjin University Press, Tianjin (1991). (in Chinese)
Dong, X.: Foundation of Meshing Theory for Gear Drives (齿轮啮合理论基础). China Machine Press, Beijing (1989). (in Chinese)
Wu, D., Luo, J.: Meshing Theory for Gear Drives (齿轮啮合理论). Science Press, Beijing (1985). (in Chinese)
Zhao, Y., Zhang, Y.: Determination of the Most Dangerous Meshing Point for Modified Hourglass Worm Drives. ASME J. Mech. Des. 135(3), 034503/1–034503/5 (2013)
Acknowledgments
This study was funded by National Natural Science Foundation of China (51475083, U1708254), and the Fundamental Research Funds for the Central Universities (N160304012).
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Zhao, Y., Sun, X. (2019). On Meshing Limit Line of ZC1 Worm Pair. In: Corves, B., Wenger, P., Hüsing, M. (eds) EuCoMeS 2018 . EuCoMeS 2018. Mechanisms and Machine Science, vol 59. Springer, Cham. https://doi.org/10.1007/978-3-319-98020-1_34
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DOI: https://doi.org/10.1007/978-3-319-98020-1_34
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