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Design of Harmonic Drive with Double-Circular-Arc Tooth Profile

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Advances in Mechanism and Machine Science (IFToMM WC 2023)

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 149))

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Abstract

This paper proposes a method for designing the double-circular-arc tooth profile of the harmonic drive with consideration of the relative motion characteristics between flexspline and circular spline teeth. Compared with the conventional double-circular-arc tooth profile, the proposed one has fewer parameters and higher correlation between the circular-arc and design parameters. First, the proposed tooth profile consisting of two circular arcs is introduced and its equation is formulated. Secondly, the trajectory of the flexspline tooth profile is analyzed in the case of the circular spline fixed. Then the envelope motion process of the tooth profile is investigated and the continuous conjugation condition is established for designing the parameters of flexspline tooth profile. Finally, the effectiveness of the design method is verified by numerical example. The result shows that the proposed tooth profile can achieve continuous engagement without interference and there are 37.7% of teeth participating in engagement. The research may provide a new thought for the innovative design of harmonic drive tooth profile.

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References

  1. Musser, C.W.: Strain Wave Gearing. US Patent No. 2,906,143 (1955)

    Google Scholar 

  2. Routh, B.: Design aspects of harmonic drive gear and performance improvement of its by problems identification: a review. In: AIP Conference Proceedings 1943, 20016 (2018)

    Google Scholar 

  3. Shen, Y.W.: A few problems in the study of the engagement of involute harmonic gears. Gear 03, 17–27 (1979)

    Google Scholar 

  4. Sahoo, V., Maiti, R.: Load sharing by tooth pairs in involute toothed harmonic drive with conventional wave generator cam. Meccanica 53, 373–394 (2018)

    Article  Google Scholar 

  5. Shen, Y.W., Ye, Q.T.: Theory and Design of Harmonic Gear Drive. China Machine Press, Beijing (1985)

    Google Scholar 

  6. León, D., Arzola, N., Tovar, A.: Statistical analysis of the influence of tooth geometry in the performance of a harmonic drive. J. Braz. Soc. Mech. Sci. Eng. 37(2), 723–735 (2015)

    Article  Google Scholar 

  7. Гинэбypг, E.Г: Harmonic Gear Drive: Principle. Design and Technology. National Defense Industry Press, Beijing (1982)

    Google Scholar 

  8. Shen, Y.W.: On the tooth profile of harmonic gear drive. Gear 04, 53–58 (1986)

    Google Scholar 

  9. Zeng, S.Q., Yang, J.J., Wang, X.F.: Kinematic characteristics analysis of double circular arc tooth harmonic gear drive. J. Huazhong Uni. Tech. 28(01), 12–14 (2000)

    Google Scholar 

  10. Xin, H.B.: A new method to study the meshing principle of harmonic gear drive. China Mech. Eng. 13(03), 7–9 (2002)

    Google Scholar 

  11. Xin, H.B.: Design for basic rack of harmonic drive with double-circular-arc tooth profile. China Mech. Eng. 22(06), 656–662 (2011)

    Google Scholar 

  12. Chen, X.X., Liu, Y.S., Xing, J.Z., Lin, S.Z., Xu, W.: The parametric design of double-circular-arc tooth profile and its influence on the functional backlash of harmonic drive. Mech. Mach. Theory 73(2), 1–24 (2014)

    Google Scholar 

  13. Dong, H.M., Ting, K.L., Wang, D.L.: Kinematic fundamentals of planar harmonic drives. J. Mech. Des. 133(1), 11007 (2011)

    Article  Google Scholar 

  14. Yu, Z.J., Ling, S.Y., Wang, X.D., Wang, L.D.: Study on tooth profile design of harmonic drive with deformation model of flexspline. Meccanica 56(7), 1883–1904 (2021)

    Article  MathSciNet  MATH  Google Scholar 

  15. Chen, G.S., Li, H.H., Liu, Y.: Double-arc harmonic gear profile design and meshing analysis for multi-section conjugation. Adv. Mech. Eng. 11(5), 1–14 (2019)

    Article  Google Scholar 

  16. Yang, Y.T., Li, J.Y., Wang, J.X., Zeng, F.J.: Analysis of tooth profile modification and meshing characteristics of double arc harmonic drive. In: 4th International Conference on Electron Device and Mechanical Engineering, pp. 268–273 (2021)

    Google Scholar 

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Acknowledgements

This research work was supported by the National Natural Science Foundation of China (Grant No. 52075363) and the Natural Science Foundation of Tianjin, China (Grant No. 22JCZDJC00920).

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Correspondence to Yuhu Yang .

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Xie, R., Zhou, G., Liu, H., He, Q., Yang, Y., Shen, Z. (2024). Design of Harmonic Drive with Double-Circular-Arc Tooth Profile. 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_10

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  • DOI: https://doi.org/10.1007/978-3-031-45709-8_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-45708-1

  • Online ISBN: 978-3-031-45709-8

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