Abstract
This paper proposes a quasi-static model with 12 degree-of-freedom (DOF) for the transmission error (TE) analysis of a single-pair of herringbone gear drive. In this model, the manufacturing errors of the gear set are considered, such as the asymmetric error of the double helical line in the pitch cylinder, tooth profile error and circular pitch accumulated error at the transverse plane, which is converted to the common normal direction of the gear pair. To calculate the clearance between the gear pair, the piecewise discrete method is adopted, the meshing of the herringbone gear set, then, can be regarded as that of a series of slice-units. The kinematic relationship between each of the slices and the gear pair is established by equilibrium equations and complimentary equations. Thus, the TE of a herringbone gear drive can be simulated. The influences of various errors on the TE of a herringbone gear set are analysed, to show the proposed method feasible and effective.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Radu, M., Andrei, L., Andrei, G.: A perspective on gear meshing quality based on transmission error analysis. IOP Conf. Ser. Mater. Sci. Eng. 444(5), 052011 (2018)
Park, G., Kim, K., Lee, B., Kim, W.: Correlation of transmission error prediction with vibration measurements for helical gears. In: Proceedings of the 22nd International Congress on Sound and Vibration: Major Challenges in Acoustics, Noise and Vibration Research (2015)
Li, Z., Mao, K.: The tooth profile modification in gear manufacture. Appl. Mech. Mater. 10–12, 317–321 (2008)
Hu, Y., Ryali, L., Talbot, D., Kahraman, A.: A theoretical study of the overall transmission error in planetary gear sets. Proc. Inst. Mech. Eng. Part C-J. Mech. Eng. Sci. 233(21–22), 7200–7211 (2019)
Leque, N., Kahraman, A.: A three-dimensional load sharing model of planetary gear sets having manufacturing errors. J. Mech. Des. 139(3), 033302 (2017)
Bonori, G., Pellicano, F.: Non-smooth dynamics of spur gears with manufacturing errors. J. Sound Vib. 306(1–2), 271–283 (2007)
Guo, F., Fang, Z.: Experimental and theoretical study of gear dynamical transmission characteristic considering measured manufacturing errors. Shock Vib. 2018, 1–20 (2018)
Dong, H., Zhang, C., Bai, S., Wang, D.: Modeling, analysis and testing of load distribution for planetary gear trains with 3D carrier pinhole position errors. Int. J. Precis. Eng. Manuf. 20(8), 1381–1394 (2019)
Liang, X., Zuo, M., Patel, T.: Evaluating the time-varying mesh stiffness of a planetary gear set using the potential energy method. Arch. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 288, 535–547 (2014)
Velex, P., Maatar, M.: A mathematical model for analyzing the influence of shape deviations and mounting errors on gear dynamic behavior. J. Sound Vib. 191(5), 629–660 (1996)
Acknowledgments
This work was supported by the National Key R&D Program of China (No. 2018YFB2001504) and National Natural Science Foundation of China (No. 51375065, U1808213).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Dong, H., Zhao, X., Zhang, C., Wang, D. (2020). A Transmission Error Analysis of a Herringbone Gear Set Considering Manufacturing Error. In: Pisla, D., Corves, B., Vaida, C. (eds) New Trends in Mechanism and Machine Science. EuCoMeS 2020. Mechanisms and Machine Science, vol 89. Springer, Cham. https://doi.org/10.1007/978-3-030-55061-5_27
Download citation
DOI: https://doi.org/10.1007/978-3-030-55061-5_27
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-55060-8
Online ISBN: 978-3-030-55061-5
eBook Packages: EngineeringEngineering (R0)