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A Transmission Error Analysis of a Herringbone Gear Set Considering Manufacturing Error

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New Trends in Mechanism and Machine Science (EuCoMeS 2020)

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 89))

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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.

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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).

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Correspondence to Huimin Dong .

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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

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  • DOI: https://doi.org/10.1007/978-3-030-55061-5_27

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-55060-8

  • Online ISBN: 978-3-030-55061-5

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