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Approximation model for longitudinal-crowned involute helical gears with flank twist in continuous generating grinding

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Abstract

Longitudinal-crowned involute helical gears perform better in load capacity and can improve transmission quality. When longitudinal crowning of helical gears is processed with continuous generating grinding, the flank twist occurs and reduces the transmission stability of gears. In the paper, an innovative approximation model is proposed to demonstrate the relationships between the flank twist and parameters (including gear parameters and modification parameters) in a simple mathematical form. The flank twist calculated by the approximation model is compared with that calculated based on the gear meshing principle. The comparison results confirm that the model is right. Based on the new model, the influences of gear parameters on the flank twist are analyzed. The model can reduce the flank twist in the gear design.

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Availability of data and material

The data in the paper are just the results from the following program in the next section. The parameters of the gears used in the program are listed in Section 5.1.

Code availability

The software is complex, so the main part of the software for calculating the flank with flank twist is provided below.

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Acknowledgements

The authors would like to thank Christof Gorgels from Klingelnberg for their active support in the preparation of this paper.

Funding

This work was funded by National Natural Science Foundation of China (51805011 and 51635001).

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Authors and Affiliations

  1. Beijing Engineering Research Center of Precision Measurement Technology and Instruments, Beijing University of Technology, Pingleyuan 100, Beijing, 100124, China

    Bo Yu, Hanlin Kou, Baoya Zhao, Zhaoyao Shi & Yanqiang Sun

  2. CRRC Qishuyan Institute Co., Ltd., Wuyi Road 258, Changzhou, 213011, China

    Guoqing Wu

Authors
  1. Bo Yu
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  2. Hanlin Kou
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  3. Baoya Zhao
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  4. Zhaoyao Shi
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  5. Yanqiang Sun
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  6. Guoqing Wu
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Contributions

Bo Yu proposed the new approximation model and verified the model.

Hanlin Kou calculated the flank twist based on the meshing principle.

Baoya Zhao established the meshing coordinate system.

Zhaoyao Shi found that the path of the contact points was a straight line.

Yanqian Sun compiled some figures.

Guoqing Wu provided the parameters of the gears.

Corresponding author

Correspondence to Bo Yu.

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Yu, B., Kou, H., Zhao, B. et al. Approximation model for longitudinal-crowned involute helical gears with flank twist in continuous generating grinding. Int J Adv Manuf Technol 114, 3675–3694 (2021). https://doi.org/10.1007/s00170-021-07099-y

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  • DOI: https://doi.org/10.1007/s00170-021-07099-y

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