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Transmission error analysis of cycloidal pinwheel meshing pair based on rolling–sliding contact

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Abstract

Based on the phenomenon that the rolling and sliding of the pin tooth coexist in the actual working conditions of the cycloid pinwheel meshing pair, a sliding function to represent the sliding mechanism between the pin and cycloid teeth profile is introduced. Additionally, a cycloid tooth profile considering the rolling and sliding contact is proposed. The tooth profile equation of a cycloidal gear based on rolling and sliding in the differential geometry and theory of gearing is deduced. The sliding ratios of the new cycloid pin tooth are compared with those of traditional cycloid planetary transmission. The results show a reduction in the sliding ratios of the tooth surface and an improvement in the wear condition of the gear pair. The tooth contact analysis of the new cycloidal gear using the simulated sliding design parameters is established, and the transmission error of the new cycloidal pinwheel meshing pair is calculated by using the tooth profile discretization method. Thereafter, the influence of the design parameters on the transmission error, including the sliding parameters, pin radius, pin position radius, and eccentricity, are analyzed. Finally, the RV-110E prototype based on the cycloid gear using the simulated sliding design parameters was fabricated. Subsequently, its transmission accuracy and the comparison with the simulation results were tested, verifying the correctness of the design theory. And the transmission accuracy after the accelerated fatigue life test was also tested, and the results show that the prototype has excellent accuracy retention.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China [Grant Number 51775059] and the National Key R&D Program of China [grant number 2017YFB1300701].

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Authors and Affiliations

  1. State Key Laboratory of Mechanical Transmissions, Chongqing University, Chongqing, 400030, People’s Republic of China

    Jian Huang, Chaoyang Li, Ye Zhang, Yanhua Wang & Bingkui Chen

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  1. Jian Huang
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  2. Chaoyang Li
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  3. Ye Zhang
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  4. Yanhua Wang
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  5. Bingkui Chen
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Correspondence to Chaoyang Li.

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Huang, J., Li, C., Zhang, Y. et al. Transmission error analysis of cycloidal pinwheel meshing pair based on rolling–sliding contact. J Braz. Soc. Mech. Sci. Eng. 43, 355 (2021). https://doi.org/10.1007/s40430-021-03074-6

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  • DOI: https://doi.org/10.1007/s40430-021-03074-6

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