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Computation of meshing imprint and loading capacity of S-shaped gear pair with small number (2–6) of pinion teeth

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Abstract

The S-shaped tooth profile can solve the undercutting problem appearing in involute gears with small number (2–6) of teeth. The reduced comprehensive curvature of concave-convex meshing tooth surface can improve the loading capacity of the gear pair. Since the tooth shape is different from any existing tooth profile, no existing formulas of meshing imprint and loading capacity can be applied to the S-shaped tooth profile gear. In this paper, the tooth surface model of S-shaped gear pair with SNPT (small number of pinion teeth) is established for the first time. A general numerical analysis method for meshing imprint and the total length of meshing imprint on tooth surface are developed. A numerical analysis method of gear pair loading capacity is proposed. The results were validated by the FEM and experiment. The numerical computation of the meshing imprint and distributed stress on the gear surfaces is efficient, which lays the foundation for optimum design of the S-shaped gear pair.

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Acknowledgements

The author would like to appreciate the National Natural Science Foundation of China (No. 51875395) and Basic Scientific Research Foundation of Hebei Province (No. ZQK202010) for financially supporting this work.

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Authors and Affiliations

  1. School of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

    Qiang Sun

  2. Key Laboratory of Mechanism and Equipment Design of Ministry of Education, Tianjin University, Tianjin, 300072, China

    Yuehai Sun

  3. Department of Mechanical and Aerospace Engineering, Monash University, Melbourne, 3168, Australia

    Chao Chen

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  1. Qiang Sun
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  2. Yuehai Sun
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  3. Chao Chen
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Correspondence to Qiang Sun.

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Technical Editor: Monica Carvalho.

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Sun, Q., Sun, Y. & Chen, C. Computation of meshing imprint and loading capacity of S-shaped gear pair with small number (2–6) of pinion teeth. J Braz. Soc. Mech. Sci. Eng. 43, 415 (2021). https://doi.org/10.1007/s40430-021-03128-9

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  • DOI: https://doi.org/10.1007/s40430-021-03128-9

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