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

Qiang Sun, Yuehai Sun, Chao Chen

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1 Citation (Scopus)


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.

Original languageEnglish
Article number415
Number of pages15
JournalJournal of the Brazilian Society of Mechanical Sciences and Engineering
Issue number9
Publication statusPublished - 16 Aug 2021


  • Gear pair
  • Gear with small number of teeth
  • Loading capacity
  • Meshing imprint
  • Numerical analysis
  • S-shaped gear

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