Curvature synthesis for face-milling spiral bevel gears with high-order transmission errors

Jianjun Yang, Bingyang Wei, Hua Zhang, Zhenghong Shi, Jubo Li, Teik C. Lim

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


A modification methodology based on curvature synthesis for face-milling spiral bevel gears is proposed in this paper. This scheme includes the calculation of machine-tool settings and determination of the instantaneous modified roll ratio based on different predesigned high-order transmission error (TE) curves. Firstly, the principal curvatures and directions of ease-off pinion surface at mean contact point are carried out based on the fully conjugate pinion surface. The machine-tool settings of the pinion can be determined to meet with the meshing conditions between the cradle and the pinion. Then, compared with the parabolic TE, the amplitudes of loaded TE under a series of pinion torque for fourth-order and sixth-order TE are decreased based on the results of loaded tooth contact analysis. Finally, an example is provided to verify the proposed method. The parabolic, fourth-order and sixth-order transmission error curves are used to illustrate how to obtain the modified roll curve.

Original languageEnglish (US)
Article number25
JournalJournal of the Brazilian Society of Mechanical Sciences and Engineering
Issue number1
StatePublished - Jan 1 2020
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Engineering
  • Mechanical Engineering
  • Aerospace Engineering
  • Applied Mathematics
  • Industrial and Manufacturing Engineering
  • Automotive Engineering


  • Curvature synthesis
  • High-order transmission error
  • Modified roll ratio
  • Relative principal curvature
  • Spiral bevel gears


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