Geometry design of an elementary planetary gear train with cylindrical tooth-profiles

Hong Sen Yan, Ta Shi Lai

Research output: Contribution to journalArticlepeer-review

48 Citations (Scopus)


This work presents a concept of elementary gear trains such that the tooth-profiles of the pinion are cylindrical. The pitch radius is replaced by the distance between the gear center and the tooth center as the radius of gears. Based on coordinate transformation, triple vector product of differential geometry, and theory of conjugate surfaces, equation of meshing is derived. A program is developed to solve the conjugate surface equations, and to show the solid modeling of the proposed elementary planetary gear trains.

Original languageEnglish
Pages (from-to)757-767
Number of pages11
JournalMechanism and Machine Theory
Issue number8
Publication statusPublished - 2002 Aug

All Science Journal Classification (ASJC) codes

  • Bioengineering
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications


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