Gear meshing analysis of planetary gear sets with a floating sun gear

Shyi Jeng Tsai, Guan Lin Huang, Siang Yu Ye

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


The goal of this study is to propose an analytical approach for analysis of gear meshing in a planetary gear set with a floating sun gear. With focus on the basic geometrical relation, we derive a set of equations based on the exact involute gear geometry for calculation of the tooth clearances among engaged unmodified or modified flanks of gears having relevant errors. Two constraint conditions for the floating sun gear are established for determination of the movable area. Numerical examples are presented to explore the influences of the planet gear number, the backlashes, and the assembly/manufacturing errors on the tooth clearance, the moveable area and assemblability of the sun gear.

Original languageEnglish
Pages (from-to)145-163
Number of pages19
JournalMechanism and Machine Theory
StatePublished - Feb 2015


  • Assemblability
  • Backlash
  • Gear meshing analysis
  • Movable area
  • Planetary gear sets


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