Using double envelope method on a planetary gear mechanism with double circular-arc tooth

Chun Fang Tsai, Tsang Lang Liang, Hsueh-Cheng Yang Yang

Research output: Contribution to journalArticle

2 Citations (Scopus)


A geometric model and mathematical model of planetary gear mechanism with double circular-arc teeth is determined using the imaginary rack cutters and double envelope concept. The mathematical model of a ring gear with double circular-arc teeth in a second envelope has been developed. In this paper, the conditions of the gear meshing and contact load of the gears are simulated by assembly errors. The goal of the stress analysis is to determine the contact stress on the planet gear and ring gear, and planet gear and sun gear. Given the assembly errors of the planetary gear mechanism including center distance error and mis-aligmment error, the maximum von-Mises stress in the planetary gear mechanism with double circular-arc teeth is analyzed using visualNastran desktop package. It is found that the center distance error is more critical to mis-alignment error.

Original languageEnglish
Pages (from-to)267-282
Number of pages16
JournalTransactions of the Canadian Society for Mechanical Engineering
Issue number2
Publication statusPublished - 2008 Dec 1


All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

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