Kinematic errors on a c-type gear with a parabolic surface

Hsueh Cheng Yang, Ching Sheng Chang

Research output: Contribution to journalArticlepeer-review


An asymmetric tooth is used to develop a mathematical model of an imaginary skewed rack cutter. Using this imaginary skewed rack cutter and the theory of gearing, a pair of helical gears with asymmetric, straight teeth and a parabolic surface is created. Using tooth contact analysis, this mathematical model of a pair of helical gears with a parabolic surface is used to study the kinematic errors that occur because of assembly errors. Using a computer-aided software package to simulate the scenario, the kinematic errors for the gear set when it is ideally assembled and inaccurately assembled are presented. The contact pattern between the pair of helical gears is obtained. A pair of helical gears is created by rapid prototype machining and is used to observe the actual contact conditions of the gears.

Original languageEnglish
Pages (from-to)2557-2568
Number of pages12
JournalJournal of Testing and Evaluation
Issue number6
Publication statusPublished - 2018 Mar 15

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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