Mathematical model of a spur gear with asymmetric involute teeth and its cutting simulation

Cuneyt Fetvaci*, Erdem Imrak

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)

Abstract

This paper gives a mathematical model for spur gears with asymmetric involute teeth based on the gear theory and generating mechanism. The equations of designed profile of rack cutter with asymmetric teeth, the principle of coordinate transformation, the theory of differential geometry, and the theory of gearing are applied. Trochoidal envelope traced by cutter during generating process is also investigated. Computer graphs of asymmetric involute spur gears are presented based on the given model, and also generation simulation is illustrated. The results of this research should be helpful in the design and manufacture of asymmetric gears.

Original languageEnglish
Pages (from-to)34-46
Number of pages13
JournalMechanics Based Design of Structures and Machines
Volume36
Issue number1
DOIs
Publication statusPublished - Jan 2008

Keywords

  • Asymmetric involute
  • Gear design
  • Generation simulation
  • Trochoidal path

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