Fast modeling of conjugate gear tooth profiles using discrete presentation by involute segments

Vasilios Spitas, Theodore Costopoulos, Christos Spitas

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)

Abstract

This paper introduces the method of the discretization of the gear tooth flank in involute segments for the determination of conjugate gear tooth profiles. Instead of following a point-to-point analytical approach to the problem of determining the path of contact and the geometry of the generating rack and the mating wheel, the actual tooth flank is considered to be composed of infinitesimal local involutes and therefore a closed solution can be achieved. Due to its simplicity, the method is faster than the standard theory of gearing and this is particularly useful in problems requiring iterative calculations of the tooth geometry such as gear optimization. The method is implemented on modified involute as well as loboid gears used in lobe pumps and it is verified against existing theories.

Original languageEnglish
Pages (from-to)751-762
Number of pages12
JournalMechanism and Machine Theory
Volume42
Issue number6
DOIs
Publication statusPublished - Jun 1 2007
Externally publishedYes

Keywords

  • Computational method
  • Gear modeling
  • Involute
  • Local-involute

ASJC Scopus subject areas

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

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