Towards optimum involute gear design by combining addendum and thickness modifications

Vasilios Spitas, Christos Spitas

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Involute gear sets are being produced through a variety of cutting tools and generation methods in a number of pressure angle and whole depth systems with 20–2.25 m being the most common. Positive addendum modifications (profile shifts) are also common particularly because the resulting teeth are stronger, although at the expense of the contact ratio, scoring resistance and pitting resistance. This paper discusses the effect of combined addendum modifications and changes in nominal tooth thickness of meshing gears on the minimization of the root bending stress. The tooth mesh-strength problem is treated as non-dimensional, which substantially reduces computational time as well as the total number of design variables. Instead of modeling the loaded gear tooth and running a numerical method (i.e. FEM) to calculate the maximum root stress at every iterative step of the optimization procedure, the stress is calculated by interpolation of tabulated values, which were calculated previously for different combinations of the design parameters. Significant stress reduction was achieved in this way as was confirmed experimentally with photoelasticity.

Original languageEnglish
Title of host publicationPower Transmissions - Proceedings of the 4th International Conference
EditorsGeorge Dobre
PublisherSpringer Netherlands
Pages173-181
Number of pages9
ISBN (Print)9789400765573
DOIs
Publication statusPublished - Jan 1 2013
Event4th International Conference on Power Transmissions, PT 2012 - Sinaia, Romania
Duration: Jun 20 2012Jun 23 2012

Publication series

NameMechanisms and Machine Science
Volume13
ISSN (Print)2211-0984
ISSN (Electronic)2211-0992

Other

Other4th International Conference on Power Transmissions, PT 2012
CountryRomania
CitySinaia
Period6/20/126/23/12

Fingerprint

Gears
Gear teeth
Photoelasticity
Cutting tools
Pitting
Numerical methods
Interpolation
Finite element method

Keywords

  • BEM
  • Optimization
  • Photoelasticity
  • Root stress
  • Spur gears

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Spitas, V., & Spitas, C. (2013). Towards optimum involute gear design by combining addendum and thickness modifications. In G. Dobre (Ed.), Power Transmissions - Proceedings of the 4th International Conference (pp. 173-181). (Mechanisms and Machine Science; Vol. 13). Springer Netherlands. https://doi.org/10.1007/978-94-007-6558-0_12

Towards optimum involute gear design by combining addendum and thickness modifications. / Spitas, Vasilios; Spitas, Christos.

Power Transmissions - Proceedings of the 4th International Conference. ed. / George Dobre. Springer Netherlands, 2013. p. 173-181 (Mechanisms and Machine Science; Vol. 13).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Spitas, V & Spitas, C 2013, Towards optimum involute gear design by combining addendum and thickness modifications. in G Dobre (ed.), Power Transmissions - Proceedings of the 4th International Conference. Mechanisms and Machine Science, vol. 13, Springer Netherlands, pp. 173-181, 4th International Conference on Power Transmissions, PT 2012, Sinaia, Romania, 6/20/12. https://doi.org/10.1007/978-94-007-6558-0_12
Spitas V, Spitas C. Towards optimum involute gear design by combining addendum and thickness modifications. In Dobre G, editor, Power Transmissions - Proceedings of the 4th International Conference. Springer Netherlands. 2013. p. 173-181. (Mechanisms and Machine Science). https://doi.org/10.1007/978-94-007-6558-0_12
Spitas, Vasilios ; Spitas, Christos. / Towards optimum involute gear design by combining addendum and thickness modifications. Power Transmissions - Proceedings of the 4th International Conference. editor / George Dobre. Springer Netherlands, 2013. pp. 173-181 (Mechanisms and Machine Science).
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