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Geometry Design and Contact Ratio Analysis for Circular Arc Parallel-Axis Helical Gears

[+] Author Affiliations
Z. Chen, B. Lei, Q. Zhao

China University of Geosciences, Wuhan, China

Paper No. IMECE2016-65820, pp. V011T15A019; 8 pages
  • ASME 2016 International Mechanical Engineering Congress and Exposition
  • Volume 11: Systems, Design, and Complexity
  • Phoenix, Arizona, USA, November 11–17, 2016
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5065-7
  • Copyright © 2016 by ASME


Based on space curve meshing theory, in this paper, we present a novel geometric design of a circular arc helical gear mechanism for parallel transmission with convex-concave circular arc profiles. The parameter equations describing the contact curves for both the driving gear and the driven gear were deduced from the space curve meshing equations, and parameter equations for calculating the convex-concave circular arc profiles were established both for internal meshing and external meshing. Furthermore, a formula for the contact ratio was deduced, and the impact factors influencing the contact ratio are discussed. Using the deduced equations, several numerical examples were considered to validate the contact ratio equation. The circular arc helical gear mechanism investigated in this study showed a high gear transmission performance when considering practical applications, such as a pure rolling process, a high contact ratio, and a large comprehensive strength.

Copyright © 2016 by ASME



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