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Design of Planetary Drives for Maximum Reduction Ratio by Use of Non-Standard Involute Gears

[+] Author Affiliations
Jie Tan

The Boeing Company, Mesa, AZ

Paper No. DETC2007-35714, pp. 357-366; 10 pages
  • ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 7: 10th International Power Transmission and Gearing Conference
  • Las Vegas, Nevada, USA, September 4–7, 2007
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4808-6 | eISBN: 0-7918-3806-4
  • Copyright © 2007 by The Boeing Company


Planetary drives offer high torque capacity and large reduction ratio within envelope constraints. This paper attempts to maximize the reduction ratio by applying non-standard (modified) involute gears. Two issues encountered in the effort are addressed: i) The reduction ratio is limited by outer diameter interference of the planets, and ii) commonly used non-standard gear calculation methods add significant complexity to the problem because of the center distance and the gear outer diameter being complex non-linear functions of the modification coefficient. A new gear modification coefficient is first defined which relates to the mid-working depth radius, tip circle radius and center distance in simple linear functions. Using the proposed method to greatly simplify conditions of center distance compatibility and outer diameter interference, the limit on reduction ratio is then derived and expressed in explicit relation to the modification coefficients, thus pointing out directions for maximizing the reduction ratio.

Copyright © 2007 by The Boeing Company
Topics: Design , Gears



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