0
research-article

The Complete Set of 1-DOF Planetary Gear Trains With Up to 9 Links

[+] Author and Article Information
Wenjian Yang

School of Mechanical Engineering and Electronic Information, China University of Geosciences, No. 388 LuMo Road, Hongshan District, 430074 Wuhan, China
ywj19900125@163.com

Huafeng Ding

School of Mechanical Engineering and Electronic Information, China University of Geosciences, No. 388 LuMo Road, Hongshan District, 430074 Wuhan, China
dhf@ysu.edu.cn

1Corresponding author.

ASME doi:10.1115/1.4041482 History: Received May 03, 2018; Revised September 11, 2018

Abstract

The structure synthesis of planetary gear trains (PGT) is helpful for innovating transmission systems in machinery. Many researchers have devoted to the synthesis of 1-degree-of-freedom (DOF) PGTs in the past half century. However, most synthesis methods are limited to PGTs with no more than 8 links. Moreover, the synthesis results are not consistent with each other. Up to now, the controversy in the synthesis results is still not resolved, and the exact synthesis results are still not confirmed. This paper presents a systematic and fully automatic method based on the parent graph to synthesize 1-DOF PGTs. The complete database of rotation graphs (r-graph) and displacement graphs (d-graph) of 1-DOF PGTs with up to 9 links is established for the first time. All possible reasons for the contradictory synthesis results are analyzed, and the controversy in the existing synthesis results which has lasted for nearly half century is completely resolved. The exact results of 6, 7 and 8-link r-graphs are confirmed to be 27, 152 and 1070, respectively. The exact results of 6, 7 and 8-link d-graphs are confirmed to be 81, 647 and 6360, respectively. Besides, the new results of 8654 r-graphs and 71837 d-graphs of 9-link PGTs are provided for the first time.

Copyright (c) 2018 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In