RESEARCH PAPERS: Mechanisms Papers

Symbolic Notation and Kinematic Equations of Motion of the Twenty-Two Basic Spur Planetary Gear Trains

[+] Author and Article Information
D. Gibson

Analysis, Dana Corporation, Toledo, Ohio 43606

S. Kramer

Department of Mechanical Engineering, The University of Toledo, Toledo, Ohio 43606

J. Mech., Trans., and Automation 106(3), 333-340 (Sep 01, 1984) (8 pages) doi:10.1115/1.3267416 History: Received June 13, 1984; Online November 19, 2009


This paper introduces a symbolic notation for describing two degree-of-freedom spur planetary gear trains with the configuration of two central gears, one carrier or arm, and at least one planet gear. This simple notation is then used to write the kinematic equation of motion for this type of planetary gear train without the need to develop any intermediate equations. It is also shown that, there are exactly 22 basic spur planetary gear trains with this configuration and not 34 as Levai [1] previously found. These 22 planetary gear trains are illustrated along with their symbolic notation and kinematic equation of motion.

Copyright © 1984 by ASME
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