Title: Graph notation and kinematic equations of motion of planetary differential gear trains

Authors: C.-H. Hsu

Addresses: Associate Professor, Depanment of Mechanical Engineering, National Sun Yai-Sen University, Kaahsiung, Taiwan 80424, Republic of China

Abstract: This paper introduces a graph notation for representing the kinematic structure of simple and compound planetary gear trains efficiently. This simple notation is then used to derive the kinematic equation of motion for planetary differential gear trains without the need to develop any intermediate equations. The absolute rotational speeds for simple and compound planetary differential spur, helical, and bevel gear trains can be easily determined. This equation can be applied to any types of planetary differential gear trains with any number of links by only knowing the gear ratios of all mating gears.

Keywords: gear ratios; graph notation; fundamental circuit; planetary gear trains; differential gear trains; rotational speed; kinematic equations of motion; helical gears; spur gears; bevel gears.

DOI: 10.1504/IJVD.1992.061725

International Journal of Vehicle Design, 1992 Vol.13 No.3, pp.233 - 241

Published online: 27 May 2014 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article