Topological analysis of single-degree-of-freedom planetary gear trains

D. G. Olson, A. G. Erdman, D. R. Riley

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Scopus citations

Abstract

Graph theory has been demonstrated by many researchers to be useful during the conceptual phase of mechanism design. For mechanisms known as planetary gear trains, the graph representation has been used primarily for 'topological synthesis,' the enumeration of kinematic chains satisfying the requirements for planetary gear trains. The subsequent 'topological analysis' steps resulting in the specification of the ground, input, and output links, have received little attention in the literature. This paper addresses the inadequacies of the conventional representation for topological analysis, and utilizes a new graph representation to enable these steps to be performed in a straight-forward manner. It is shown that among the thirteen distinct displacement graphs representing planetary geared kinematic chains with five links and one degree-of-freedom, only four distinct planetary gear trains result after assigning the ground, input, and output links subject to meaningful topological requirements.

Original languageEnglish (US)
Title of host publicationAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
PublisherPubl by American Soc of Mechanical Engineers (ASME)
Pages125-131
Number of pages7
Volume15-1
EditionPT1
StatePublished - Dec 1 1988
EventTrends and Developments in Mechanisms, Machines, and Robotics - 1988 - Kissimmee, FL, USA
Duration: Sep 25 1988Sep 28 1988

Other

OtherTrends and Developments in Mechanisms, Machines, and Robotics - 1988
CityKissimmee, FL, USA
Period9/25/889/28/88

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    Olson, D. G., Erdman, A. G., & Riley, D. R. (1988). Topological analysis of single-degree-of-freedom planetary gear trains. In American Society of Mechanical Engineers, Design Engineering Division (Publication) DE (PT1 ed., Vol. 15-1, pp. 125-131). Publ by American Soc of Mechanical Engineers (ASME).