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RESEARCH PAPERS

Conditions for Self-Locking in Planetary Gear Trains

[+] Author and Article Information
David R. Salgado1

Department of Electronics and Electromechanical Engineering, University of Extremadura, Sta. Teresa de Jornet 38, 06800 Mérida, Spaindrs@unex.es

J. M. del Castillo

Department of Electronics and Electromechanical Engineering,  University of Extremadura, Avda. Elvas sn, 06071 Badajoz, Spaindelcasti@unex.es

1

Corresponding author.

J. Mech. Des 129(9), 960-968 (Sep 07, 2006) (9 pages) doi:10.1115/1.2748449 History: Received February 21, 2006; Revised September 07, 2006

The objective of the present work is to determine the conditions that have to be satisfied for a planetary gear train of one degree of freedom to be self-locking. All planetary gear trains of up to six members are considered. As a result, we show the constructional solutions of planetary gear trains exhibiting self-locking. Unlike other studies, the self-locking conditions are obtained systematically from the analytical expression for the product of the efficiency of a given train by the efficiency of the train resulting from interchanging its input and output axes. Finally, a proof is given of an approximate relationship between these two efficiencies.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

Two different constructional solutions of the same PGT (a) and (b), and (c) the graph representation of their corresponding GKC

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Figure 2

Graphs and inversions of the PGTs of four, five, and six members

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Figure 3

Constructional solutions of the four-member PGT that self-locks

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Figure 4

Constructional solutions of the five-member PGT that self-locks

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Figure 5

Constructional solutions of the self-locking PGT 6320(1,2−3)

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