Research Papers

The Analysis of Planetary Gear Trains

[+] Author and Article Information
Madhusudan Raghavan

Propulsion Systems Research Lab, GM R&D Center, Warren, MI 48090-9055

J. Mechanisms Robotics 2(2), 021005 (Apr 19, 2010) (5 pages) doi:10.1115/1.4001092 History: Received December 17, 2008; Revised October 22, 2009; Published April 19, 2010; Online April 19, 2010

The generalized lever is a new tool in gear train representation. It extends the traditional concept of a lever representation of a planetary gear set to 1 that includes negative lever ratios. This allows an exhaustive permutation of the nodes of a lever, thereby leading to all possible topological arrangements of a planetary gear train. Consequently, we achieve a compact representation of large families of planetary gear trains, which would otherwise have to be dealt with on a case-by-case basis.

Copyright © 2010 by American Society of Mechanical Engineers
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Figure 1

Planetary gear trains and graph representation

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Figure 3

Planetary gear sets with two fixed interconnections

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Figure 4

Fixed input and clutched input

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Figure 5

Enumeration of two-planetary gear set systems

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Figure 6

Transformation of levers

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Figure 7

Transformation of graphs

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Figure 8

Planetary gear set equations and corresponding levers

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Figure 9

Two-planetary gear sets with one fixed interconnection

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Figure 10

The generalized lever

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Figure 11

Three-planetary gear set systems

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Figure 12

Topological variants of graph 1 of Fig. 1

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Figure 13

Node labels based on value of ai

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Figure 14

Node labels for negative values of ai



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