Graph theory has been demonstrated by many researchers to be useful during the conceptual phase of mechanism design. For the particular class of 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 ground, input, and output links, have received very little attention in the literature, perhaps because the conventional graph representation for topological analysis, and utilizes a new graph representation which enables these steps to be performed in a straightforward 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.
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March 1991
Research Papers
Topological Analysis of Single-Degree-of-Freedom Planetary Gear Trains
D. G. Olson,
D. G. Olson
Department of Mechanical Engineering and Applied Mechanics, University of Rhode Island, Kingston, RI 02881
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A. G. Erdman,
A. G. Erdman
Productivity Center, Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN 55455
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D. R. Riley
D. R. Riley
Productivity Center, Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN 55455
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D. G. Olson
Department of Mechanical Engineering and Applied Mechanics, University of Rhode Island, Kingston, RI 02881
A. G. Erdman
Productivity Center, Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN 55455
D. R. Riley
Productivity Center, Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN 55455
J. Mech. Des. Mar 1991, 113(1): 10-16 (7 pages)
Published Online: March 1, 1991
Article history
Received:
March 1, 1988
Online:
June 2, 2008
Connected Content
A companion article has been published:
Simulating Boundary Layer Transition With Low-Reynolds-Number k–ε Turbulence Models: Part 2—An Approach to Improving the Predictions
Citation
Olson, D. G., Erdman, A. G., and Riley, D. R. (March 1, 1991). "Topological Analysis of Single-Degree-of-Freedom Planetary Gear Trains." ASME. J. Mech. Des. March 1991; 113(1): 10–16. https://doi.org/10.1115/1.2912743
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