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Article

Simplified Kinematic Analysis of Bevel Epicyclic Gear Trains With Application to Power-Flow and Efficiency Analyses

[+] Author and Article Information
Carl A. Nelson, Raymond J. Cipra

School of Mechanical Engineering, Purdue University, 585 Purdue Mall, West Lafayette, IN 47907-2088

J. Mech. Des 127(2), 278-286 (Mar 25, 2005) (9 pages) doi:10.1115/1.1814392 History: Received April 09, 2003; Revised April 06, 2004; Online March 25, 2005
Copyright © 2005 by ASME
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References

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Nelson, C. A., and Cipra, R. J., 2002, “An Integrated Method of Kinematic, Force, Power Flow, and Efficiency Analyses for 3-D Epicyclic Gear Trains,” 27th Biennial ASME Mechanisms and Robotics Conference, ASME, New York, ASME Paper No. DETC2002/MECH-34315.
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Figures

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Example of an epicyclic gear train and its associated graph representation
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Typical adjacency matrix
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Fundamental circuit with the principal directions shown
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Simple bevel planet with its inclination angle βp
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Steps in formulating the processing matrices for kinematic analysis
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Humpage reduction gear and its graphical representation
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Bevel planet meshing with sun; applied and reaction torques
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Planetary train for comparison with other efficiency analysis results

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