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TECHNICAL PAPERS

Selection and Design of Planetary Gear Trains Based on Power Flow Maps

[+] Author and Article Information
David R. Salgado

Department of Electronics and Electromechanical Engineering, University of Extremadura, Sta. Teresa de Jornet 38, 06800 Mérida, Spain

J. M. Del Castillo

University of Extremadura, Badajoz, Spain

J. Mech. Des 127(1), 120-134 (Mar 02, 2005) (15 pages) doi:10.1115/1.1828458 History: Received February 23, 2004; Revised May 06, 2004; Online March 02, 2005
Copyright © 2005 by ASME
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References

Macmillan,  R. H., 1961, “Power Flow and Loss in Differential Mechanisms,” J. Mech. Eng. Sci., 3, pp. 37–41.
Radzimovsky,  E. I., 1956, “A Simplified Approach for Determining Power Losses and Efficiencies of Planetary Gear Drives,” Mach. Des., 9, pp. 101–110.
Pennestri,  E., and Freudenstein,  F., 1993, “The Mechanical Efficiency of Planetary Gear Trains,” ASME J. Mech. Des., 115, pp. 645–651.
Pennestri,  E., and Valentini,  P. P., 2003, “A Review of Formulas for the Mechanical Efficiency Analysis of Two Degrees-of-Freedom Epicyclic Gear Trains,” ASME J. Mech. Des., 125, pp. 602–608.
Mathis,  R., and Remond,  Y., 1999, “A New Approach to Solving the Inverse Problem for Compound Gear Trains,” ASME J. Mech. Des., 121, pp. 98–106.
Del Castillo, J. M., 2000, “Symbolic Computation of Planetary Gear Train Efficiency,” European Congress on Computational Methods in Applied Sciences and Engineering CIMNE, Barcelona.
Tian,  L., and Qiao,  L., 1997, “Matrix System for the Analysis of Planetary Transmissions,” ASME J. Mech. Des., 119, pp. 333–337.
Del Castillo,  J. M., 2002, “Enumeration of 1-DOF Planetary Gear Trains Graphs Based on Functional Constraints,” ASME J. Mech. Des., 124, pp. 723–732.
Del Castillo,  J. M., 2002, “The Analytical Expression of the Efficiency of Planetary Gear Trains,” Mech. Mach. Theory, 37, pp. 197–214.
Del Castillo,  J. M., 2000, “Restricciones Funcionales en Trenes de Engranajes Planetarios: Enumeracion Sistematica,” Revista Iberoamericana de Ingenieria Mecanica,4, pp. 3–15.
Freudenstein,  F., 1971, “An Application of Boolean Algebra to the Motion of Epicyclic Drives,” ASME J. Eng. Ind., 93, pp. 176–182.
Freudenstein,  F., and Yang,  A. T., 1972, “Kinematics and Statics of Coupled Epicyclic Drives,” Mech. Mach. Theory, 7, pp. 263–275.
Muller, W. H., 1982, Epicyclic Drive Trains, Wayne State University Press, Detroit.
AGMA, 1988, “Design Manual for Enclosed Epicyclic Metric Module Gear Drives,” AGMA 6123–A88.
White,  G., 1993, “Epicyclic Gears From Early Hoists and Winches II,” Mech. Mach. Theory, 29, pp. 309–325.
White,  G., 2003, “Derivation of High Efficiency Two-Stage Epicyclic Gears,” Mech. Mach. Theory, 38, pp. 149–159.

Figures

Grahic Jump Location
Different constructional solutions for the same six-member train
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Graphs of the PGTs of four, five and six members
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Power flow maps of all six-member PGTs
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Curves resulting from making the gearing power sum constant for (a) five-member and (b) six-member PGTs
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Analysis of power flow maps
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External sun-planet tangency
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The Znlm plane (a), and (b) the independent sensitivities plane of 6221(1,2-4)
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Examples of power flow maps
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Constructional solution II of PGT 6221(1,2-4) with simple planets

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