A Kinematics and Power Flow Analysis Methodology for Automatic Transmission Planetary Gear Trains

[+] Author and Article Information
A. Kahraman, H. Ligata

Department of Mechanical Engineering, The Ohio State University, 206 W. 18th Avenue, Columbus, OH 43210

K. Kienzle, D. M. Zini

General Motors Gear Center, 30240 Oak Creek Drive, Wixom, MI 48393

J. Mech. Des 126(6), 1071-1081 (Feb 14, 2005) (11 pages) doi:10.1115/1.1814388 History: Received April 02, 2003; Revised April 01, 2004; Online February 14, 2005
Copyright © 2004 by ASME
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Tsai, L.-W., Maki, E. R., Liu, T., and Kapil, N. G., 1988, “The Categorization of Planetary Gear Trains for Automatic Transmissions According to Kinematic Topology,” SAE Paper 885062.
Tenberge,  P., 2001, “Automatikgetrieb mit Esprit,” VDI-Ber., 1610, pp. 455–480.
Hsieh,  H.-I., and Tsai,  L.-W., 1996, “Kinematic Analysis of Epicyclic-Type Transmission Mechanisms Using the Concept of Fundamental Kinematic Entities,” ASME J. Mech. Des., 118, pp. 294–299.
Liu,  C.-P., and Chen,  D.-Z., 2001, “On the Application of Kinematic Units to the Topological Analysis of Geared Mechanisms,” ASME J. Mech. Des., 123, pp. 240–246.
Olson,  D. G., Erdman,  A. G., and Riley,  D. R., 1991, “Topological Analysis of Single-Degree-of-Freedom Planetary Gear Trains,” ASME J. Mech. Des., 113, pp. 10–16.
Hsu,  C.-H., and Wu,  Y.-C., 1997, “Automatic Detection of Embedded Structure in Planetary Gear Trains,” ASME J. Mech. Des., 119, pp. 315–318.
Freudenstein,  F., 1972, “Kinematics and Statics of a Coupled Epicyclic Spur Gear Train,” Mech. Mach. Theory, 7, pp. 263–275.
Benford, H. L., and Leising, M. B., 1981, “The Lever Analogy: A New Tool in Transmission Analysis,” SAE Paper 810102.
Ross, C. S., and Route, W. D., 1991, “A Method for Selecting Parallel Connected Planetary Gear Trains for Automotive Automatic Transmissions,” SAE Paper 911941.
Pennestri,  E., and Freudenstein,  F., 1993, “A Systematic Approach to Power Flow and Static-Force Analysis in Epicyclic Spur-Gear Trains,” ASME J. Mech. Des., 115, pp. 639–644.
Pennestri,  E., and Freudenstein,  F., 1993, “The Mechanical Efficiency of Epicyclic Gear Trains,” ASME J. Mech. Des., 115, pp. 645–651.
Hsieh,  H.-I., and Tsai,  L.-W., 1998, “The Selection of a Most Efficient Clutching Sequence Associated With Automatic Transmission Mechanisms,” ASME J. Mech. Des., 120, pp. 514–519.
del Castillo,  J. M., 2002, “The Analytical Expression of the Efficiency of Planetary Gear Trains,” Mech. Mach. Theory, 37, pp. 197–214.
Willis,  R. J., 1982, “On the Kinematics of the Closed Epicyclic Differential Gears,” ASME J. Mech. Des., 104, pp. 712–723.
Muller, W. H., 1982, Epicyclic Drive Trains, Wayne State University Press, Detroit.
Kahraman,  A., 2001, “Free Torsional Vibration Characteristics of Compound Gear Sets,” Mech. Mach. Theory, 36, pp. 953–971.


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(a) A single-planet planetary gear set, and (b) a double-planet planetary gear set
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Fundamental kinematic units in (a) an external mesh, (b) an internal mesh, and (c) a planet-to-planet mesh
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(a) A compound gear set and (b) a complex-compound (Ravigneaux) gear set
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Flow chart of search for kinematic configurations
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Free body diagram of the gears forming a single-planet gear set. Only one of the branches is shown for clarity purposes
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Free body diagram of the gears forming a double-planet gear set. Only one of the branches is shown for clarity purposes.
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Two different positions for planet 2; (a) position A, (b) position B
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(a) Planetary gear set hardware used in the example case, (b) concept design 6 in Table 1
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(a) A single engage/disengage gear shift and (b) a double engage/disengage gear shift




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