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TECHNICAL PAPERS

A Review of Formulas for the Mechanical Efficiency Analysis of Two Degrees-of-Freedom Epicyclic Gear Trains

[+] Author and Article Information
Ettore Pennestrı̀, Pier Paolo Valentini

Dipartimento di Ingegneria Meccanica, Università degli Studi di Roma Tor Vergata, 0133 Roma-Italy

J. Mech. Des 125(3), 602-608 (Sep 04, 2003) (7 pages) doi:10.1115/1.1587157 History: Received September 01, 2001; Online September 04, 2003
Copyright © 2003 by ASME
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References

Radzimovsky,  E. I., 1959, “How to Find Efficiency, Speed and Power in Planetary Gear Drives,” Machine Design, June 11, pp. 144–153.
Pennestrı̀, E., 1991, “On the Automatic Design Analysis of Gear Trains,” Doctoral Dissertation, Columbia University, Available from U.M.I., Order n.9127952.
Pennestrı̀,  E., and Freudenstein,  F., 1993, “The Mechanical Efficiency of Epicyclic Gear Trains,” ASME J. Mech. Des., 115, pp. 645–651.
Hsieh,  H. L., and Tsai,  L. W., 1998, “The Selection of a Most Efficient Clutching Sequence Associated with Automatic Transmissions,” ASME J. Mech. Des., 120, pp. 514–519.
Hedman, A., 1988, Mechanical Transmission Systems—A General Computer-based Method of Analysis, Chalmers University of Technology, Division of Machine Elements, Göteborg.
del Castillo,  J. M., 2002, “The Analytical Expression of the Efficiency of Planetary Gear Trains,” Mech. Mach. Theory, 37, pp. 197–214.
Ciceroni, N., 1989, A Systematic Procedure for Mechanical Efficiency Analysis of Epicyclic Gear Trains (in Italian), Tesi di Laurea, Università degli Studi di Roma Tor Vergata, Academic Year 1998–1999.
Mantriota,  G., and Pennestrı̀,  E., 2001, “Theoretical and Experimental Efficiency Analysis of Multi Degrees-of-Freedom Epicyclic Gear Trains,” Multibody Syst. Dyn., 7, pp. 389–406.
Looman, J., 1970, Zahnradgetriebe, Springer Verlag, New York.
Strauch, H., 1970, Theorie und Praxis der Planetengetriebe, Krauskopf-Verlag.
Kausba,  R., and Radzimovsky,  E. I., 1973, “A Multi-Purpose Planetary Gear Testing Machine for Studies of Gear Drive Dynamics, Efficiency, and Lubrication,” ASME J. Eng. Ind., pp. 1123–1130.
Merritt, H. E., 1947, Gears, Sir I. Pitman & Sons, London.
Macmillan,  R. H., 1949, “Epicyclic Gear Efficiencies,” The Engineer, Dec. 23, pp. 727–728.
Macmillan,  R. H., 1961, “Power Flow and Loss in Differential Mechanisms,” J. Mech. Eng. Sci., 3(1), pp. 37–41.
Maggiore, A., 1971, “The Efficiency of Epicyclic Two d.o.f. Gear Trains (in Italian),” Atti I Congresso Nazionale di Meccanica Teorica ed Applicata, Udine, Vol. III, pp. 65–85.
Monastero, R., 1976, “The Efficiency of Series Connected Epicyclic Gear Trains,” (in Italian), Rivista Associazione Tecnica dell’Automobile (ATA), Torino, Italy, Luglio-Agosto.
Lucas, G. G., 1984, “Expressions Governing the Power Flow Through Differential Mechanisms Having Imperfect Efficiencies,” Proc. Inst. Mech. Eng., C12/84 Driveline 84.
Lucas, G. G., 1986, Road Vehicle Performance, Gordon and Breach Science Publishers, Transportation Studies Vol. 7, pp. 166–172.
Henriot, G., 1979, Traité Théorique et Pratique Des Engranages, 6th ed., Bordas, Paris (see pp. 609–612 of the Italian translation published by Tecniche Nuove).

Figures

Grahic Jump Location
An example of basic 2 d.o.f. EGT with block representation of the power flow
Grahic Jump Location
Power flow in a two d.o.f. machine unit
Grahic Jump Location
Nomenclature used by Strauch 10
Grahic Jump Location
Nomenclature used by Maggiore 15
Grahic Jump Location
Scheme of a differential gear train: Nomenclature.

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