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TECHNICAL PAPERS

Design of One Stage Planetary Gear Train With Improved Conditions of Load Distribution and Reduced Transmission Errors

[+] Author and Article Information
F. L. Litvin, D. Vecchiato, A. Demenego

Gear Research Center, University of Illinois at Chicago, Chicago, IL 60607

E. Karedes, B. Hansen

Sikorsky Aircraft Co., 6900 Main St., Stratford, CT 06615

R. Handschuh

NASA Glenn Research Center and Army Research Laboratory, 21000 Brookpark Rd., Cleveland, OH 44135

J. Mech. Des 124(4), 745-752 (Nov 26, 2002) (8 pages) doi:10.1115/1.1515797 History: Received March 01, 2001; Online November 26, 2002
Copyright © 2002 by ASME
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References

Chatterjee,  G., and Tsai,  L.-W., 1996, “Computer-Aided Sketching of Epicyclic-Type Automatic Transmission Gear Trains,” ASME J. Mech. Des., 118, pp. 405–411.
Chen, J.-L., and Tseng, C.-H., 2000,“ Design Considerations for Assemble in Planetary Gear Trains,” Proceedings of the International Conference on Gearing, Transmissions, and Mechanical Systems, Notingham Trent University UK, 157–166.
Hori, K., and Hayashi, I., 1996,“Optimization of the Profile-Shift Coefficients of Conventional Mechanical Paradox Planetary Gear Drives to Obtain the Maximum Efficiency,” DE-Vol.88, ASME Power Transmission and Gearing Conference.
Hori, K., and Hayashi, I., 1996, “Improvement of Efficiency of 3K-Type Mechanical Paradox Planetary Gear Drive by Equalizing Approach and Recess-Contact Ratios,” DE-Vol.88, ASME Power Transmission and Gearing Conference.
Ishida, T., and Hidaka, T., 1992, “Effects of Assemble and Manufacturing Errors on Transmission Error of Planetary Gears,” DE-Vol. 43-1, Proceeding of the 1992 International Power Transmission and Gearing Conference, pp. 375–381.
Kahraman,  A., and Vijajakar,  S., 2001, “Effect of Internal Gear Flexibility on the Quasi-Static Behavior of a Planetary Gear Set,” ASME J. Mech. Des., 123, pp. 408–415.
Kahraman,  A., 1994, “Load Sharing Characteristics of Planetary Transmissions,” Mech. Mach. Theory, 129(8), pp. 1151–1165.
Kudrjavtzev, V. N., et al., 1993, “Computation and Design of Gear Reducers, Politechnika, S. Peterburg.
Lin,  J., and Parker,  R. G., 1999, “Analytical Characterization of the Unique Properties of Planetary Gear Free Vibration,” ASME J. Vibr. Acoust., 121, pp. 316–321.
Lynwander, P., 1983, Gear Drive System-Design and Applications, Marcel Dekker Inc.
Saada,  A., and Velex,  P., 1995, “An Extended Model for the Analysis of the Dynamic Behavior of Planetary Trains,” ASME J. Mech. Des., 117, pp. 241–247.
Velex,  P., and Flamand,  L., 1996, “Dynamic Response of Planetary Trains to Mech Parametric Excitations,” ASME J. Mech. Des., 118, pp. 7–14.
Patent Number 6,205,879. March 27, 2001, Helical and Spur Gear Drive with Double-Crowned Pinion Tooth Surfaces and Conjugated Gear Tooth Surfaces, by Litvin F. L. et al..
Litvin, F. L., 1994, Gear Geometry and Applied Theory, Prentice Hall.
More, J. J., Gorbov, B. S., and Hilstrom, K. E., 1980, User Guide for MINPACK-1, Argonne National Laboratory. Argonne, IL.
Korn, G. A., and Korn, T. M., 1968, Mathematical Handbook for Scientists Engineers, 2nd ed., McGrawHill, NY.

Figures

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Schematic of planetary gear train
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Installation of planetary gear 2(1)
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Illustration of orientation of tooth (spaces) of axes of symmetry of gears 2,3(2),3 with respect the center distance O3O2(2)
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For derivation of phase angle Δ1(k)
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Illustration of generation of profile crowned planetary gear: (a) parabolic profile of applied rack-cutter; (b) schematic of generation
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Illustration of longitudinal crowning in planetary gear
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Illustration of double crowned spur gear
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Illustration of regulation of backlash: (a) backlash between gears 1, 3 and 2 before regulation; (b) elimination of backlash by axial displacement Δz(i)
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Functions of transmission errors of sub-trains (1,2(1),3) and (1,2(2),3)
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Illustration of relations between functions Δϕ3(1)1) and Δϕ3(k)1)
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Functions of transmission errors Δϕ3(i)1) caused by double-crowning and errors of location of planetary gears
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Illustration of functions of transmission errors for sub-drives and integrated function

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