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TECHNICAL PAPERS

Effect of Internal Gear Flexibility on the Quasi-Static Behavior of a Planetary Gear Set

[+] Author and Article Information
Ahmet Kahraman

Center for Gear Research The University of Toledo Nitschke Hall 4045, Toledo, OH 43606-3390e-mail: akahrama@eng.utoledo.edu

Sandeep Vijayakar

Advanced Numerical Solutions Inc. 3956 Brown Park Dr. Suite B, Hilliard, OH 43026

J. Mech. Des 123(3), 408-415 (May 01, 2000) (8 pages) doi:10.1115/1.1371477 History: Received May 01, 2000
Copyright © 2001 by ASME
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References

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Hidaka,  T., Terauchi,  Y., and Nagamura,  K., 1979, “Dynamic Behavior of Planetary Gear (7th Report, Influence of the Thickness of the Ring Gear),” Bull. JSME, 22, pp. 1142–1149.
Balasubramanian, B., 1993, “Dynamische Lastferteilung in Planetensatzen,” Ph.D. Dissertation, University of Karlsruhe, Germany.
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Clerici, P., Girotti, A., and Perazzolo, A., 1992, “Comparison of Web Stress Concentration Factors and Safety Margins for a Thin Webbed Spur Gear Subjected to Static and Cyclic Loading Conditions,” DE-Vol. 43-1, ASME International Power Transmission and Gearing Conference, pp. 53–58.
Brazakis, C. A., and Houser, D. R., 1994, “Finite Element and Experimental Analysis of the Effects of Thin-Rimmed Gear Geometry on Spur Gear Fillet Stresses,” International Gearing Conference, Newcastle upon Tyrne, UK, pp. 41-46.
Hidaka,  T., Terauchi,  Y., and Nohara,  M., and Oshita,  J., 1977, “Dynamic Behavior of Planetary Gear (3rd Report, Displacement of Ring Gear in the Direction of Line of Action,” Bull. JSME, 20, pp. 1663–1672.
Chong,  T. H., and Kubo,  A., 1985, “Simple Stress Formulas for a Thin-Rimmed Spur Gear. Part 3: Examination of the Calculation Method and Stress State of Internal Spur Gear Pair,” ASME J. Mech., Transm., Autom. Des., 107, pp. 418–423.
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Vaujany, J. P., Kim, H. C., Guingand, M., and Play, D., 1996, “Effects of Rim and Web on Stresses of Internal Cylindrical Gears,” Proceedings pf the ASME International Power Transmission and Gearing Conference, DE-Vol. 88 , pp. 73–80.
Linke, H. and Jahn, C., 1997, “Bending Load on Internal Gears of Planetary Gear Sets,” AGMA Technical Paper, 97FTM7.
Kahraman, A., 1999, “Static Load Sharing Characteristic of Transmission Planetary Gear Sets: Model and Experiment,” SAE Paper 1999-01-1050.
Krantz, T. L., 1992, “Gear Tooth Stress Measurements of Two Helicopter Planetary Stages,” NASA Technical Memorandum 105651, AVSCOM Technical Report 91-C-038.
Botman,  M., 1980, “Vibration Measurements on Planetary Gears if Aircraft Turbine Engines,” J. Aircr. 17, pp. 351–357.
Valco, M., 1992, “Planetary Gear Train Ring Gear and Support Structure Investigation,” Ph.D. Dissertation, Cleveland State University.
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Figures

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FE model of the example system
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Internal gears of the example system with different Λ
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Comparison of stresses at fixed root locations as a function of Λ; (a) internal gear, (b) planet (c) sun gear
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Comparison of internal gear stresses at different root and fillet locations
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Comparison of internal gear root stresses at (tooth #1) and away from (tooth #5) an outer spline location
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Critical principal stresses as a function of Λ; (a) the internal gear, and (b) planets and the sun gear. The stress values are normalized with respect to the stress values when Λ=∞
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Deflection shapes of internal gears having different Λ. Deflections are exaggerated 25 times.
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Maximum internal gear deflections as a function of Λ
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Load sharing factors of each planet as a function of carrier rotation angle for the case of a 0.05 mm tangential pin position error on planet-1 and non-floating sun gear; (a) Λ=3, and (b) Λ=1
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Maximum principal stress contours and deflection shapes for the same cases as Figure 9
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Influence of Λ on average load sharing factors of each planet for the case of a 0.05 mm tangential pin position error on planet-1 and non-floating sun gear
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Load sharing factors of each planet as a function of carrier rotation angle for the case of a 0.05 mm tangential pin position error on planet-1 and floating sun gear; (a) Λ=3, and (b) Λ=1
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Maximum principal stress contours and deflection shapes for the same cases as Figure 12

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