Advertisement

Journal of Central South University

, Volume 22, Issue 10, pp 3806–3816 | Cite as

Dynamic load sharing characteristics and sun gear radial orbits of double-row planetary gear train

  • Dong-ping Sheng (盛冬平)
  • Ru-peng Zhu (朱如鹏)
  • Guang-hu Jin (靳广虎)
  • Feng-xia Lu (陆凤霞)
  • He-yun Bao (鲍和云)
Article

Abstract

A new non-linear bending-torsional coupled model for double-row planetary gear set was proposed, and planet’s eccentricity error, static transmission error, and time-varying meshing stiffness were taken into consideration. The solution of differential governing equation of motion is determined by applying the Fourier series method. The behaviors of dynamic load sharing characteristics affected by the system parameters including gear eccentricities error, ring gear’s supporting stiffness, planet’s bearing stiffness, torsional stiffness of first stage carrier and input rotation rate were investigated qualitatively and systematically, and sun gear radial orbits at first and second stage were explored as well. Some theoretical results are summarized as guidelines for further research and design of double-row planetary gear train at last.

Keywords

double-row planetary gear load sharing time-varying stiffness torsional stiffness sun gear radial orbit 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    SEAGER D L. Load sharing among planet gears [C]// SAE Paper. 1970, No.700178.Google Scholar
  2. [2]
    FANG Zong-de, SHEN Yun-wen, HUANG Zhen-dong. Analysis of dynamic behavior of 2K-H planetary gearing [J]. Journal of Northwestern Polytechnical University, 1990, 8(4): 361–371. (in Chinese)Google Scholar
  3. [3]
    XIAO Tie-ying, YUAN Sheng-zhi, LU Wei-jie. Calculative method of load balance coefficient in planetary gear [J]. Journal of Northeast Heavy Machinery Institute, 1992, 16(4): 290–295. (in Chinese)Google Scholar
  4. [4]
    KAHRAMAN A. Load sharing characteristics of planetary transmission [J]. Mech Mach Theory, 1994, 29: 1151–1165.CrossRefGoogle Scholar
  5. [5]
    KAHRAMAN A. Static load sharing characteristics of transmission planetary gear sets: Model and experiment [J]. SAE Trans, 1999, 108(6): 1954–1963.Google Scholar
  6. [6]
    YUAN Ru, WANG San-min, SHEN Yun-wen. Dynamic optimum design of power shared out equally among the planetary gears [J]. Journal of Aerospace Power, 2000, 15(4): 410–412. (in Chinese)Google Scholar
  7. [7]
    BODAS A, KAHRAMAN A. Influence of carrier and gear manufacturing errors on the static planet load sharing behavior of planetary gear sets [J]. JSME Int J Ser C, 2004, 47(3): 908–915.CrossRefGoogle Scholar
  8. [8]
    SINGH A, KAHRAMAN A, LIGATA H. Internal gear strains and load sharing in planeteary transmissions: Model and experiments [C]// Proceedings of ASME. Las Vegas, USA: American Society of Mechanical Engineers, 2007: 917–928.Google Scholar
  9. [9]
    LIGATA H, KAHRAMAN A, SING A. An experimental study of the influence of manufacturing errors on planetary gear stresses and planet load sharing [J]. ASME J Mech Des, 2008, 130: 041701.CrossRefGoogle Scholar
  10. [10]
    LIGATA H, KAHRAMAN A, SINGH A. A closed-form planet load sharing formulation for planetary gear sets using a translational analogy [J]. ASME J Mech Des, 2009, 131: 021007.CrossRefGoogle Scholar
  11. [11]
    SINGH A. Load sharing behavior in epicyclic gears: Physical explanation and generalized formulation [J]. Mech Mach Theory, 2010, 45: 511–530.MATHCrossRefGoogle Scholar
  12. [12]
    LU Jun-hua, ZHU Ru-peng, JIN Guang-hu. Analysis of dynamic load sharing behavior in planetary gearing [J]. Journal of Mechanical Engineering, 2009, 45(5): 85–90. (in Chinese)CrossRefGoogle Scholar
  13. [13]
    GU X, VELEX P. A lumped parameter model to analyze the dynamic load sharing in planetary gears with planet errors [J]. Appl Mech Mater, 2011, 86: 374–379.CrossRefGoogle Scholar
  14. [14]
    MONTESTRUC A N. Influence of planet pin stiffness on load sharing in planetary gear trains [J]. ASME J Mech Des, 2011, 133: 014501.CrossRefGoogle Scholar
  15. [15]
    YE Fu-min, ZHU Ru-peng, BAO He-yun. Static load sharing behavior in NGW planetary gear train with unequal modulus and pressure angles [J]. Journal of Central South University: Science and Technology, 2011, 42(7): 1960–1966. (in Chinese)Google Scholar
  16. [16]
    LI Tong-jie, ZHU Ru-peng, BAO He-yun. Study on dynamic load sharing behavior of two-stage planetary gear train based on a nonlinear vibration model [J]. Applied Mechanics and Materials, 2011, 86: 611–614.CrossRefGoogle Scholar
  17. [17]
    BOGUSKI B, KAHRAMAN A, NISHINO T A. New method to measure planet load sharing and sun gear radial orbit of planetary gear sets [J]. ASME J Mech Des, 2012, 134: 071002.CrossRefGoogle Scholar
  18. [18]
    HICKS R J. Load equalizing means for planetary pinions: US Patent 3303713 [P]. 1967.Google Scholar
  19. [19]
    FOX G P, JALLAT E. Epicyclic gear system: US Patent 6994651 [P]. 2006.Google Scholar
  20. [20]
    FOX G P, JALLAT E. Use of the integrated flexpin bearing for improvement of the performance of epicyclical gear systems [C]// 9th International Power Transmission and Gearing Conference. Chicago, Illinois, USA, 2003: 1003–1011.CrossRefGoogle Scholar
  21. [21]
    MONTESTRUC A N. A numerical approach to calculation of load sharing in planetary gear drives [J]. ASME J Mech Des, 2010, 132: 014503.CrossRefGoogle Scholar
  22. [22]
    HOUSER D R. Gear noise state of the art [J]. Proceedings of Inter-Noise, 1988, 88: 601–606.Google Scholar
  23. [23]
    KAHRAMAN A, SINGH A. Non-linear dynamics of a spur gear pair [J]. Journal of Sound and Vibration, 2009, 142(1): 49–75.CrossRefGoogle Scholar
  24. [24]
    SUN Zhi-min, SHEN Yun-wen, LI Su-you. Study on dynamic behavior of encased differential gear train [J]. Chinse Journal of Mechanical Engineering, 2002, 38(2): 44–48. (in Chinese)CrossRefGoogle Scholar
  25. [25]
    BAO He-yun, ZHU Ru-peng. Floating displacement static analysis of basic floating part of 2-stages star gear train [J]. Journal of Central South University: Science and Technology, 2006, 37(3): 553–557. (in Chinese)MathSciNetGoogle Scholar
  26. [26]
    LU Jun-hua, ZHU Ru-peng, JIN Guang-hu. Basic components’ offset analysis of planetary gearing in need of loading sharing [J]. Journal of Central South University: Science and Technology, 2008, 39(1): 143–148. (in Chinese)Google Scholar
  27. [27]
    KASUBA R, EVANS J W. An extended model for determing dynamic loads in spur gearing [J]. ASME Mech Des, 1981, 103(2): 398–409.CrossRefGoogle Scholar
  28. [28]
    WANG K L, CHENG H S. A numerical solution to the dynamic load [J]. ASME Mech Des, 1981, 103(1): 177–187.CrossRefGoogle Scholar

Copyright information

© Central South University Press and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Dong-ping Sheng (盛冬平)
    • 1
  • Ru-peng Zhu (朱如鹏)
    • 1
  • Guang-hu Jin (靳广虎)
    • 1
  • Feng-xia Lu (陆凤霞)
    • 1
  • He-yun Bao (鲍和云)
    • 1
  1. 1.College of Mechanical and Electrical EngineeringNanjing University of Aeronautics and AstronauticsNanjingChina

Personalised recommendations