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Influence of manufacturing errors on the dynamic behavior of planetary gears

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Abstract

Planetary gears are widely used in the transmissions of helicopters, automobiles, aircraft engines, etc. They have substantial advantages such as compactness and a large torque-to-weight ratio. In this work, a plane model of a planetary gear was investigated. The energetic Lagrange formulation was used to recover the equations of motion of the system. A modal analysis was performed, and the influence of gyroscopic effect in particular was scrutinized. The dynamic response was computed by an iterative spectral method. The excitation is induced by time-varying the gearmesh stiffness. The cases of a healthy planetary gear and one with the presence of eccentricity and profile error were compared. The influence on the transmission ratio was also studied.

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References

  1. Cunliffe F, Smith JD, Welbourn DB (1974) Dynamic tooth loads in epicyclic gears. J Eng Ind 94:578–584

    Google Scholar 

  2. Kahraman A (1994) Load sharing characteristics of planetary transmissions. Mech Mach Theory 29:1151–1165

    Article  Google Scholar 

  3. Lin J, Parker RG (1999) Analytical characterization of the unique properties of planetary gear free vibration. J Vib Acoust 121:316–321

    Google Scholar 

  4. Velex P, Flamand L (1996) Dynamic response of planetary trains to mesh parametric excitations. ASME J Mech Des 118:7–14

    Google Scholar 

  5. Saada A, Velex P (1995) An extended model for the analysis of the dynamics of planetary trains. ASME J Mech Des 117:241–247

    Google Scholar 

  6. Fakhfakh T, Chaari F, Haddar M (2003) Etude numérique et expérimentale du comportement dynamique d’une transmission par engrenages en présence de défauts de dentures. In: 16ième Congès Français de mécanique, Nice, 1–5 September 2003

  7. Friswell MI (1996) The derivatives of repeated eigenvalues and their associated eigenvectors. J Vib Acoust 118:390–397

    Google Scholar 

  8. Lin J, Parker RJ (1999) Sensitivity of planetary gear natural frequencies and vibration modes to model parameters. J Sound Vib 228(1):109–128

    Article  Google Scholar 

  9. Perret-Liaudet J (1996) An original method for computing the response of a parametrically excited forced system. J Sound Vib 196:165–177

    Article  MathSciNet  Google Scholar 

  10. Kasuba R, August R (1984) Gear mesh stiffness and load sharing in planetary gearing. In: ASME 4th Power Transmission Conference, Cambridge, MA, ASME Paper 84-DET-229

  11. Hidaka T, Terauchi Y, Dohi K (1979) On the relation between the run-out errors and the motion of the center of sun gear in a Stoeckicht planetary gear. Bull JSME 22(167):748–754

    Google Scholar 

  12. Hidaka T, Terauchi Y, Fujii M (1980) Analysis of dynamic tooth load on planetary gear. Bull JSME 23(176):315–323

    Google Scholar 

  13. Wajag P, Kahraman A (2002) Influence of tooth profile modification on helical gear durability. ASME J Mech Des 124:501–510

    Google Scholar 

  14. Ma P, Botman M (1984) Load sharing in a planetary gear stage in the presence of gear errors and misalignment. J Mech Transm Automat Des 104:1–7

    Google Scholar 

  15. Bodas A, Kahraman A (2001) Influence of carrier and gear manufacturing errors on the static planet load sharing behavior of planetary gear sets. In: Proceedings of the JSME International Conference on Motion and Power Transmissions, Fukuoka, Japan, November 15–17 2001

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Correspondence to Fakher Chaari.

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Chaari, F., Fakhfakh, T., Hbaieb, R. et al. Influence of manufacturing errors on the dynamic behavior of planetary gears. Int J Adv Manuf Technol 27, 738–746 (2006). https://doi.org/10.1007/s00170-004-2240-2

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  • DOI: https://doi.org/10.1007/s00170-004-2240-2

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