Backlash effect on dynamic analysis of a two-stage spur gear system

  • L. Walha
  • T. Fakhfakh
  • M. Haddar
Peer Reviewed Articles

Abstract

Gearbox dynamics are characterized by a periodically changing stiffness due to multiple teeth contacts. In real gear systems, a backlash also exists that can lead to a loss in contact between the teeth. Due to this loss of contact, the gear has piecewise linear stiffness characteristics. This paper examines the effect of backlash in the two-stage gear system. A purely torsional gear system is formed by three shafts connected to each other by two spur gear pairs. Using standard methods for nonlinear systems (Newton-Raphson algorithm), the dynamic behavior of a gear system with backlash is examined. Amplitude jumps in systems due to backlash are observed.

Keywords

backlash gearmesh stiffness fluctuation two-stage gear system 

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References

  1. 1.
    A. Kahraman and G.W. Blankenship: “Experiments on Non-Linear Dynamic Behaviour of an Oscillator with Clearance and Periodically Time-Varying Parameters,” J. Appl. Mech. (Trans. ASME), 2001, 64, pp. 217–26.Google Scholar
  2. 2.
    R.J. Comparin and R. Singh: “Frequency Response of a Multi-Degree of Freedom System with Clearances,” J. Sound Vib., 1990, 142(1), pp. 101–24.CrossRefGoogle Scholar
  3. 3.
    T.C. Kim, T.E. Rook, and R. Singh: “Effect of Smothering Functions on the Frequency Response of an Oscillator with Clearance Non-Linearity,” J. Sound Vib., 2003, 263, pp. 665–78.CrossRefGoogle Scholar
  4. 4.
    A. Kahraman and R. Singh: “Non-Linear Dynamics of a Spur Gear Pair,” J. Sound Vib., 1990, 142, pp. 49–75.CrossRefGoogle Scholar
  5. 5.
    A. Kahraman and R. Singh: “Interactions Between Time-Varying Mesh Stiffness and Clearance Non-Linearities in a Geared System,” J. Sound Vib., 1991, 146, pp. 135–56.CrossRefGoogle Scholar
  6. 6.
    A. Kahraman and A. Al-Shyyab: “Non-Linear Dynamic Analysis of a Multi Mesh Gear Train Using Multi-Term Harmonic Balance Method: Subharmonic Motions,” J. Sound Vib., 2005, 279(1), pp. 417–51.CrossRefGoogle Scholar
  7. 7.
    M. Vaishya and R. Singh: “Analysis of Periodically Varying Gear Mesh Systems with Coulomb Friction Using Floquet Theory,” J. Sound Vib., 2001, 243, pp. 525–45.CrossRefGoogle Scholar
  8. 8.
    R.J. Comparin and R. Singh: “Non-Linear Frequency Response Characteristics of an Impact Pair,” J. Sound Vib., 1989, 134(1), pp. 259–90.CrossRefGoogle Scholar
  9. 9.
    E. Rigaud: “Dynamics Interactions Between Teeth, Shafts, Bearings, and Housing in the Gear Transmissions,” Thesis from ECLyon, No. 9818, 1998.Google Scholar
  10. 10.
    G. Litak and M. Friswell: “Vibrations in Gear Systems,” Chaos, Solit., Fractals, 2003, 16(1), pp. 145–50.Google Scholar
  11. 11.
    A. Saada and P. Velex: “An Extended Model for the Analysis of the Dynamic Behaviour of Planetary Trains,” Proceedings of Sixth International Power Transmission and Gearing Conference, American Society of Mechanical Engineers, 1995, pp. 402–19.Google Scholar
  12. 12.
    G.R. Parker and J. Lin: “Mesh Stiffness Variation Instabilities in Two-Stage Gear Systems,” J. Vib. Acoust., 2002, 124, pp. 68–76.CrossRefGoogle Scholar
  13. 13.
    H. Vinayak, R. Singh, and C. Padmanabhan: “Linear Dynamic Analysis of Multi-Mesh Transmissions Containing External, Rigid Gears,” J. Sound Vib., 1995, 185(1), pp. 1–32.CrossRefGoogle Scholar
  14. 14.
    M.G. Donley and G.C. Steyer: “Dynamic Analysis of Planetary Gear System,” Proceedings of Sixth International Power Transmission and Gearing Conference, American Society of Mechanical Engineers, 1995.Google Scholar
  15. 15.
    R. Kasuba and R. August: “Gear Mesh Stiffness and Load Sharing in Planetary Gearing,” Paper 73, American Society of Mechanical Engineers, 1984.Google Scholar
  16. 16.
    W. Lassâad, L. Jamel, F. Tahar, and H. Mohamed: “Effects of Eccentricity Defect and Tooth Crack on Two-Stage Gear System Behaviour,” Int. J. Eng. Sim., 2005, 6(2), pp. 17–24.Google Scholar
  17. 17.
    G. Dhatt and G. Touzot: The Finite Element Method Displayed, Maloine Edition, 1984.Google Scholar

Copyright information

© ASM International 2006

Authors and Affiliations

  • L. Walha
    • 1
  • T. Fakhfakh
    • 1
  • M. Haddar
    • 1
  1. 1.Mechanics Modelling and Production Research Unit (U2MP), Mechanical Engineering DepartmentNational School of EngineersSfaxTunisia

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