Skip to main content
Log in

Effects of gear modifications on the dynamic characteristics of wind turbine gearbox considering elastic support of the gearbox

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

The reliability and service life of wind turbines are directly influenced by the dynamic performance of the gearbox under the time-varying wind loads. The control of vibration behavior is essential for the achievement of a 20-year service life. We developed a rigid-flexible coupled dynamic model for a wind turbine gearbox. The planet carrier, the housing, and the bedplate are modelled as flexibilities while other components are assumed as rigid bodies. The actual three points elastic supporting are considered and a strip based mesh model is used to represent the engagement of the gear pairs. The effects of gear tooth modifications on the dynamics were investigated. Finally, we conducted a dynamic test for the wind turbine gearbox in the wind field. Results showed that the contact characteristics of gear pairs were improved significantly; the peak-to-peak value of transmission error of each gear pair was reduced; the amplitudes of the vibration acceleration and the structural noise of the wind turbine gearbox were lowered after suitable tooth modification.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. F. Spinato, P. J. Tavner and G. J. W. Bussel, Reliability of wind turbine subassemblies, IET Renewable Power Generation, 3 (4) (2009) 387–401.

    Article  Google Scholar 

  2. J. Helsen, P. Peeters and K. Vanslambrouck, The dynamic behavior induced by different wind turbine gearbox suspension methods assessed by means of the flexible multibody technique, Renewable Energy, 69 (3) (2014) 336–346.

    Article  Google Scholar 

  3. J. Helsen, F. Vanhollebeke and B. Marrant, Multibody modelling of varying complexity for modal behaviour analysis of wind turbine gearboxes, Renewable Energy, 36 (11) (2011) 3098–3113.

    Article  Google Scholar 

  4. Y. J. Park, J. G. Kim and G. H. Lee, Load sharing and distributed on the gear flank of wind turbine planetary gearbox, J. of Mechanical Science and Technology, 29 (1) (2015) 309–316.

    Article  Google Scholar 

  5. H. Ma, X. Pang and R. Feng, Evaluation of optimum profile modification curves of profile shifted spur gears based on vibration responses, Mechanical Systems & Signal Processing, 70 (2015).

  6. Z. Hu, J. Tang and J. Zhong, Effects of tooth profile modification on dynamic responses of a high speed gear-rotorbearing system, Mechanical Systems & Signal Processing, 76 (2016).

  7. R. G. Parker, Dynamic modeling and analysis of tooth profile modification for multimesh gear vibration, J. of Mechanical Design, 130 (12) (2008).

    Google Scholar 

  8. B. Yu and K. L. Ting, Compensated conjugation and gear tooth design and modification, J. of Mechanical Design (2015).

    Google Scholar 

  9. Q. Wu, M. Feng and J. Wu, Study on contact stress of cylinder gear and tooth profile modification of offset press, Advanced Graphic Communications, Packaging Technology and Materials, Springer Singapore (2016).

    Google Scholar 

  10. P. Velex, M. Chapron and H. Fakhfakh, On transmission errors and profile modifications minimising dynamic tooth loads in multi-mesh gears, J. of Sound and Vibration (2016).

    Google Scholar 

  11. S. Li, Effects of misalignment error, tooth modifications and transmitted torque on tooth engagements of a pair of spur gears, Mechanism & Machine Theory, 83 (83) (2015) 125–136.

    Article  Google Scholar 

  12. C. Bahk and R. Parker, Analytical investigation of tooth profile modification effects on planetary gear dynamics, Mechanism & Machine Theory, 70 (6) (2013) 298–319.

    Article  Google Scholar 

  13. C. Zhu, X. Xu and H. Liu, Research on dynamical characteristics of wind turbine gearboxes with flexible pins, Renewable Energy, 68 (7) (2014) 724–732.

    Article  Google Scholar 

  14. C. Zhu, S. Chen and H. Liu, Dynamic analysis of the drive train of a wind turbine based upon the measured load spectrum, J. of Mechanical Science and Technology, 28 (6) (2014) 2033–2040.

    Article  Google Scholar 

  15. D. Petkovic, Ž. Cojbašic and V. Nikolic, Adaptive neurofuzzy maximal power extraction of wind turbine withcontinuously variable transmission, Energy, 64 (1) (2014) 868–874.

    Article  Google Scholar 

  16. D. Petkovic, Ž. Cojbašic and V. Nikolic, Adaptive neurofuzzy approach for wind turbine power coefficient estimation, Renewable & Sustainable Energy Reviews, 28 (8) (2013) 191–195.

    Article  Google Scholar 

  17. S. Shamshirband, D. Petkovic and H. Saboohi, Wind turbine power coefficient estimation by soft computing methodologies: Comparative study, Energy Conversion & Management, 81 (2) (2014) 520–526.

    Article  Google Scholar 

  18. S. Shamshirband, D. Petkovic and A. Amini, Support vector regression methodology for wind turbine reaction torque prediction with power-split hydrostatic continuous variable transmission, Energy, 67 (4) (2014) 623–630.

    Article  Google Scholar 

  19. V. Nikolic et al., Adaptive neuro-fuzzy estimation of diffuser effects on wind turbine performance, Energy, 89 (2015) 324–333.

    Article  Google Scholar 

  20. M. Wan, Y. Ma and J. Feng, Study of static and dynamic ploughing mechanisms by establishing generalized model with static milling forces, International J. of Mechanical Sciences, 114 (2016) 120–131.

    Article  Google Scholar 

  21. M. Wan, Y. Wang and W. Zhang, Prediction of chatter stability for multiple-delay milling system under different cutting force models, International J. of Machine Tools & Manufacture, 51 (4) (2011) 281–295.

    Article  Google Scholar 

  22. X. Jin, L. Li and W. Ju, Multibody modeling of varying complexity for dynamic analysis of large-scale wind turbines, Renewable Energy, 90 (2016) 336–351.

    Article  Google Scholar 

  23. H. Zhai, C. Zhu and C. Song, Influences of carrier assembly errors on the dynamic characteristics for wind turbine gearbox, Mechanism & Machine Theory, 103 (2016) 138–147.

    Article  Google Scholar 

  24. J. Helsen, F. Vanhollebeke and F. D. Coninck, Insights in wind turbine drive train dynamics gathered by validating advanced models on a newly developed 13.2 MW dynamically controlled test-rig, Mechatronics, 21 (4) (2011) 737–752.

    Article  Google Scholar 

  25. O. D. Mohammed and M. Rantatalo, Dynamic response and time-frequency analysis for gear tooth crack detection, Mechanical Systems & Signal Processing (2015) 66.

    Google Scholar 

  26. Z. Chen, W. Zhai and Y. Shao, Analytical model for mesh stiffness calculation of spur gear pair with non-uniformly distributed tooth root crack, Engineering Failure Analysis, 66 (2016) 502–514.

    Article  Google Scholar 

  27. ISO, International Standard ISO 6336-1, Second edition, 2007-04-01 (2007).

    Google Scholar 

  28. SMT, http://www.smartmt.com.

  29. SKF, http://www.skfcm.com.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Caichao Zhu.

Additional information

Recommended by Associate Editor Eung-Soo Shin

Shuaishuai Wang is a M.S. candidate at the State Key Laboratory of Mechanical Transmissions, Chongqing Univer- sity, China in 2015. His research area is dynamic analysis of wind turbine gearbox.

Caichao Zhu is currently a Professor at the State Key Laboratory of Mechanical Transmissions, Chongqing University, China. His research fields include the dynamics of gear systems, the tribology of mechanical transmissions, and the design of accurate transmission.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, S., Zhu, C., Song, C. et al. Effects of gear modifications on the dynamic characteristics of wind turbine gearbox considering elastic support of the gearbox. J Mech Sci Technol 31, 1079–1088 (2017). https://doi.org/10.1007/s12206-017-0207-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-017-0207-0

Keywords

Navigation