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Dynamic Characteristics Analysis of the First-Stage Fixed-Axis Gear Pair with Wear Fault for a Wind Turbine Gearbox Considering Different Friction States

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Abstract

The friction directly affected by lubrication conditions is an inevitable non-smooth factor in the surface contact of gears. And the continuous consumption of tooth surface materials, caused by friction and pulse forces in the gear meshing process, easily results in a wear fault. This paper conducts a study on the dynamic behaviors of gear wear for a wind turbine gearbox considering various lubrication states. The tooth friction force for dry friction, mixed lubrication and elastohydrodynamic lubrication is calculated according to the Coulomb law of friction. The wear of the first-stage fixed-axis gear pair is simulated by varying the comprehensive transmission error magnitude, and the time-varying meshing stiffness of fixed-axis and planetary gears is calculated using the potential energy method. The torsional dynamic model of the gearbox is established by taking into account the tooth surface friction, transmission error, stiffness, dam** and backlash. The dynamic wear characteristics in different friction states are analyzed through the displacement bifurcation diagram, phase portrait and Poincaré section, and the frequency domain results are compared with the experimental data. The results show that in different friction states, the quasi-periodic interval is in advance and becomes larger with the increment of wear, and the largest displacement amplitude in chaotic motion increases. The wear makes the chaotic motion appear early in dry friction state and delay in mixed and elastohydrodynamic lubrication states. The research provides significant guidance for diagnosing and monitoring the wear fault of gear transmission systems.

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REFERENCES

  1. J. H. Zou, Master Thesis (Univ. Guangdong Technology, Guangzhou, 2020). https://doi.org/10.27029/d.cnki.ggdgu.2020.001767

  2. Z. X. Shen, B. J. Qiao, W. Luo, et al., “Research on dynamic response characteristics and condition indicators of gear wear fault,” J. Mech. Eng. 57 (17), 120–131 (2021). https://doi.org/10.3901/JME.2021.17.120

    Article  Google Scholar 

  3. X. Zhang, J. W. Lu, Z. Y. Wu, and H. M. **e, “Dynamic modeling analysis of gear transmission system with consideration of tooth surface friction and thermal deformation,” J. Vibr. Shock 36 (10), 207–211 (2017). https://doi.org/10.13465/j.cnki.jvs.2017.10.033

    Article  Google Scholar 

  4. Y. G. Wang, H. Q. Zheng, T. Q. Yang, et al., “Nonlinear dynamic behavior of gear system under fault parameters,” J. Vibr. Measur. Diagn. 31 (5), 570–574 (2011). https://doi.org/10.16450/j.cnki.issn.1004-6801.2011.05.012

    Article  Google Scholar 

  5. X. S. Wang, S. J. Wu, X. H. Zhou, and J. C. Hu, “Nonlinear dynamics behavior of gear system with fault parameters,” J. Vibr. Shock 32 (16), 37–43 (2013). https://doi.org/10.13465/j.cnki.jvs.2013.16.020

    Article  Google Scholar 

  6. H. B. Gao, Y. G. Li, and J. Liu, “Dynamic analysis of tooth wear fault of gear system based on dynamic backlash,” J. Vibr. Shock 33 (18), 221–226 (2014). https://doi.org/10.13465/j.cnki.jvs.2014.18.036

    Article  Google Scholar 

  7. X. Wang, “Nonlinear dynamic characteristics of fixed-axis gear wear in multistage gear transmission systems,” Shock Vib. 2019, 5641617 (2019). https://doi.org/10.1155/2019/5641617

  8. Y. L. Wang, Y. J. Wan, F. W. Yin, and L. Yang, “Analysis of nonlinear dynamics characteristic of spur gear pair system with fault,” J. Mech. Transmiss. 43 (10), 136–140 (2019). https://doi.org/10.16578/j.issn.1004.2539.2019.10.025

    Article  Google Scholar 

  9. Z. B. Geng, K. **ao, J. X. Wang, and J. Y. Li, “Investigation on nonlinear dynamic characteristics of a new rigid-flexible gear transmission with wear,” J. Vib. Acoust. Trans. ASME 141 (5), 051008 (2019). https://doi.org/10.1115/1.4043543

  10. Z. B. Geng, K. **ao, J. Y. Li, and J. X. Wang, “Bifurcation and chaos of a spur gear transmission system with non-uniform wear,” J. Vib. Acoust. Trans. ASME 143 (3), 031004 (2021). https://doi.org/10.1115/1.4048269

  11. X. Q. Sun, T. Wang, R. L. Zhang, et al., “Numerical modelling of vibration responses of helical gears under progressive tooth wear for condition monitoring,” Math. 9 (3), 213 (2021). https://doi.org/10.3390/math9030213

    Article  Google Scholar 

  12. Z. X. Shen, B. J. Qiao, L. H. Yang, et al., “Fault mechanism and dynamic modeling of planetary gear with gear wear,” Mech. Mach. Theory 155, 104098 (2021). https://doi.org/10.1016/j.mechmachtheory.2020.104098

  13. X. Zhang, J. X. Zhong, W. Li, and M. Bocian, “Nonlinear dynamic analysis of high-speed gear pair with wear fault and tooth contact temperature for a wind turbine gearbox,” Mech. Mach. Theory 173, 104840 (2022). https://doi.org/10.1016/j.mechmachtheory.2022.104840

  14. S. He, R. Gunda, and R. Singh, “Inclusion of sliding friction in contact dynamics model for helical gears,” J. Mech. Des. 129 (1), 48–57 (2007). https://doi.org/10.1115/1.2359474

    Article  Google Scholar 

  15. H. J. Wu, J. W. Yang, F. M. Wang, and X. H. Qiu, “Analysis of bifurcation and chaotic characteristics of gear system with friction influence,” Mach. Des. Res. 32 (6), 41–45 (2016). https://doi.org/10.13952/j.cnki.jofmdr.2016.0227

    Article  Google Scholar 

  16. F. Chen, Z. M. **ao, and L. R. Xun, “Dynamic modeling and analysis of 2-stage planetary gear transmissionsystem including friction,” Mach. Des. Res. 33 (1), 63–66 (2017). https://doi.org/10.13952/j.cnki.jofmdr.2017.0014

    Article  Google Scholar 

  17. C. Wang, S. R. Wang, and G. Q. Wang, “Research on dynamic model of double helical gear pair based on TCA and LTCA,” Int. J. Acoust. Vib. 24 (3), 476–484 (2019). https://doi.org/10.20855/ijav.2019.24.31302

    Article  Google Scholar 

  18. S. Mo, J. B. Gong, G. G. **, et al., “Precise modeling of complex tooth surface microtopography and multi-degree-of-freedom nonlinear friction dynamics for high-performance face gear,” Sci. Prog. 103 (1), 0036850419881078 (2020). https://doi.org/10.1177/0036850419881078

  19. Z. Li, J. M. Wang, H. Zhang, et al., “Influence of surface topography on the friction and dynamic characteristics of spur gears,” Proc. Inst. Mech. Eng. Part J. J. Eng. Tribol. 234 (12), 1892–1907 (2020). https://doi.org/10.1177/1350650119897471

    Article  Google Scholar 

  20. J. Y. Wang, N. Liu, H. T. Wang, and J. Q. E, “Analysis of nonlinear dynamic characteristic of a planetary gear system considering tooth surface friction,” Proc. Inst. Mech. Eng. Part J. J. Eng. Tribol. 235 (11), 2376–2395 (2021). https://doi.org/10.1177/1350650121991741

    Article  Google Scholar 

  21. X. R. Wang, W. Li, D. X. Hu, et al., “Dynamic characteristics of the gear-rotor system in compressed air energy storage considering friction effects,” Mech. Sci. 12 (1), 677–688 (2021). https://doi.org/10.5194/ms-12-677-2021

    Article  Google Scholar 

  22. H. Dong, H. Q. Zhang, and J. W. Zhang, “Effect of tooth surface friction on bifurcation characteristics of two-stage five-branch planetary system,” J. Yanshan Univ. 46 (1), 29–37 (2022). https://doi.org/10.3969/j.issn.1007-791X.2022.01.004

    Article  Google Scholar 

  23. H. Q. Zhang, H. Dong, L. B. Wang, and X. L. Zhao, “Effect of tooth surface friction on bending torsional axial pendular coupling nonlinear amplitude frequency characteristic of marine herringbone gear,” J. Mech. Transmis. 46 (5), 9–16 (2022). https://doi.org/10.16578/j.issn.1004.2539.2022.05.002

    Article  Google Scholar 

  24. H. Song, S. Cho, and R. Singh, “Prediction of dynamic friction forces in spur gears using alternate sliding friction formulation,” J. Sound Vib. 309, 843–851 (2008). https://doi.org/10.1016/j.jsv.2007.06.077

    Article  ADS  Google Scholar 

  25. AGMA Information Sheet 925-A03, Effect of Lubrication on Gear Surface Distress (AGMA, 2003).

  26. P. Sainsot, P. Velex, and O. Duverger, “Contribution of gear body to tooth deflections-A new bidimensional analytical formula,” J. Mech. Des. 126 (4), 748–752 (2004). https://doi.org/10.1115/1.1758252

    Article  Google Scholar 

  27. X. Wang, PhD Thesis (Univ. Tian Gong, Tian**, 2016). https://doi.org/10.7666/d.Y3193432

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Funding

This work was supported by the National Natural Science Foundation of China (grant no. 51805369) and the Science and Technology Planning Project of Tian** (grant no. 20YDTPJC00820).

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Correspondence to X. J. Niu.

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Zhang, X., Li, H.W., Li, Q. et al. Dynamic Characteristics Analysis of the First-Stage Fixed-Axis Gear Pair with Wear Fault for a Wind Turbine Gearbox Considering Different Friction States. Mech. Solids 58, 1628–1652 (2023). https://doi.org/10.3103/S0025654423600526

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