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Influence of manufacturing errors on dynamic floating characteristics for herringbone planetary gears

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Abstract

Owing to the present of manufacturing errors, the dynamic floating characteristics of herringbone planetary gear train (HPGT) can be changed in comparison with the original ideal design. In this research, based on the actual structure of herringbone gears, taking into consideration manufacturing eccentric errors and tooth profile errors, bearing deformation, time-varying meshing stiffness, gyroscopic effect, and so on, a novel and generalized bending–torsional–axial coupled dynamic model of a herringbone planetary gear train is presented to investigate the dynamic floating performances applying the lumped-parameter approach. The model is capable of being employed for the vibration behavior analysis of the HPGT with different types of manufacturing errors and arbitrary number of planets. The variable step Runge–Kutta algorithm is utilized to compute the dynamic responses of the HPGT system. In combination with the proposed computational approach of the component floating displacement amount, the relationship among manufacturing errors, component floating displacements, and different floating forms is obtained, and the effects of manufacturing errors on the HPGT dynamic floating performances are discussed. Meanwhile, sun gear radial floating trajectories in two cases of sun gear float and non-float are compared and analyzed. Results indicate that the manufacturing error and component float prominently affect the dynamic floating characteristics in the HPGT system.

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References

  1. Ren, F., Qin, D.T., Lim, T.C., Lyu, S.K.: Study on dynamic characteristics and load sharing of a herringbone planetary gear with manufacturing errors. INT. J. Precis. Eng. Manuf. 15(9), 1925–1934 (2014)

    Article  Google Scholar 

  2. Bodas, A., Kahraman, A.: Influence of carrier and gear manufacturing errors on the static load sharing behavior of planetary gear sets. JSME Int. J. Ser. C 47(3), 908–915 (2004)

    Article  Google Scholar 

  3. Ligata, H., Kahraman, A., Singh, A.: A closed-form planet load sharing formulation for planetary gear sets using a translational analogy. J. Mech. Des. 131(2), 021007 (2009)

    Article  Google Scholar 

  4. Lin, J., Parker, R.G.: Planetary gear parametric instability caused by mesh stiffness variation. J. Sound Vib. 249(1), 129–145 (2002)

    Article  Google Scholar 

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

    Article  Google Scholar 

  6. Kim, W., Lee, J.Y., Chung, J.: Dynamic analysis for a planetary gear with time-varying pressure angles and contact ratios. J. Sound Vib. 331(4), 883–901 (2012)

    Article  Google Scholar 

  7. Kahraman, A.: Planetary gear train dynamics. J. Mech. Des. 116(3), 713–720 (1994)

    Article  Google Scholar 

  8. Eritenel, T., Parker, R.G.: Modal properties of three dimensional helical planetary gears. J. Sound Vib. 325(1–2), 397–420 (2009)

    Article  Google Scholar 

  9. Bu, Z., Liu, G., Wu, L.: Modal analyses of herringbone planetary gear train with journal bearings. Mech. Mach. Theory 54, 99–115 (2012)

    Article  Google Scholar 

  10. Sondkar, P., Kahraman, A.: A dynamic model of a double-helical planetary gear set. Mech. Mach. Theory 70, 157–174 (2013)

    Article  Google Scholar 

  11. Chaari, F., Fakhfakh, T., Hbaieb, R., Louati, J., Hadder, M.: Influence of manufacturing errors on the dynamic behavior of planetary gears. Int. J. Adv. Manuf. Technol. 27(7–8), 738–746 (2006)

    Article  Google Scholar 

  12. Gu, X., Velex, P.: A dynamic model to study the influence of planet position errors in planetary gears. J. Sound Vib. 331, 4554–4574 (2012)

    Article  Google Scholar 

  13. Gu, X., Velex, P.: On the dynamic simulation of eccentricity errors in planetary gears. Mech. Mach. Theory 61, 14–29 (2013)

    Article  Google Scholar 

  14. Ren, F., Qin, D.T.: Investigation of the effect of manufacturing errors on dynamic characteristics of herringbone planetary gear trains. In: Conference Proceedings of International Gear Conference, vol. 1, pp. 230–239 (2014)

  15. Qin, D.T., Ren, F., Wu, X.L.: Effect of sun gear manufacturing eccentric errors on dynamic performances of herringbone planetary gear train. J. Northeast Univ. (Nat. Sci. Ed.). 36(5), 709–714 (2015)

    Google Scholar 

  16. Zhu, Z.B., Zhu, R.P., Bao, H.Y., Jin, G.H.: Impact of run-out and mesh-frequency errors on dynamic load sharing for encased differential herringbone train. J. Aerosp. Power. 26(11), 2601–2609 (2011)

    Google Scholar 

  17. Ren, F., Shi, G.Q., Luo, G.F., et al.: Study of the modal energy distribution of herringbone planetary gears. In: Conference Proceedings of the International Conference on Power Transmissions vol. 2, pp. 641–646 (2016)

  18. Chen, L.M., Zhang, C.Y.: Modeling and simulation of dynamics of electro-mechanical systems. J. Zhengzhou Univ. of Light Ind. (Nat. Sci. Ed.). 22(2–3), 119–122 (2007)

    Google Scholar 

  19. Shao, Y., Chen, Z.: Dynamic features of planetary gear set with tooth plastic inclination deformation due to tooth root crack. Nonlinear Dyn. 74, 1253–1266 (2013)

    Article  Google Scholar 

  20. Motahar, H., Samani, F., Molaie, M.: Nonlinear vibration of the bevel gear with teeth profile modification. Nonlinear Dyn. 83(4), 1875–1884 (2016)

    Article  Google Scholar 

  21. Jiang, Y., Zhu, H., Li, Z., Peng, Z.: The nonlinear dynamics response of cracked gear system in a coal cutter taking environmental multi-frequency excitation forces into consideration. Nonlinear Dyn. 84(1), 203–222 (2016)

    Article  Google Scholar 

  22. Li, Z., Peng, Z.: Nonlinear dynamic response of a multi-degree of freedom gear system dynamic model coupled with tooth surface characters: a case study on coal cutters. Nonlinear Dyn. 84(1), 271–286 (2016)

    Article  Google Scholar 

  23. Maatar, M., Velex, P.: An analytical expression for the time-varying contact length in perfect cylindrical gears: some possible applications in gear dynamics. J. Mech. Des. 118(4), 586–589 (1996)

    Article  Google Scholar 

  24. Parker, R.G., Lin, J.: Phasing relationships in planetary and epicyclic gears. J. Mech. Des. 126(2), 365 (2004)

    Article  Google Scholar 

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Acknowledgements

This research is supported by the Scientific and Technological Research Project from Henan Province (Grant No. 172102210056) and the Doctoral Scientific Research Funds of Zhengzhou University of Light Industry (Grant No. 2015BSJJ030).

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Authors and Affiliations

  1. School of Mechanical and Electrical Engineering and Henan Key Laboratory of Mechanical Equipment Intelligent Manufacturing, Zhengzhou University of Light Industry, Zhengzhou, 450002, China

    Fei Ren & Guofu Luo

  2. Zhengzhou University of Light Industry, Zhengzhou, 450002, China

    Guiqin Shi

  3. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing, China

    Xiaoling Wu

  4. School of Mechanical Engineering, Zhengzhou University, Zhengzhou, China

    Xiaoling Wu

  5. Underground Space Design and Research Institute, China Railway Engineering Equipment Group Co. ltd, Zhengzhou, China

    Ning Wang

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  1. Fei Ren
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  2. Guofu Luo
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  3. Guiqin Shi
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  4. Xiaoling Wu
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Correspondence to Fei Ren.

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Ren, F., Luo, G., Shi, G. et al. Influence of manufacturing errors on dynamic floating characteristics for herringbone planetary gears. Nonlinear Dyn 93, 361–372 (2018). https://doi.org/10.1007/s11071-018-4197-y

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  • DOI: https://doi.org/10.1007/s11071-018-4197-y

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