Research on bifurcation and chaos characteristics of planet gear transmission system with mixed elastohydrodynamic lubrication (EHL) friction

References

[1] H. L. Liu, H. J. Liu, C. C. Zhu, and R. G. Parker, “Effects of lubrication on gear performance: a review,” Mech. Mach. Theor., vol. 145, p. 103701, 2019. https://doi.org/10.1016/j.mechmachtheory.2019.103701.Search in Google Scholar

[2] A. Kahraman and R. Singh, “Interactions between time-varying mesh stiffness and clearance non-linearities in a geared system,” J. Sound Vib., vol. 146, no. 1, pp. 135–156, 1991. https://doi.org/10.1016/0022-460x(91)90527-q.Search in Google Scholar

[3] M. Vaishya and D. R. Houser, “Sliding friction induced nonlinearity and parametric effects in gear dynamics,” J. Sound Vib., vol. 248, no. 4, pp. 671–694, 2001. https://doi.org/10.1006/jsvi.2001.3818.Search in Google Scholar

[4] S. S. Ghosh and G. Chakraborty, “Parametric instability of a multi-degree-of-freedom spur gear system with friction,” J. Sound Vib., vol. 354, pp. 236–253, 2015. https://doi.org/10.1016/j.jsv.2015.06.012.Search in Google Scholar

[5] X. G. Wang, Y. Wang, X. Zhao, and X. Li, “Study on super-harmonic resonance for gear transmission based on teeth surface friction,” J. Mech. Sci. Technol., vol. 29, no. 11, pp. 4631–4638, 2015. https://doi.org/10.1007/s12206-015-1008-y.Search in Google Scholar

[6] A. Guerine, A. E. Hami, L. Walha, T. Fakhfakh, and M. Hadda, “A polynomial chaos method for the analysis of the dynamic behavior of uncertain gear friction system,” Eur. J. Mech., vol. 59, pp. 76–84, 2016. https://doi.org/10.1016/j.euromechsol.2016.03.007.Search in Google Scholar

[7] A. Guerine, A. E. Hami, L. Walha, T. Fakhfakh, and M. Hadda, “Dynamic response of a spur gear system with uncertain friction coefficient,” Adv. Eng. Software, vol. 120, pp. 45–54, 2018. https://doi.org/10.1016/j.advengsoft.2016.05.009.Search in Google Scholar

[8] J. Y. Wang, H. T. Wang, H. Wang, and L. Guo, “Influence of the random system parameters on the nonlinear dynamic characteristics of gear transmission system,” Int. J. Nonlinear Sci. Numer. Stimul., vol. 18, nos 7-8, pp. 619–630, 2017. https://doi.org/10.1515/ijnsns-2016-0119.Search in Google Scholar

[9] S. Zhou, G. Song, M. Sun, and Z. Ren, “Nonlinear dynamic response analysis on gear-rotor-bearing transmission system,” J. Vib. Contr., vol. 24, no. 9, pp. 1632–1651, 2016. https://doi.org/10.1177/1077546316667178.Search in Google Scholar

[10] Y. N. Fang, X. H. Liang, and M. J. Zuo, “Effects of friction and stochastic load on transient characteristics of a spur gear pair,” Nonlinear Dynam., vol. 93, no. 2, pp. 599–609, 2018. https://doi.org/10.1007/s11071-018-4212-3.Search in Google Scholar

[11] Y. Xia, Y. Wan, and Z. Q. Liu, “Bifurcation and chaos analysis for a spur gear pair system with friction,” J. Braz. Soc. Mech. Sci., vol. 40, no. 529, pp. 1–19, 2018. https://doi.org/10.1007/s40430-018-1443-7.Search in Google Scholar

[12] S. Mo, J. B. Gong, G. G. Jin, et al.., “Precise modeling of complex tooth surface microtopography and multi-degree-of-freedom nonlinear friction dynamics for high-performance face gear,” Sci. Prog., vol. 103, no. 5, pp. 1–28, 2019. https://doi.org/10.1177/0036850419881078.Search in Google Scholar PubMed

[13] N. Feki, M. Hammami, O. Ksentini, M. S. Abbes, and M. Haddar, “Frictional dynamic model predictions of FZG-A10 spur gear pairs considering profile errors,” Proc. Inst. Mech. Eng. J J. Eng., 2020, https://doi.org/10.1177/1350650120962973.Search in Google Scholar

[14] E. Y. Zhu, S. J. Wu, X. B. Wang, et al.., “Nonlinear dynamic model of planetary gear transmission system with friction,” Vib. Shock (Chinese), vol. 29, no. 8, pp. 217–220, 2010. https://doi.org/10.13465/j.cnki.jvs.2010.08.025.Search in Google Scholar

[15] S. Y. Chen, J. Y. Tang, C. W. Luo, and W. Qibo, “Nonlinear dynamic characteristics of geared rotor bearing systems with dynamic backlash and friction,” Mech. Mach. Theor., vol. 46, no. 4, pp. 466–478, 2011. https://doi.org/10.1016/j.mechmachtheory.2010.11.016.Search in Google Scholar

[16] F. X. Lu, R. P. Zhu, H. F. Wang, H. Bao, and M. Li, “Dynamic characteristics of double helical planetary gear train with tooth friction,” in ASME 2015 Int. Design Engineering Technical Conf. and Computers and Information in Engineering Conf., 2015.10.1115/DETC2015-48022Search in Google Scholar

[17] M. Mohammadpour, S. Theodossiades, and H. Rahnejat, “Dynamics and efficiency of planetary gear sets for hybrid powertrains,” Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci., vol. 230, no. 7–8215, pp. 1359–1368. https://doi.org/10.1177/0954406215590644.Search in Google Scholar

[18] K. Salagianni, P. Nikolakopoulos, and S. Theodossiades, “Dynamic and tribological study of a planetary gearbox with local nonlinearities,” Proc. Inst. Mech. Eng. K J. Multi-body Dyn., vol. 231, no. 3, pp. 504–518, 2017. https://doi.org/10.1177/1464419317720602.Search in Google Scholar

[19] S. S. Hou, J. Wei, A. Q. Zhang, T. C. Lim, and C. Zhang, “Study of dynamic model of helical/herringbone planetary gear system with friction excitation,” J. Comput. Nonlinear Dynam., vol. 13, no. 12, pp. 1–47, 2018. https://doi.org/10.1115/1.4041774.Search in Google Scholar

[20] W. Liu, Z. J. Shuai, Y. B. Guo, et al.., “Modal properties of a two-stage planetary gear system with sliding friction and elastic continuum ring gear,” Mech. Mach. Theor., vol. 135, pp. 251–270, 2019. https://doi.org/10.1016/j.mechmachtheory.2019.01.026.Search in Google Scholar

[21] S. Y. Wang and R. P. Zhu, “Nonlinear dynamic analysis of GTF gearbox under friction excitation with vibration characteristics recognition and control in frequency domain,” Mech. Syst. Signal Process., vol. 151, p. 107373, 2021. https://doi.org/10.1016/j.ymssp.2020.107373.Search in Google Scholar

[22] W. Luo, B. J. Qiao, Z. X. Shen, et al.., “Influence of sliding friction on the dynamic characteristics of a planetary gear set with the improved time-varying mesh stiffness,” J. Mech. Des., vol. 142, no. 7, p. 0733021, 2020. https://doi.org/10.1115/1.4046073.Search in Google Scholar

[23] W. Luo, B. J. Qiao, Z. X. Shen, et al.., “Investigation on the influence of spalling defects on the dynamic performance of planetary gear sets with sliding friction,” Tribol. Int., vol. 154, p. 106639, 2021. https://doi.org/10.1016/j.triboint.2020.106639.Search in Google Scholar

[24] J. Y. Wang, N. Liu, H. T. Wang, and L. Guo, “Nonlinear dynamic characteristics of planetary gear transmission system considering squeeze oil film,” J. Low Freq. Noise V A, pp. 1–29, 2020. https://doi.org/10.1177/1461348420935665.Search in Google Scholar

[25] R. G. Parker, “A physical explanation for the effectiveness of planet phasing to suppress planetary gear vibration,” J. Sound Vib., vol. 236, pp. 561–573, 2000. https://doi.org/10.1006/jsvi.1999.2859.Search in Google Scholar

[26] D. P. Sheng, R. P. Zhu, G. H. Jin, et al.., “Bifurcation and chaos study on transverse-torsional coupled 2K-H planetary gear train with multiple clearances,” J Cent South Univ., vol. 23, pp. 86–101, 2016. https://doi.org/10.1007/s11771-016-3052-x.Search in Google Scholar

[27] K. F. Martin, “A review of friction prediction in gear teeth,” Wear, vol. 49, pp. 201–238, 1978. https://doi.org/10.1016/0043-1648(78)90088-1.Search in Google Scholar

[28] H. Y. Kong and J. H. He, “A novel friction law,” Therm. Sci., vol. 16, no. 5, pp. 1529–1533, 2012. https://doi.org/10.2298/tsci1205529k.Search in Google Scholar

[29] H. Song, S. Cho, and R. Singh, “Prediction of dynamic friction forces in spur gears using alternate sliding friction formulations,” J. Sound Vib., vol. 309, pp. 843–851, 2008. https://doi.org/10.1016/j.jsv.2007.06.077.Search in Google Scholar

[30] D. Zhu and Y. Z. Hu, “A computer program package for the prediction of EHL and mixed lubrication characteristics friction subsurface stresses and flash temperatures based on measured 3-D surface roughness,” Tribol. Trans., vol. 44, pp. 383–390, 2001. https://doi.org/10.1080/10402000108982471.Search in Google Scholar

[31] Y. Z. Hu and D. Zhu, “A full numerical solution to the mixed lubrication in point contacts,” ASME J. Tribol., vol. 122, pp. 1–9, 2000. https://doi.org/10.1115/1.555322.Search in Google Scholar

[32] D. Dowson and G. R. Higginson, Elastohydrodynamic Lubrication: The Fundamental of Roller and Gear Lubrication, Oxford, Oxford Pergamon Press, 1966.Search in Google Scholar

[33] J. Castro and J. Seabrea, “Coefficient of friction in mixed film lubrication: gear versus twin-disc,” Proc. Inst. Mech. Eng. J J. Eng., vol. 22, pp. 399–411, 2007. https://doi.org/10.1243/13506501jet257.Search in Google Scholar

[34] J. Zhang, X. Z. Liu, Y. Jiao, and Y. Song, “Vibration analysis of planetary gear trains based on a discrete-continuum dynamic model,” J. Mech. Eng., vol. 50, pp. 104–112, 2014. https://doi.org/10.3901/jme.2014.15.104.Search in Google Scholar

[35] J. Wang, J. H. Zheng, and A. B. Yang, “An analytical study of bifurcation and chaos in a spur gear pair with sliding friction,” Proc. Eng., vol. 31, pp. 563–570, 2012. https://doi.org/10.1016/j.proeng.2012.01.1068.Search in Google Scholar