Research on bifurcation and chaos characteristics of planet gear transmission system with mixed elastohydrodynamic lubrication (EHL) friction-Reference-Cited by-同舟云学术

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

Published:2021-02-15 Issue:0 Volume:0 Page:
ISSN:2191-0294
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Wang Jingyue¹²,Liu Ning¹,Wang Haotian³,Guo Lixin⁴

Affiliation:

1. School of Automobile and Transportation , Shenyang Ligong University , Shenyang , 110159 , China

2. The State Key Laboratory of Mechanical Transmissions , Chongqing University , Chongqing , 400044 , China

3. School of Automation , Shenyang Aerospace University , Shenyang , 110136 , China

4. School of Mechanical Engineering and Automation , Northeastern University , Shenyang , 110819 , China

Abstract

Abstract In order to study the influence of friction on the nonlinear dynamic characteristics of a planetary gear system, the dynamic model of a planet gear transmission system considering mixed elastohydrodynamic lubrication (EHL) friction, time-varying meshing stiffness, backlash and comprehensive meshing error is established. The Runge–Kutta method is used to solve the dynamic differential equations, and the bifurcation and chaos characteristics of the system are analysed through the bifurcation diagram, largest lyapunov exponent (LLE), Poincaré map, phase diagram, time history curve diagram and fast fourier transform (FFT)spectrum. The results of numerical simulation show that the planetary gear system with mixed EHL friction exhibits rich bifurcation characteristics, and the system experiences short-periodic motion, long-periodic motion, quasi-periodic motion and chaotic motion. The effect of tooth surface friction on the bifurcation characteristics of the planetary gear system is more obvious at high frequency than that at low frequency. Tooth surface friction causes the system to enter chaotic motion in advance.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2019-0065/pdf

Reference35 articles.

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.

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.

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.

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.

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.

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