Nonlinear Dynamics Analysis of Gear System Considering Unbalance and Loosening Faults

Abstract:

Considering backlash, radial clearance of bearing and time-varying mesh stiffness, nonlinear dynamic model of gear bearing rotor system is established considering unbalance and loosening fault. Nonlinear dynamic equations are solved using Runge-Kutta method and Newton-Raphson method. Numerical simulations of the dynamic equations and the affection of the depth of crack and length of wear to the nonlinear dynamic behavior are studied. The results shows that tooth off, bilateral impact phenomenon are occurred, with increasing gear failure when unbalance occurs, and the gear system exhibits a diverse range of periodic, quasi-periodic and chaotic motion. When loosening fault occurs, the range of chaos motion is increased, and gear burnishing is also intensified.

• Periodical: Advanced Materials Research (Volumes 875-877)
• Pages: 1976-1981
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.875-877.1976
• Online since: February 2014
• Authors: Li Cui, Da Fang Shi, Jian Rong Zheng, Xiao Guang Song
• Keywords: Backlash, Gear, Gear Burnishing, Loosening, Tooth off, Unbalance

References

[1] Zhang Suohuai, Shen yunwen. On response of mass unbalance in a geared rotor bearing system[J]. Chinese journal of mechanical engineering. 2002, 38(6): 51-55.

DOI: 10.3901/jme.2002.06.051

[2] Cai Wan，Chang Jian．Strong nonlinearity analysis for gear-bearing system under nonlinear suspension bifurcation and chaos[J]．Nonlinear Analysis: Real World Applications．2010, 11：1760-1774.

DOI: 10.1016/j.nonrwa.2009.03.027

[3] Cui Yahui, Liu Zhansheng, Ye Jianhuai. Dynamic response of geared rotor system and the effect of clearance on jump characteristics of amplitude[J]. Chinese journal of mechanical engineering. 2009, 45(7): 7-15.

DOI: 10.3901/jme.2009.07.007

[4] T.C. Gupta, K. Gupta, D. K. Sehgal. Instability and chaos of a flexible rotor ball bearing system: an investigation on the influence of rotating imbalance and bearing clearance[J]. Journal of Engineering for Gas Turbines and Power. 2011, 133: 1-11.

DOI: 10.1115/1.4002657

[5] Miroslav Byrtus，Vladimír Zeman．On modeling and vibration of gear drives influenced by nonlinear couplings[J]．Mechanism and Machine Theory. 2011, 46: 375-397.

DOI: 10.1016/j.mechmachtheory.2010.10.007

[6] Chen Guo. Nonlinear dynamics study on rotor rolling bearing system with unbalance and rubbing fault. Vibration and shock. 2008, 27(4): 43-48.

[7] Chen Enli, He Tian, Liu Xiandong. Bifurcation and chaos of rotor system with looseness of rolling element bearing house. Chinese journal of construction machinery. 2003, 1(1): 101-105.

[8] Liu Xiandong, He Tian, Li Qihan. Dynamic model of rotor system with support loosening and its diagnosis method. Journal of aerospace power. 2005, 20(1): 54-59.

[9] Y. Cai．Simulation on the rotational vibration of helical gear in consideration of the tooth separation phenomenon[J]．Journal of Mechanical Design. 1995, 117: 460-468.

DOI: 10.1115/1.2826701

[10] Wang Li-qin, Cui Li, Zheng De-zhi. Study on Dynamic Property of Ball Bearing System with Nonlinear Vibration of Rotor[J]. Journal of Mechanical Engineering Science. 2008, 222(C9), 1811-1819.

[11] Harris T A. Rolling Bearing Analysis(4th Edition). John Wiley&Sons, Inc. New York, (2001).

[12] P. Sundararajan, S.T. Noah. An algorithm for response and stability of large order non-linear systems application to rotor systems[J]. Journal of sound and vibration, 1998, 214(4): 695-723.

DOI: 10.1006/jsvi.1998.1614