Dynamic modeling for local defect displacement excitation in rolling bearing systems under elasto-hydrodynamic lubrication and slip

YAN Chang-feng KANG Jian-xiong YUAN Hao WU Li-xiao WEI Yao-bing

Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (5) : 56-64.

PDF(1288 KB)
PDF(1288 KB)
Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (5) : 56-64.

Dynamic modeling for local defect displacement excitation in rolling bearing systems under elasto-hydrodynamic lubrication and slip

  • YAN Chang-feng KANG Jian-xiong YUAN Hao WU Li-xiao WEI Yao-bing
Author information +
History +

Abstract

The dynamic model of a rolling bearing can be used to analyze dynamic response characteristics of its local defect. During dynamic modeling of local defects in rolling bearing systems, bearing sliding, bearing elasto-hydrodynamic lubrication and bearing pedestal may not be considered. Here, a 2-DOF dynamic model for local defect displacement excitation in a rolling element bearing system was established under elasto-hydrodynamic lubrication and slip. Firstly, contact stiffness between rolling body and bearing race, lubricating oil film stiffness and damping, bearing pedestal stiffness and damping were calculated to obtain the total contact stiffness and damping. Then the actual running state of a rolling bearing was simulated considering rolling element slipping. According to Newton motion laws, dynamic equations of a bearing with local defect were built. The fourth-order Runge-Kutta method was used to solve these equations, dynamic responses of the bearing’s local defect were obtained. Comparing test results of a faulty bearing with the above simulated ones, the correctness of the established model was verified.

Key words

elasto-hydrodynamic lubrication / slipping / rolling bearing system / local defect / dynamic modeling

Cite this article

Download Citations
YAN Chang-feng KANG Jian-xiong YUAN Hao WU Li-xiao WEI Yao-bing. Dynamic modeling for local defect displacement excitation in rolling bearing systems under elasto-hydrodynamic lubrication and slip[J]. Journal of Vibration and Shock, 2018, 37(5): 56-64

References

[1] JONES A B. Ball motion and sliding friction in ball bearings[J]. Journal of Basic Engineering,1959,81(3):1-12
[2] Gupta P K, Paul B. Advanced dynamics of rolling elements[J]. Journal of Applied Mechanics, 1986, 53(3):76-99.
[3] Neng-Tung Liao, Jen Fin Lin (Member STLE). Rolling-sliding analysis in ball bearing considering thermal effect[J]. Tribology Transactions, 2006, 49(1):1-16.
[4] Kulkarni P G, Sahasrabudhe A D. A dynamic model of ball bearing for simulating localized defects on outer race using cubic hermite spline[J]. Journal of Mechanical Science and Technology, 2014,28(9): 3433-3442.
[5] Patil M S, Mathew J, Rajendrakumar P K, et al. A theoretical model to predict the effect of localized defect on vibrations associated with ball bearing[J]. International Journal of Mechanical Sciences, 2010, 52(9):1193-1201.
[6] Patel V N, Pandey R K, Tandon N. A dynamic model for vibration studies of deep groove ball bearings considering single and multiple defects in races[J]. Journal of Tribology, 2010, 132(4):041101-0411101-10.
[7] Shao Y, Liu J, Ye J. A new method to model a localized surface defect in a cylindrical roller-bearing dynamic simulation[J]. Proceedings of the Institution of Mechanical Engineers Part J Journal of Engineering Tribology, 2013, 228(2):140-159.
[8] Petersen D, Howard C, Sawalhi N, et al. Analysis of bearing stiffness variations, contact forces and vibrations in radially loaded double row rolling element bearings with raceway defects[J]. Mechanical Systems and Signal Processing, 2015,50(51):139-160.
[9] 刘静,邵毅敏,秦晓猛等. 基于非理想Hertz线接触特性的圆柱滚子轴承局部故障动力学建模[J].机械工程学报,2014,50(1):91-97.
LIU Jing, SHAO YI-min, QIN Xiao-meng,et al. Dynamic modeling on localized defect of cylindrical roller bearing based on non-hertz line contact characteristics[J]. Jourmal of Mechanical Engineering, 2014,50(1):91-97.
[10] 曹宏瑞,何正嘉,訾艳阳.高速滚动轴承力学特性建模与损伤机理分析[J].振动与冲击,2012,31(19):134-140.
CAO Hong-rui, HE Zheng-jia, ZI Yan-yang. Modeling of a high-speed rolling bearing and its damage mechanism analysis[J]. Journal of Vibration and Shock, 2012,31(19):    134-140.
[11] Wijnant Y H, Wensing J A, Nijen G C. The influence of lubrication on the dynamic behaviour of ball bearings[J]. Journal of Sound & Vibration, 1999, 222(4):579-596.
[12] Wiegert B, Hetzler H, Seemann W. A simplified elastohydrodynamic contact model capturing the nonlinear vibration behaviour[J]. Tribology International, 2013, 59(2):79-89.
[13] N.T. Liao, L.F. Lin. Ball bearing skidding under radial and axial loads[J]. Mechanism and Machine Theory, 2002, 37(1): 91-113.
[14] 张亚洲,石林锁.滚动轴承局部故障数学模型的建立与应用[J].振动与冲击,2010,29(4):73-76.
ZHANG Ya-zhou,SHI Lin-suo. Establishment and application of mathematical models for rolling element bearing with localized faults[J]. Journal of Vibration and Shock, 2010, 29(4):73-76.
[15] Bastami A R, Mba D. A new model for estimating vibrations generated in the defective rolling element bearings[J]. Journal of Vibration & Acoustics, 2011, 133(4):783-789.
[16] Sawalhi N, Randall R B. Simulating gear and bearing interactions in the presence of faults: Part I. The combined gear bearing dynamic model and the simulation of localised bearing faults[J]. Mechanical Systems and Signal Processing, 2008, 22(22):1924-1951.
[17] Patil M S, Mathew J, Rajendrakumar P K, et al. A theoretical model to predict the effect of localized defect on vibrations associated with ball bearing[J]. International Journal of Mechanical Sciences, 2010, 52(9):1193-1201.
[18] 剡昌锋, 苑浩, 王鑫,等. 点接触弹流润滑条件下的深沟球轴承表面局部缺陷动力学建模[J]. 振动与冲击, 2016, 35(14):61-70.
YAN Chang-feng, Yuan Hao, Wang Xin, et al. Dynamics modeling on localized defect of deep groove ball bearing under point contact elasto-hydrodynamic lubrication condition[J]. Journal of Vibration and Shock, 2016, 35(14) :61-70.
[19] 康建雄, 剡昌锋, 苑浩等. 考虑弹流润滑和滚动体滑动的滚动轴承局部缺陷动力学建模[J]. 振动与冲击, 2016, 35(S):178-181.
KANG Jian-xiong, YAN Chang-feng, Yuan Hao, et al. Dynamics modeling of local defect of rolling ball bearings under elasto-hydrodynamic lubrication and slipping conditions[J]. Journal of Vibration and Shock, 2016, 35(S):178-181.
[20] Dowson D, Higginson G R. The effect of material properties on the lubrication of elastic rollers[J]. ARCHIVE Journal of Mechanical Enginnering Science, 1960, 2(2):188-194.
[21] Hamrock B J, Dowson D. Isothermal Elastohydrodynamic Lubrication of Point Contacts: Part III—Fully Flooded Results[J]. Journal of Tribology, 1976, 99(1):264-275.
[22] 赵联春. 球轴承振动的研究[D]. 浙江大学, 2003.
ZHAO Lian-chun. Research on vibration of ball bearing[D]. Hang zhou: Zhe Jiang University, 2003.
[23] Hagiu G D, M.D. Gafitanu. Dynamic characteristics of high speed angular contact ball bearings[J]. Wear, 1997, 211(1):22-29.
[24] Walford T L H, Stone B J, Walford T L H. The sources of damping in rolling element bearings under oscillating conditions[J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 1983, 197(4):225-232.
PDF(1288 KB)

484

Accesses

0

Citation

Detail

Sections
Recommended

/