Abstract：The dynamic characteristics of rolling bearings in rotating machinery under varying working environment are complex, to which failures and damages are susceptible.Considering the effects of clearance, impact and lubrication on the multibody dynamic contact, the multibody dynamics characteristics of ball bearings under varying working conditions were discussed.A three-dimensional contact dynamics model was established based on the geometric structural equations of ring races, and the searching algorithm for prediction of dynamic contact force was designed.A three-dimensional dynamic model of balls together with the cage was also established with consideration of the clearance, impact and lubrication and the relative action between the cage and guide ring was assumed to be equivalent to a short sliding bearing.Then the multibody contact dynamics model of angular contact ball bearings was constructed and solved by using generalized-α algorithms under varying working conditions.The three-dimensional motion trajectories, dynamic forces, vibration accelerations and FFT spectrums of ball bearings were achieved.In the starting stage, the forces and vibration displacements are larger because of the initial speed and load impact, when the inner and outer rings are both in rotating condition.In the stationary stage, the key vibration frequencies are the angular frequencies of the freely rotating rings.The displacement of cages center is deceasing only when the radial force on the inner ring keeps constant.The three-dimensional motion trajectories of cages center are approximately the whirling motion of an cylindrical surface.
姚廷强,王立华,刘孝保,黄亚宇. 变工况下角接触球轴承保持架稳定性分析[J]. 振动与冲击, 2016, 35(18): 172-180.
YAO Tingqiang, WANG Lihua,Liu Xiaobao,HUANG Yayu. Dynamic stability analysis on the cage of ball bearing under varying working environment. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(18): 172-180.
[1] 刘保国,孟华.滚动轴承动力学模型研究进展[J].轴承,2014,(2):59-64.
Liu Bao guo,Meng Hua. Research Progress on Dynamics Models for Ｒolling Bearings[J]. Bearing,2014,(2):59-64. (in Chinese)
[2] 张建忠, 马国翰.滚动轴承保持架动力学研究进展[J].轴承.2011.(1):56-60.
ZHANG Jian-zhong，MA Guo-han. Research progress oil dynamics of rolling bearing cages[J]. Bearing. 2011.1:56-60. (in Chinese)
[3] Dipen S. Shah,Vinod N. Patel. A Review of Dynamic Modeling and Fault Identifications Methods for Rolling Element Bearing.2nd International Conference on Innovations in Automation and Mechatronics Engineering, ICIAME 2014
[4] 邓四二，孙朝阳，顾金芳等.低噪音深沟球轴承振动特性研究[J].振动与冲击,2015,34(10):12-19.
DENG Si-er, SUN Chao-yang, GU Jin-fang, et al. Vibration characteristics of low-noise deep groove ball bearings[J]. Journal of Vibration and shock,2015,34(10):12-19. (in Chinese)
[5] 陈小安，刘俊峰，陈宏等.计及套圈变形的电主轴角接触球轴承动刚度分析[J].振动与冲击,2013,32(2):81-85.
CHEN Xiao-an,LIU Jun-feng,CHEN Hong, et al. Dynamic stiffness analysis for motorized-spindle angular contact ball bearings considering ferrule deformation[J]. Journal of Vibration and shock,2013,32(2):81-85. (in Chinese)
[6] 方兵,张雷,曲兴田等.角接触球轴承动力学建模与实验[J].农业机械学报,2012,43(6):215-225.
Fang Bing Zhang Lei Qu Xingtian, et al. Dynamic Modeling and Experiment of Angular Contact Ball Bearing[J].Transactions of the society for Agricultural Machinery,2012,43(6):215-225. (in Chinese)
[7] 姚廷强,王立华,迟毅林等.球轴承多体接触动力学研究[J].航空动力学学报,2013,28(7):1624-1637.
YAO Ting-qiang, WANG LI-hua, CHI Yi-lin et al. Research on multibody contact dynamics of ball bearings[J].Journal of Aerospace Power, ,2013,28(7):1624-1637. (in Chinese)
[8] 蔡力钢,杨勇,刘志峰等.定压预紧下角接触球轴承的动力学建模方法[J].北京工业大学学报,2014,40(5):667-673.
CAI Li-gang, YANG Yong, LIU Zhi-feng, et al. Dynamics Modeling Method for Angular Contact Ball Bearing Under Constant Preload[J]. Journal of Beijing University of Technology,2014,40(5):667-673. (in Chinese)
[9] Ankur Ashtekar, Farshid Sadeghi. Experimental and Analytical Investigation of High Speed Turbocharger Ball Bearings[J]. Journal of Engineering for Gas Turbines and Power. 2011,(12):122501-1225015.
[10] S. H. Upadhyay, S. C. Jain , S. P. Harsha. Chaotic Dynamics of High Speed Rotating Shaft Supported by Ball Bearings Due to Distributed Defects[J]. International Journal of Engineering Science and Technology. 2010,2(10):5746-5764.
[11] 刘秀海.高速滚动轴承动力学分析模型与保持架动态性能研究[D]:[博士学位论文].大连:大连理工大学, 2011.
LIU Xiu-hai. Dynamies analysis model of high-speed rolling bearing and dynamic performance of cages[D][PHD Thesis]. DA Lian:Dalian University of Technology,2011. (in Chinese)
[12] 陈渭,李军宁,张立波等.考虑涡动工况的高速滚动轴承打滑失效分析[J].机械工程学报,2013,49(6):38-43.
CHEN Wei LI Junning ZHANG Libo, et al. Skidding Analysis of High Speed Rolling Bearing Considering Whirling of Bearing[J]. Chinese Journal of Mechanical Engineering,2013,49(6):38-43. (in Chinese)
[13] 梁建波,谭晶,黄迪山等.波纹度对轴承保持架质心稳定性影响的仿真分析.轴承,2013,(7):5-8.
LIANG Jianbo，TAN Jing，HUANG Dishan et al. Simulation Analysis on Influence of Waviness on Stability for Mass Center of Bearing Cages.Bearing, 2013,(7):5-8.
[14] 邓四二,董晓,崔永存等.双列角接触球轴承动刚度特性分析[J].兵工学报,2015,36(6):1140-1146.
DENG Si-er,DONG Xiao,CUI Yong-cun, et al. Analysis of Dynamic Stiffness Characteristics of Double-row Angular Contact Ball Bearings[J]. Acta Armamentarii, 2015,36(6):1140-1146. (in Chinese)
[15] 姚廷强,谢伟,谭阳.角接触球轴承保持架柔性多体动力学分析.中国机械工程,2014,25(1):117-122.
YAO Tingqiang, XIE Wei, TAN Yang. Flexible Multibody Dynamics Analysis on Cage of Angular Contact Bearing. China Mechanical Engineering, 2014,25(1):117-122.
[16] Gupta P K. Advanced Dynamics of Rolling Elements[M]. Springer Verlag, New York, 1984.
[17] 王燕霜,杨伯原,王黎. 4109航空润滑油流变特性的分析及计算[J]. 润滑与密封. 2005,167(1):55-60.
WANG Yan-shuang, YANG Bo-yuan, WANG Li-qin. The study of rheological properties of aviation oil no:4109[J]. Lubrication Engineering,2005,167(1): 55-60. (in Chinese)
[18] 姚廷强,迟毅林,黄亚宇.柔性多体系统动力学新型广义-α数值分析方法[J]. 机械工程学报.2009,45(10):53-60.
YAO Ting-qiang, CHI Yi-lin, HUANG Ya-yu. A new generalized-α algorithms for multibody dynamics[J]. Chinese Journal of Mechanical Engineering, 2009,45(10):53-60. (in Chinese).
