Ball bearing dynamics considering outer ring deformation and housing support

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Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (18) : 42-56.

YAO Tingqiang，XUE Xianglu，HAN Jiaxuan，WANG Lihua，LIU Xiaobao

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Abstract

The elastic deformation of the outer ring and the matching support characteristics of the flexible outer ring and the housing have an important effect on the dynamic performance of the bearing and its system under the conditions of high speed, heavy load or thin-walled ball bearings. The equivalent mechanical model of the flexible outer ring is established by using the equivalent rigid body element and Timoshenko beam element. The dynamic contact relationship between the ball and the raceway surface of the flexible outer ring, and between the flexible outer ring and the bearing housing is considered. The multi-body contact dynamic models of ball bearing considering elastic deformation of outer ring and bearing housing support are established. The influence of outer ring’s elastic deformation and bearing housing support on load distribution and dynamic fit characteristics of bearings was calculated and analyzed by using generalized-α method. The dynamic force, load distribution angle and relative displacement of ball bearings under different fit clearance, internal clearance, outer ring thickness and radial force were obtained. The results show that when the outer ring increases to a certain thickness, the load distribution inside the ball bearing is in good agreement with the rigid ring theory, and the supporting contact area between the rigid outer ring and the rigid bearing housing is relatively small. As the thickness of the flexible outer ring decreases, the supporting contact force between the flexible outer ring and the bearing housing gradually changes from a smooth curve law to a typical dynamic change law of multi-point extremum and non-smooth distribution, and the difference of adjacent extremum increases obviously with the decrease of the wall thickness of the outer ring, and the increase of fit clearance, internal clearance and radial force. With the increase of fit clearance or internal clearance, the load distribution range and the supporting contact area of bearing housing of ball bearing decreases accordingly. Under different fit clearance, internal clearance or radial load, the thin-walled outer ring is more likely to have different forms of structural elastic deformation, such as compression, expansion, stretching or flattening. The proposed dynamic model provides a new method for dynamic research and design of rolling bearing and its systems.

Key words

Flexible outer ring / Bearing housing / Fit clearance / Ball bearing / Multibody dynamics

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YAO Tingqiang, XUE Xianglu, HAN Jiaxuan, WANG Lihua, LIU Xiaobao. Ball bearing dynamics considering outer ring deformation and housing support[J]. Journal of Vibration and Shock, 2024, 43(18): 42-56

References

[1] 王东峰,赵翀,李超强等. 滚动轴承设计技术研究现状及发展趋势[J].轴承,2023(5):1-6.
Wang Dongfeng, Zhao Chong, Chaoqiang, et al. Reseach status and development trends of design technology for rolling bearings[J]. Bearing,2023(5):1-6.
[2] 王黎钦.滚动轴承的极限设计[M].哈尔滨: 哈尔滨工业出版社, 2013.
Wang Liqin. Design and numerical analysis for rolling element bearings for extreme applications[M]. Harbin: Harbin Industry Press,2013.
[3] 李松生, 杨柳欣, 张钢. 高速轴系球轴承-转子系统动力学的研究与发展[J].轴承,2005,(4):34-37.
LI Song-sheng, YANG Liu-xing, ZHANG Gang. Research and development on dynamics of high speed ball bearings-spindle systems [J]. Bearing,2005,4:34-37.
[4] 毛宇泽. 结构弹性对航空发动机薄壁滚子轴承承载特性影响的研究[D].哈尔滨:哈尔滨工业大学,2019.
Mao Yuze. Study on the effect of structural elasticity of load distribution of aeroengine thin-walled roller bearing. Harbin: Harbin Institute of Technology,2019.
[5] Harris T. A. Rolling bearing anaysis. Inc.: New York, NY, USA: John Wiley & Sons; 2007.
[6] Jones A. B, Harris T. A. Analysis of a Rolling-Element Idler Gear Bearing Having a Deformable Outer-Race Structure[J]. Journal of Fluids Engineering, 1963, 85(2).
[7] Broschard, J. Analysis of an improved planetary gear transmission bearing[J]. Journal of Fluids Engineering. 1964, 83(3), 457-461.
[8] Shen Y, Zhang T. Vibration analysis of flexible rolling bearing. Mech Sci Technol Aerosp Eng 1995(5):1-6 .
[9] Wensing J. A. On the dynamics of ball bearings[D]. Enschede: University of Twente.1998.
[10] Iakov Nakhimovski. Modeling and Simulation of Contacting Flexible Bodies in Multibody Systems[D]. LINKÖPINGS UNIVERSITET.2002.
[11] Cavallaro, G., Nelias, D., and Bon, F., 2005, Analysis of High-Speed Intershaft Cylindrical Roller Bearing With Flexible Rings[J].Tribology Transactions,48(2):154-164.
[12] Defaye C, Nelias D , Bon F . Analysis of high-speed cylindrical roller bearing with flexible rings mounted in a squeeze film damper[C]. ASME/STLE 2007 inter-national joint tribology conference. American society of mechanical engineers,2007:387-396.
[13] Nelias D. Theoretical analysis of high-speed cylindrical roller bearing with flexible rings mounted in a squeeze film damper[ J ].Tribology Transactions,2008,51(6):762-70.
[14] Leblanc, A., Nélias, D., and Defaye, C., “Nonlinear dynamic analysis of cylindrical roller bearing with flexible rings,” Journal of Sound and Vibration, 2009,325(1-2):145-160.
[15] Lacroix, S, Nelias, D, Leblanc, A. Four point contact ball bearing model with deformable rings[J]. Journal of Tribology,2013,135(7):031402-1-8.
[16] Mao Yuze, Wang Liqin, Zhang Chuanwei. Study on the Load Distribution and Dynamic Characteristics of a Thin-Walled Integrated Squirrel-Cage Supporting Roller Bearing. Appied sciences. 2016,6(12):415.
[17] Mao Yuze, Wang Liqin, Zhang Chi. Influence of ring deformation on the dynamic characteristics of a roller bearing in clearance fit with housing. International Journal of Mechanical Sciences, 2018,38:122-130.
[18] Sun Xue, Deng Sier, Chen Guoding, Zhang Wenhu. Calculation and Analysis of Groove Elastic Support's Radial Stiffness. International Journal of Engineering(IJE), TRANSACTION A: Basics,2017,30(7): 1066-1073.
[19] 孙雪,邓四二,陈国定,等.弹性支承下的高速圆柱滚子轴承振动特性研究[J].振动与冲击, 2017, 36(18):20-28.
SUN Xue, DENG Sier, CHEN Guoding, Zhang Wenhu. Vibration characteristics analysis of high-speed cylindrical roller bearings with elastic supports. Journal of vibration and shock,2017,36: 20-28.
[20] Sun Xue, Zhang Wenhu, Tian Heng. Theoretical analysis of cylindrical roller bearing with flexible rings mounted in groove elastic support[J]. Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2020,14(7):1-16.
[21] Yao T, Chi Y, Huang Y. Research on flexibility of bearing rings for multibody contact dynamics of rolling bearings. Procedia Eng,2012;31:586-94.
[22] Shu Ju, Wang Liqin, Mao Yuze, et al. Iterative FEA Method for Load Distribution of Flexible Supporting Thin-section Ball Bearing. Journal of Harbin institute of technology, 2015,22(1):9-14.
[23] 姚廷强,王立华,刘孝保等.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 Tingqian，WANG Lihua，LIU Xiaobao，et al.Dynamic stability analysis on the cage of ball bearing under varying working environment[J]. JOUＲNAL OF VIBＲATION AND SHOCK,2016,35(18):172-180.
[24] 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.
[25] 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.