Dynamic Analysis of Angular Contact Ball Bearing-rotor System during Start up and Shut Down

doi:10.3901/JME.2018.09.009

Abstract

Abstract: Angular contact ball bearing significantly affects the performance of bearing-rotor system. A dynamic model for bearing-rotor system is established with comprehensive consideration of interactions between bearing elements. The traction force between ball and raceways is evaluated based on elastohydrodynamic lubrication theory; the interaction between ball and cage is modeled as the compression of spring with high rigidness, while Petroff's bearing model is utilized to calculate the friction force between guiding ring and cage. The dynamic model is efficiently solved based on the fourth order Runge-Kutta algorithm. The effects of lubricant density and viscosity, guide mode of cage and axial preload on the process of startup and stop are investigated based on the developed dynamic model. The results show that, the lubricant with high density and viscosity will delay the startup process but accelerate the shutdown process; inner ring guide mode will make the startup process of bearing slow; when the axial preload is not large enough, there is sever skidding between ball and raceways during startup and steady state running process.

Key words: angular contact ball bearing, dynamic model, process of startup and stop

CLC Number:

TG156

WANG Yunlong, WANG Wenzhong, QING Tao, ZHANG Shaohua. Dynamic Analysis of Angular Contact Ball Bearing-rotor System during Start up and Shut Down[J]. Journal of Mechanical Engineering, 2018, 54(9): 9-16.

References

[1] JONES A B. Ball motion and sliding friction in ball bearings[J]. Trans. ASME J. Basic Eng., 1959, 81(1):1-12.
[2] JONES A B. A general theory for elastically constrained ball and radial roller bearings under arbitrary load and speed conditions[J]. J. Fluids Eng., 1960, 82:309-320.
[3] HARRIS T A. An analytical method to predict skidding in thrust loaded, angular-contact ball bearings[J]. ASME J. Lubr. Technol., 1971, 93(1):17-23.
[4] POPLAWSKI J V. Slip and cage forces in a high-speed roller bearing[J]. Journal of Lubrication Technology, 1972(4):143-152.
[5] WALTERS C T. The dynamics of ball bearings[J]. ASME Journal of Lubrication Technology, 1971, 93:1-10.
[6] GUPTA P K. Dynamic of rolling-element bearings-Part Ⅲ:Ball bearing analysis[J]. Trans. of ASME, 1979, 101(3):312-318.
[7] POPLAWSIKI J V, MAURIELLO A. Skidding in lightly loaded, high-speed ball thrust bearings[J]. Mechanical Engineering, 1969, 91(10):1.
[8] SHAO Yimin, TU Wenbing, CHEN Zaigang, et al. Investigation on skidding of rolling element bearing in loaded zone[J]. J Harbin Inst Technol (New Series), 2013, 20(1):34-41.
[9] CHEN Jin, LIU Jing, SHAO Yimin, et al. Vibration modeling of lubricated rolling element bearing considering skidding in loaded zone[J]. Journal of Failure Analysis and Prevention, 2014, 14:809-817.
[10] WANG Yunlong, WANG Wenzhong, ZHANG Shengguang, et al, Investigation of skidding in angular contact ball bearings under high speed[J]. Tribology International, 2015, 92:404-417.
[11] HARRIS T A. Rolling element bearing dynamics[J]. Wear, 1973, 23:311-337.
[12] CROOK A W. The lubrication of rollers Ⅲ:A theoretical discussion of friction and the Temperatures in the oil film[J]. Phil. Trans. Roy. Soc. London. Series A, Mathematical and Physical Sciences, 1961, 254(1040):237-258.

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