宽温域下陶瓷轴承外圈与轴承座之间配合间隙发生变化,同时转子质量对轴特别是细长轴会产生挠度影响,导致轴与轴承接触处力的边界条件发生变化,对轴承性能有很大影响。本文建立一种考虑挠度变化对宽温域内轴承转子系统影响的动力学模型,将轴承座与陶瓷轴承的热变形分别计算,并将不同温度下配合间隙作为边界条件,最后引入挠度因素改变轴与轴承接触处力的边界条件,来对全陶瓷球轴承动态特性进行求解。考虑轴承工作温度以及转轴挠度变化,对全陶瓷球轴承外圈振动情况展开参数化研究,并结合实验手段对模型精度加以验证。结果表明,挠度的产生使宽温域内全陶瓷轴承径向竖直正方向振动幅值减小,导致系统运行不稳定。研究结果对全陶瓷轴承动力学分析提供参考,并为提高陶瓷轴承转子系统稳定性提供理论依据。
Abstract
The fit clearance between the ceramic bearing outer ring and the bearing pedestal changes greatly in wide temperature ranges, and the shaft deflection caused by the rotor mass makes significant impacts on the motion of the shaft, especially when the shaft is long and slender. Then the load boundary conditions between the shaft and the bearing changes obviously, which has great influence on the bearing running performance. In this paper, a dynamic model considering the influence of deflection on the bearing rotor system in a wide temperature range is proposed, in which the thermal deformations of the pedestal and bearing are calculated separately as geometric boundary conditions. The shaft deflection is then considered to determine the contact forces between the inner ring and the shaft, and the dynamic characteristics of the ceramic bearing rotor system is thereby obtained. Parametric studies are carried out on the vibration situations of the full ceramic ball bearing considering the impacts brought by working temperature and shaft deflection, and the results are verified through experimental investigations. Results show that the shaft deflection leads to reductions in positive amplitudes of full ceramic ball bearing in wide temperature ranges, which results in unstable running of the system. The research results provide references for the dynamic analysis of full ceramic ball bearing, and also lay theoretical foundations for the improvement of the ceramic bearing rotor system stability.
关键词
全陶瓷轴承 /
动力学模型 /
配合间隙 /
挠度
{{custom_keyword}} /
Key words
Full ceramic bearing /
Dynamic model /
Fit clearance /
Deflection
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] Shi H T, Bai X T. Model-based uneven loading condition monitoring of full ceramic ball bearings in starved lubrication[J]. Mechanical Systems and Signal Processing, 2020, 139:106583.
[2] Yan H, Wu Y, Li S, et al. Research on sound field characteristics of full-ceramic angular contact ball bearing[J]. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2020, 42(6):1-16.
[3] Bai X, Shi H, Zhang K, et al. Effect of the fit clearance between ceramic outer ring and steel pedestal on the sound radiation of full ceramic ball bearing system[J]. Journal of Sound and Vibration, 2022, 529:116967.
[4] Xia Z, Wu Y, Ma T, et al. Experimental study on adaptability of full ceramic ball bearings under extreme conditions of cryogenics and heavy loads[J]. Tribology International, 2022, 175:107849.
[5] 牛荣军, 洛瑞东, 王玉飞, 等. 考虑磨损影响的角接触球轴承动力学特性研究[J]. 振动与冲击,2022, 41(18):84-93.
Niu Rong-jun, Luo Rui-dong, Wang Yu-fei, et al. Study on Dynamic Characteristics of Angular Contact Ball Bearing Considering the Effect of Wear [J] Journal of Vibration and Shock, 2022, 41 (18):84-93
[6] 雷春丽, 刘凯, 宋瑞哲, 等. 考虑热效应的局部缺陷角接触球轴承动态特性研究[J]. 振动与冲击,2022, 41(18):33-40.
Lei Chun-li, Liu Kai, Song Rui-zhe, et al. Study on Dynamic Characteristics of Angular Contact Ball Bearing with Local Defects Considering Thermal Effect [J]. Journal of Vibration and Shock, 2022,41 (18):33-40.
[7] Shi, Huaitao, et al. Investigation of the orbit-spinning behaviors of the outer ring in a full ceramic ball bearing-steel pedestal system in wide temperature ranges[J]. Mechanical Systems and Signal Processing,2021,149:1-18.
[8] 靳岚, 芮执元, 蒋海元, 等. 考虑接触参数与摩擦生热交互影响的高速角接触球轴承温升预测研究[J]. 机械工程学报,2021,57(07):61-67.
Jin Lan, Rui Zhi-yuan, Jiang Hai-yuan, et al. Temperature Rise Prediction of High Speed Angular Contact Ball Bearing Considering the Interaction of Contact Parameters and Friction Heat Generation[J] Chinese Journal of Mechanical Engineering, 2021,57 (07):61-67.
[9] Bizarre L, Notato F, Cavalca K F. Formulation of five degrees of freedom ball bearing model accounting for the nonlinear stiffness and damping of elastohydrodynamic point contacts[J]. Mechanism and Machine Theory, 2018, 124:179-196.
[10] HAN Q K, CHU F L. Nonlinear dynamic model for skidding behavior of angular contact ball bearings[J]. Journal of Sound and Vibration, 2015, 354:219-235.
[11] Bai X T, Wu Y H, Rosca I C, et al. Investigation on the effects of the ball diameter difference in the sound radiation of full ceramic bearings [J]. Journal of Sound and Vibration, 2019, 450:231-250.
[12] 高源, 安琦. 轴承座同心度误差对深沟球轴承-转子系统振动性能的影响[J]. 华东理工大学学报:自然科学版, 2019, 45(3):498-506.
Gao Yuan, An Qi Effect of concentricity error of bearing pedestal on vibration performance of deep groove ball bearing rotor system [J] Journal of East China University of Science and Technology: Natural Science Edition, 2019, 45 (3):498-506.
[13] Phadatare H P, Pratiher B. Large deflection model for rub-impact analysis in high-speed rotor-bearing system with mass unbalance[J]. International Journal of Non-Linear Mechanics, 2021, 132(9):Article 103702.
[14] Phadatare H P, Pratiher B. Nonlinear modeling, dynamics, and chaos in a large deflection model of a rotor–disk–bearing system under geometric eccentricity and mass unbalance[J]. Acta Mechanica, 2020, 231(3):907-928.
[15] Phadatare H P, Maheshwari V, Vaidya K S, et al. Large deflection model for nonlinear flexural vibration analysis of a highly flexible rotor-bearing system[J]. International Journal of Mechanical Sciences, 2017, 134:532-544.
[16] Gao Y, Li Z, Wang J, et al. Influences of bearing housing deflection on vibration performance of cylinder roller bearing–rotor system[J]. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 2013, 227(2):106-114.
[17] Chen G,QU M J. Modeling and analysis of fit clearance between rolling bearing outer ring and housing[J]. Journal of Sound and Vibration, 2019, 438:419-440.
[18] Zhou X W,ZHANG H,HAO X,et al. Investigation on thermal behavior and temperature distribution of bearing inner and outer rings[J]. Tribology International, 2019, 130:289-298.
[19] Shi H T, Bai X T. Model-based uneven loading condition monitoring of full ceramic ball bearings in starved lubrication[J]. Mechanical Systems and Signal Processing, 2020, 139:106583.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}