基于滑移非理想赫兹接触的滚动轴承振动特性分析

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摘要传统方法对滚动轴承振动特性的分析大部分是基于理想赫兹接触理论，然而当轴承发生打滑，滚动体与滚道会出现滑移现象，因此滚动体与滚道的滑移接触问题超出了Hertz理论的假设范畴。针对这一问题，本文提出了滚动体与内、外滚道的滑移非理想赫兹接触，通过理论分析和接触有限元模型获得载荷-变形公式和变形系数；基于滑移非理想赫兹接触理论建立圆柱滚子轴承动力学模型，对比分析了赫兹和滑移接触对轴承振动特性的影响规律。研究表明，滑移接触下轴承振动信号存在滞后现象，在低速工况时，轴承振动水平相比赫兹接触的振动水平较高，而在高速工况中轴承振动水平相比较低；同时滑移非理想赫兹相较与赫兹理论，进一步考虑接触面相对滑移的作用，与轴承的实际工况更为贴近。

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	杨本梦

关键词 ：轴承, 滑移接触, 有限元, 动力学, 振动特性

Abstract：Most of the traditional methods to analyze the vibration characteristics of rolling bearing are based on the ideal Hertz contact theory. However, when the bearing slips, the sliding phenomenon will appear between the rolling element and the raceway. Therefore, the sliding contact problem between the rolling element and the raceway is beyond the hypothetical scope of Hertz theory. To solve this problem, the sliding non-ideal Hertzian contact between the rolling element and the inner or outer raceways is proposed in this paper. The load-deformation formula and deformation coefficient are obtained through theoretical analysis and contact finite element model; Based on the sliding non ideal Hertz contact theory, the dynamic model of cylindrical roller bearing is established, and the effects of Hertz and sliding contact on the vibration characteristics of bearing are compared and analyzed. The research shows that the vibration signal of bearing under sliding contact has hysteresis phenomenon. The vibration level of bearing is higher than that of Hertz contact at low speed, but lower at high speed; At the same time, compared with Hertz theory, the effect of relative sliding of contact surface is further considered, which is closer to the actual working condition of bearing.

Key words： bearing sliding contact finite element model dynamic model vibration characteristics

收稿日期: 2022-01-27 出版日期: 2023-03-15

引用本文:

涂文兵，张桂源，罗丫，陈超，梁杰，杨本梦. 基于滑移非理想赫兹接触的滚动轴承振动特性分析[J]. 振动与冲击, 2023, 42(5): 30-38.
TU Wenbing, ZHANG Guiyuan, LUO Ya, CHEN Chao, LIANG Jie, YANG Benmeng. Vibration characteristics analysis of rolling bearing based on sliding non-ideal Hertz contact. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(5): 30-38.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2023/V42/I5/30

[1] Shah D S, Patel V N. Theoretical and experimental vibration studies of lubricated deep groove ball bearings having surface waviness on its races[J]. Measurement, 2018, 129:405-423 .
[2] Alireza M A, Petersen D, Howard C. A nonlinear dynamic vibration model of defective bearings-The importance of modelling the finite size of rolling elements[J]. Mechanical Systems and Signal Processing,2015,52-53:309-326.
[3] 郑艳伟,邓四二,张文虎.圆柱滚子轴承合套参数对轴承振动特性影响分析[J]. 轴承, 2019, 03: 35-41+47.
Zheng Yanwei, Deng Sier, Zang Wenhu. Analysis on Influence of Fitting Parameters on Vibration Characteristics of Cylindrical Roller Bearing [J], Bearing,2019,03:35-41+47.
[4] Sunnersjö C S. Varying compliance vibrations of rolling bearings[J]. Journal of Sound and Vibration, 1978,58:363-373.
[5] Fukata S, Gad E H, Kondou T, et al. On the radial vibration of ball bearings[J]. Bulletin of the Jsme,1985,28:899-904.
[6] Lioulios A N,Antoniadis I A. Effect of rotational speed fluctuations on the dynamic behaviour of rolling element bearings with radial clearances[J]. International Journal of Mechanical Sciences, 2006, 48(8):809-829.
[7] 常斌全,剡昌锋,苑浩,等.多事件激励的滚动轴承动力学建模[J]. 振动与冲击, 2018, 37(17): 16-24.
Chang Binquan, Yan Changfeng, Yuan Hao, et al. Dynamic modeling for rolling bearings under multi-event excitation[J]. Journal of Vibration and Shock.2018,37(17):16-24.
[8] 余光伟,方党生,蔡翔宇,等.波纹度波数对深沟球轴承振动特性的影响[J].轴承,2021,04:18-22.
Yu Guangwei, Fang Dangsheng, Cai Xiangyu, et al. Influence of Waviness Wave Number on Vibration Characteristics of Deep Groove Ball Bearing[J]. Bearing, 2021, 04:18-22.
[9] Liu J,Shao Y. Vibration modelling of nonuniform surface waviness in a lubricated roller bearing[J]. Journal of Vibration and Control, 2017, 23(7):1115-1132.
[10] Liu J, ShaoY. A new dynamic model for vibration analysis of a ball bearing due to a localized surface defect considering edge topographies[J]. Nonlinear Dynamics, 2015,79(2):1329-1351.
[11] Liu J,Shao Y. A numerical investigation of effects of defect edge discontinuities on contact forces and vibrations for a defective roller bearing[J]. Proceedings of the Institution of Mechanical Engineers Part K Journal of Multi-body Dynamics, 2016,230(4):387-400.
[12] Liu J, Shao Y. An improved analytical model for a lubricated roller bearing including a localized defect with different edge shapes[J]. Journal of Vibration and Control,2018,24(17):3894-3907.
[13] Liu J, Shi Z, Shao Y. A numerical investigation of the plastic deformation at the spall edge for a roller bearing[J].Engineering Failure Analysis, 2017,80:263-271.
[14] Liu J,Shi Z,ShaoY, Xiao H. Effects of spall edge profiles on the edge plastic deformation for a roller bearing[J]. Proceedings of the Institution of Mechanical Engineers Part L Journal of Materials Design and Applications, 2019,233(5): 850-861.
[15] Han Q,Ding Z,Xu X,et al. Stator current model for detecting rolling bearing faults in induction motors using magnetic equivalent circuits[J]. Mechanical Systems and Signal Processing, 2019,131:554-575.
[16] 宋传冲,南国防,楼剑阳.滚动轴承-裂纹转子系统动力学特性分析[J].噪声与振动控制,2021,41(06):56-62.
Song Chuanchong, Nan Guofang, Lou Jianyang. Analysis of Dynamic Characteristics of Cracked Rotor System Supported by Rolling Bearings[J]. NOISE AND VIBRATION CONTROL,2021,41 (06):56-62.
[17] Tu W, Yu W, Shao Y, et al. A nonlinear dynamic vibration model of cylindrical roller bearing considering skidding[J]. Nonlinear Dynamics, 2021,103:2299-2313.
[18] Kalker J J. Three-Dimensional Elastic Bodies in Rolling Contact[M]. Springer, Dordrecht, 1990.
[19] 涂文兵. 滚动轴承打滑动力学模型及振动噪声特征研究[D].重庆大学,2012.
Tu Wenbing.Skidding Dynamic Model of Rolling Element Bearing and Features of Vibration and Noise [D]. CHONGQING UNIVERSITY,2012.
[20] Palmgren A.Ball and Roller Bearing Engineering [M].Industries,1946.
[21] 刘宁,张钢,高刚,等.基于ANSYS的圆柱滚子轴承有限元应力分析[J].轴承,2006,12:8-10.
Liu Ning, Zhang Gang, Gao Gang,et al. Finite element stress analysis of cylindrical roller bearing based on ANSYS [J]. Bearing, 2006, 12: 8-10.
[22] 刘静. 滚动轴承缺陷非线性激励机理与建模研究[D].重庆大学,2014.
LIU Jing. Nonlinear Vibration Mechanisms and Modeling of Defects in Rolling Element Bearings [D]. CHONGQING UNIVERSITY, 2014.
[23] 黄志刚,许玢. ANSYS 19.0有限元分析完全自学手册[M].人民邮电出版社, 2019.
Huang Zhigang, Xu Fen. ANSYS 19.0 finite element analysis complete self-study manual[M]. Posts and Telecom Press, 2019.
[24] Harsha S P. Nonlinear dynamic analysis of an unbalanced rotor supported by roller bearing[J]. Chaos Solitons & Fractals,2005,26(1):47-66.
[25] Jones A B.A General Theory for Elastically Constrained Ball and Radial Roller Bearings Under Arbitrary Load and Speed Conditions [J]. Trans Asme, 1960, 82(2):309.
[26] Jiang Y, Huang W, Luo J, et al. An improved dynamic model of defective bearings considering the three dimensional geometric relationship between the rolling element and defect area[J]. Mechanical Systems and Signal Processing, 2019, 129:694-716.
[27] 邓四二,贾群义,薛进学.滚动轴承设计原理[M].中国标准出版社, 2014.
Deng Sier, Jia Qunyi, Xue Jinxue.Design principle of rolling bearing[M]. China Standards Press, 2014.