Dynamic analysis of an equivalent time-varying stiffness system for local faults of rolling bearing

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Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (9) : 241-248.

GUO Baoliang1, ZHAO Yuxiu2, SHI Lichen1, LI Ling1, DUAN Zhishan1

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Abstract

In response to the dynamic modeling problem of local faults in rolling bearings, by analyzing the changes of each rolling element when entering, exiting the load zone and falling into the fault position, based on Hertz contact theory, the contact deformation retention factor is defined, the equivalent time-varying stiffness function of rolling bearings is proposed, and a single degree of freedom with time-varying stiffness dynamic model of local fault rolling bearings is established. Theoretical analysis and experimental research are conducted. The research results indicate that when the rolling element enters or exits the load zone, the number of load-carrying rolling elements in the load zone increases or decreases, causing a small increase or decrease in the equivalent time-varying stiffness of the system; when the rolling element falls into the fault position, the effective contact stiffness decreases to different degrees due to different contact deformation retention factors, which leads to a decrease in the equivalent time-varying stiffness of the system. The change of the equivalent time-varying stiffness of the system causes the contact deformation and contact force of other rolling elements in the load zone to change in different magnitudes, thus balancing the external radial load. The impact on the rolling elements near the center of the load zone is more obvious, but it does not affect the effective contact stiffness of each rolling element. An abrupt change in the equivalent time-varying stiffness of the system occurs, leading to system vibration. When the outer ring fails, the equivalent time-varying stiffness varies equally. When the inner ring malfunctions, the change in equivalent time-varying stiffness is modulated by the rotation of the inner ring and the amplitude is different. The proposed single degree of freedom time-varying stiffness dynamic model is more in line with reality.

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rolling bearing / local faults / dynamic / equivalent time-varying stiffness

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GUO Baoliang1, ZHAO Yuxiu2, SHI Lichen1, LI Ling1, DUAN Zhishan1. Dynamic analysis of an equivalent time-varying stiffness system for local faults of rolling bearing[J]. Journal of Vibration and Shock, 2024, 43(9): 241-248

References

[1] CHE Changchang, WANG Huawei, XIONG Minglan, et al. Few-shot fault diagnosis of rolling bearing under variable working conditions based on ensemble meta-learning[J].Digital Signal Processing,131 (2022) 103777. [2] 陈仁祥,唐林林,胡小林,等.不同转速下基于深度注意力迁移学习的滚动轴承故障诊断方法[J].振动与冲击, 2022, 41(12): 95-101,195. CHEN Renxiang, TANG Linlin, HU Xiaolin, et al. A rolling bearing fault diagnosis method based on deep attention transfer learning at different rotations [J]. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(12): 95-101,195. [3] HUANG Yajing, LIAO Aihua, HU Dingyu, et al. Multi-scale convolutional network with channel attention mechanism for rolling bearing fault diagnosis[J].Measurement,203 (2022) 111935. [4] 吴超,崔玲丽,张建宇,等. 改进MBCV法在滚动轴承故障诊断中的应用[J].振动工程学报, 2022, 35(4): 942-948. WU Chao, CUI Lingli, ZHANG Jianyu, et al. Fault diagnosis method of rolling bearing based on improved MBCV method [J]. Journal of Vibration Engineering, 2022, 35(4): 942-948. [5] LIU Jing, SHAO Yimin. Overview of dynamic modelling and analysis of rolling element bearings with localized and distributed faults[J]. Nonlinear Dyn, 2018,93 (4):1765–1798. [6] 李志农,李云龙,任帅,等. 局部点蚀故障滚动体的滚动轴承动力学模型研究[J].振动工程学报, 2020, 33(3): 597-603. LI Zhinong, LI Yunlong, REN Shuai, et al. Research on dynamic model of rolling bearing with local pitting fault in rolling bearing elenemt [J]. Journal of Vibration Engineering, 2020, 33(3): 597-603. [7] QIN Yi, CAO Fulin, WANG Yi, et al. Dynamics modelling for deep groove ball bearings with local faults based on coupled and segmented displacement excitation[J]. Journal of Sound and Vibration,2019,447:1-19. [8] 刘静,师志峰,邵毅敏.考虑局部故障边缘形态的球轴承振动特征[J].振动、测试与诊断, 2017, 37(4):807-813,848. LIU Jing, SHI Zhifeng, SHAO Yimin. An Investigation of Vibration Characteristics of a Ball Bearing with a Localized Defict Considering Different Edge Shapes [J]. Journal of Vibration Engineering, 2017, 37(4) :807-813,848. [9] 刘倩楠，郭瑜，伍星. 滚动轴承外圈剥落故障双冲击特征机理建模[J].振动工程学报, 2017, 30(4): 670-678. LIU Qiannan, GUO Yu, WU Xing. Mechanism modeling of the double-inpulses phenomenon of a spall defect on a rolling element bearing outer race[J]. Journal of Vibration Engineering, 2017, 30(4): 670-678. [10] LUO Maolin, GUO Yu, ANDRE Hugo, et al.Dynamic modeling and quantitative diagnosis for dual-impulse behavior of rolling element bearing with a spall on inner race [J]. Mechanical Systems and Signal Processing,158(2021)107711. [11] JIANG Yunchuan, HUANG Wentao, LUO Jianing , 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. [12] 胡爱军,许莎,向玲,等.滚动轴承外圈多点故障特征分析[J].机械工程学报, 2020, 56(21): 110-120. HU Aijun, XU Sha, XIANG Ling, et al.Characteristic Analysis of Multi-point Faults on the Outer Race of Rolling Element Bearing[J]. JOURNAL OF MECHANICAL ENGINEERING, 2020, 56(21): 110-120. [13] CUI Lingli, ZHANG Yu, ZHANG Feibin, et al. Vibration response mechanism of faulty outer race rolling element bearings for quantitative analysis[J].Journal of Sound and Vibration, 2016,364:67–76. [14] WU Renqiong, WANG Xiufeng, NI Zexing, et al. Dual-impulse behavior analysis and quantitative diagnosis of the raceway fault of rolling bearing[J]. Mechanical Systems and Signal Processing, 169 (2022) 108734. [15] Dick Petersen, Carl Howard, Nader Sawalhi, et al. Analysis of bearing stiffness variations contact forces and vibrations in radially loaded double row rolling element bearings with raceway defects[J].Mechanical Systems and Signal Processing,2015,50-51:139–160. [16] T A Harris, M N Kotzalas. 滚动轴承分析(第五版)[M]. 罗继伟,马伟,等译. 北京: 机械工业出版社, 2011. T A Harris, M N Kotzalas. Rolling Bearing Analysis(Fifth edition)[M]. Luo Jiwei,Ma Wei,et al.transfer. Beijing: China Machine Press,2011. [17]https://engineering.case.edu/bearingdatacenter/apparatus-and-procedures