故障诊断技术在航空航天领域中的应用专栏

考虑时变激励的滚动轴承局部故障动力学建模

  • 李昊泽 ,
  • 贺雅 ,
  • 冯坤 ,
  • 江志农 ,
  • 冯飞飞
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  • 1. 北京化工大学 发动机健康监控及网络化教育部重点实验室, 北京 100029;
    2. 北京化工大学 高端机械装备健康监控与自愈化北京市重点实验室, 北京 100029;
    3. 国营川西机器厂, 成都 611900

收稿日期: 2020-12-28

  修回日期: 2021-03-10

  网络出版日期: 2021-04-27

基金资助

国家重点研发计划(2017YFC0805702)

Dynamic modeling of rolling bearing local fault considering time-varying excitation

  • LI Haoze ,
  • HE Ya ,
  • FENG Kun ,
  • JIANG Zhinong ,
  • FENG Feifei
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  • 1. Key Laboratory of Engine Health Monitoring-Control and Networking of Ministry of Education, Beijing University of Chemical Technology, Beijing 100029, China;
    2. Beijing Key Laboratory of Health Monitoring and Self-Recovery for High-end Mechanical Equipment, Beijing University of Chemical Technology, Beijing 100029, China;
    3. State-owned Sichuan West Machine Factory, Chengdu 611900, China

Received date: 2020-12-28

  Revised date: 2021-03-10

  Online published: 2021-04-27

Supported by

National Key Research and Development Program of China (2017YFC0805702)

摘要

滚动轴承局部故障的动力学建模是研究轴承故障机理的一种常用手段,其中滚动体经过故障区域时存在复杂的接触过程,因而局部故障激励函数的准确性直接影响整个动力学模型的准确性。然而由于局部故障激励与轴承故障尺寸、轴承转速等条件相关,现有的单一简化激励函数难以准确反映滚动体与故障的实际接触情况。因此,以轴承外圈故障为研究对象,首先,详细分析了滚动体经过故障区域时的接触间隙变化,建立了与滚动体相对位置相关的时变位移激励函数。然后,根据滚动体与故障边缘接触产生的撞击力作用,提出了一种虑及故障尺寸和轴承转速的瞬时撞击力激励函数。在刚性套圈假设和Hertz接触理论的指导下,基于上述激励函数建立了圆柱滚子轴承外圈局部故障的动力学模型,并利用实测信号验证了本文所建立模型的准确性。最后,利用该动力学模型分析研究了故障尺寸对一维及多维轴承振动特征的影响规律,以指导实际应用中滚动轴承的状态评估。

本文引用格式

李昊泽 , 贺雅 , 冯坤 , 江志农 , 冯飞飞 . 考虑时变激励的滚动轴承局部故障动力学建模[J]. 航空学报, 2022 , 43(8) : 625176 -625176 . DOI: 10.7527/S1000-6893.2021.25176

Abstract

Establishing a dynamic model of rolling bearing local fault is a common method to study the mechanism of rolling bearing fault. There are complex contact processes when rolling elements pass through the fault area. The accuracy of the local fault excitation function directly affects the accuracy of the entire dynamic model. However, because local fault excitation is related to the bearing fault size, bearing speed and other conditions, the existing single simplified excitation function cannot accurately reflect the actual contact between the rolling element and the fault. Therefore, this article investigates the bearing outer ring fault. First, the change of contact gap of the rolling element passing through the fault area is analyzed, and the time-varying displacement excitation function related to the relative position of rolling element is established. Then, according to the impact force generated by the contact between the rolling element and the fault edge, an instantaneous impact force excitation function that takes into account the size of the fault and bearing speed is proposed. Under the guidance of the rigid ring hypothesis and Hertz contact theory, a dynamic model for the local fault of cylindrical roller bearing outer ring is established based on the above excitation function. The accuracy of the model is verified by the measured signal. Finally, the model is used to analyze the influence of fault size on vibration characteristics of one-and multi-dimensional bearings, thereby providing some guidance for state evaluation of rolling bearings in practical application.

参考文献

[1] 尉询楷, 杨立, 刘芳. 航空发动机预测与健康管理[M]. 北京: 国防工业出版社, 2014. WEI X K, YANG L, LIU F. Aeroengine prognostics and health management[M]. Beijing: National Defense Industry Press, 2014 (in Chinese).
[2] 陈果, 贺志远, 尉询楷, 等. 基于整机的中介轴承外圈剥落故障振动分析[J]. 航空动力学报, 2020, 35(3): 658-672. CHEN G, HE Z Y, WEI X K, et al. Vibration analysis of peeling fault of intermediate bearing outer ring based on whole aero-engine[J]. Journal of Aerospace Power, 2020, 35(3): 658-672 (in Chinese).
[3] SINGH S, HOWARD C Q, HANSEN C H. An extensive review of vibration modelling of rolling element bearings with localised and extended defects[J]. Journal of Sound & Vibration, 2015, 357(4): 300-330.
[4] 曹宏瑞, 景新, 苏帅鸣, 等. 中介轴承故障动力学建模与振动特征分析[J]. 机械工程学报, 2020, 56(21): 89-99. CAO H R, JING X, SU S M, et al. Dynamic modeling and vibration analysis for inter-shaft bearing fault[J]. Journal of Mechanical Engineering, 2020, 56(21):89-99 (in Chinese).
[5] JIANG Z, HU M, FENG K, et al. Weak fault feature extraction scheme for intershaft bearings based on linear prediction and order tracking in the rotation speed difference domain[J]. Applied Sciences, 2017, 7(9):737.
[6] MCFADDEN P D, SMITH J D. Model for the vibration produced by a single point defect in a rolling element bearing[J]. Journal of Sound & Vibration, 1984, 96(1): 69-82.
[7] MCFADDEN P D, SMITH J D. The vibration produced by multiple point defects in a rolling element bearing[J]. Journal of Sound & Vibration, 1985, 98(2): 263-273.
[8] 张中民, 张英堂. 滚动轴承故障振动模型及其应用研究[J]. 华中科技大学学报(自然科学版), 1997, 25(3): 50-53. ZHANG Z M, ZHANG Y T. A model for the vibration produced by local faults in roller bearing and its application[J]. Journal of Huazhong University of Science and Technology (Natural Science Edition), 1997, 25(3): 50-53 (in Chinese).
[9] 张耀强, 陈建军, 唐六丁, 等. 考虑外圈局部缺陷的滚动轴承非线性动力特性[J]. 航空学报, 2009, 30(4): 751-756. ZHANG Y Q, CHEN J J, TANG L D, et al. Nonlinear dynamic characteristics of rolling element bearing with localized defect on outer ring[J]. Acta Aeronautica et Astronautica Sinica, 2009, 30(4): 751-756(in Chinese).
[10] 曹冲锋, 宋京伟, 王秋红. 滚动轴承外圈局部故障的动态特性及计算机仿真[J]. 华东交通大学学报, 2005, 22(2): 123-126. CAO C F, SONG J W, WANG Q H. Dynamic characteristics for the part fault of outer race in a ball bearing and computer simulation[J]. Journal of East China Jiaotong University, 2005, 22(2): 123-126(in Chinese).
[11] 陈果. 转子-滚动轴承-机匣耦合系统中滚动轴承故障的动力学分析[J]. 振动工程学报, 2008, 21(6): 577-587. CHEN G. Dynamic analysis of ball bearing faults in rotor-ball bearing-stator coupling system[J]. Journal of Vibration Engineering, 2008, 21(6): 577-587(in Chinese).
[12] PATIL M S, MATHEW J, RAJENDRAKUMAR P K, et al. A theoretical model to predict the effect of localized defect on vibrations associated with ball bearing[J]. International Journal of Mechanical Sciences, 2010, 52(9): 1193-1201.
[13] LIU J, SHI Z, SHAO Y. An analytical model to predict vibrations of a cylindrical roller bearing with a localized surface defect[J]. Nonlinear Dynamics, 2017, 89(3): 2085-2102.
[14] 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. LIU J, SHI Z F, SHAO Y M. An investigation of vibration characteristics of a ball bearing with a localized defect considering different edge shapes[J]. Journal of Vibration, Measurement & Diagnosis, 2017, 37(4): 807-813(in Chinese).
[15] 关贞珍, 郑海起, 王彦刚, 等. 滚动轴承局部损伤故障动力学建模及仿真[J]. 振动、测试与诊断, 2012, 32(6): 950-955. GUAN Z Z, ZHENG H Q, WANG Y G, et al. Fault dynamic modeling and simulating of rolling bearing with localized defect[J]. Journal of Vibration, Measurement & Diagnosis, 2012, 32(6): 950-955(in Chinese).
[16] BEHZAD M, BASTAMI A R, MBA D. A new model for estimating vibrations generated in the defective rolling element bearings[J]. Journal of Vibration & Acoustics, 2011, 133(4): 041011.
[17] 刘静. 滚动轴承缺陷非线性激励机理与建模研究[D]. 重庆: 重庆大学, 2014. LIU J. Nonlinear vibration mechanisms and modeling of defects in rolling element bearings[D]. Chongqing: Chongqing University, 2014(in Chinese).
[18] KHANAM S, DUTT J K, TANDON N. Impact force based model for bearing local fault identification[J]. Journal of Vibration & Acoustics, 2015, 137(5): 051002.
[19] 黄文涛, 董振振, 孔繁朝. 引入撞击力的滚动轴承内圈故障振动模型[J]. 振动与冲击, 2016, 35(17): 121-126. HUANG W T, DONG Z Z, KONG F C. Vibration model of rolling element bearings with inner race faults considering impact force[J]. Journal of Vibration and Shock, 2016, 35(17): 121-126(in Chinese).
[20] 罗茂林, 郭瑜, 伍星. 考虑冲击力的球轴承外圈剥落缺陷双冲击现象动力学建模[J]. 振动与冲击, 2019, 38(14): 48-54. LUO M L, GUO Y, WU X. Dynamic modeling of the dual-impulse behavior produced by a spall on the outer race of a ball bearing considering impact forces[J]. Journal of Vibration and Shock, 2019, 38(14): 48-54(in Chinese).
[21] LIU J, SHAO Y, LIM T C. Vibration analysis of ball bearings with a localized defect applying piecewise response function[J]. Mechanism & Machine Theory, 2012, 56(1): 156-169.
[22] 罗茂林, 郭瑜, 伍星. 球轴承内圈剥落缺陷双冲击特征动力学建模[J]. 航空动力学报, 2019, 34(4): 48-56. LUO M L, GUO Y, WU X. Dynamic modeling for double-impulse behavior of ball bearing in the presence of a spall on inner race[J]. Journal of Aerospace Power, 2019, 34(4): 48-56(in Chinese).
[23] PATEL V N, TANDON N, PANDEY R K. A dynamic model for vibration studies of deep groove ball bearings considering single and multiple defects in races[J]. Journal of Tribology, 2010, 132(4): 041101.
[24] PALMGREN A. Ball and roller bearing engineering[M]. Philadelphia: S.H. Burbank, 1959.
[25] 罗继伟, 罗天宇. 滚动轴承分析计算与应用[M]. 北京: 机械工业出版社, 2009. LUO J W, LUO T Y. Rolling element bearing analysis, calculate and application[M]. Beijing: China Machine Press, 2009(in Chinese).
[26] 廖明夫, 马振国, 邓巍. 某型航空发动机中介轴承外环故障振动分析[J]. 航空动力学报, 2011, 26(11): 2422-2426. LIAO M F, MA Z G, DENG W. Vibration analysis on turbofan engine intershaft bearing with outer race defect[J]. Journal of Aerospace Power, 2011, 26(11): 2422-2426(in Chinese).
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