滚动轴承振动性能状态演变的非线性特征和不确定性特征的灰关系分析

叶亮; 邓四二; 崔永存; 张文虎; 庞晓旭

doi:10.13224/j.cnki.jasp.20210686

滚动轴承振动性能状态演变的非线性特征和不确定性特征的灰关系分析

doi: 10.13224/j.cnki.jasp.20210686

叶亮¹,
邓四二^1,2,3, ,,
崔永存¹,
张文虎¹,
庞晓旭¹

1.
河南科技大学机电工程学院，河南洛阳 471003
2.
辽宁重大装备制造协同创新中心，辽宁大连 116024
3.
河南科技大学高端轴承摩擦学技术与应用国家地方联合工程实验室，河南洛阳 471023

基金项目: 国家自然科学基金青年科学基金项目（51905152）；河南省重点研发与推广专项（科技攻关）（202102210083）

详细信息

作者简介:
叶亮（1990-），男，博士，主要研究方向为滚动轴承性能分析与数据处理。

通讯作者:
邓四二（1963-），男，教授、博士生导师，博士，主要研究方向为滚动轴承设计与仿真分析。E-mail：dse@haust.edu.cn

中图分类号: V216.3;TH133.33
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- 文章访问数: 595
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- 被引次数: 0
出版历程
- 收稿日期: 2021-12-01
- 刊出日期: 2022-06-28

Grey relation analysis on nonlinear characteristics and uncertainty characteristics of evolution of rolling bearing vibration performance state

1.
School of Mechatronics Engineering， Henan University of Science and Technology，Luoyang Henan 471003，China
2.
Collaborative Innovation Center of Major Machine Manufacturing in Liaoning， Dalian Liaoning 116024，China
3.
National United Engineering Laboratory for Advanced Bearing Tribology， Henan University of Science and Technology，Luoyang Henan 471023，China

摘要

摘要: 为了更加全面有效地监测滚动轴承服役过程中其振动性能状态的演变历程，用关联维数和盒维数表征振动性能状态演变的非线性，用振动数据瞬时值的波动范围和平均值的波动范围表征振动性能状态演变的不确定性。运用灰关系分析法求解参数序列之间的灰置信水平，进而分析轴承振动性能状态演变的非线性特征和不确定性特征之间的非线性相关程度。两个案例表明：总体上来看，关联维数和盒维数均有减小的趋势，瞬时值的波动范围和平均值的波动范围都有增大的趋势，而且它们在突变点处有某种意义上的对应关系。非线性特征参数序列和不确定性特征参数序列总体上有负相关关系，且不确定性参数序列与关联维数的灰置信水平均比其与盒维数的灰置信水平要高。
- 滚动轴承 /
- 性能状态演变 /
- 非线性 /
- 不确定性 /
- 关联维数 /
- 盒维数 /
- 瞬时值的波动范围 /
- 平均值的波动范围
Abstract: In order to more comprehensively and effectively monitor the evolution process of vibration performance state of rolling bearing in service，the nonlinear and uncertainty features of evolution of vibration performance state were characterized by correlation dimension and box dimension，the fluctuation ranges of instantaneous value and average value of vibration data.The grey confidence level between the parameter sequences was solved by using the grey relation analysis method，so as to analyze the nonlinear correlation degree between the nonlinear and uncertain characteristics of the evolution of the bearing vibration performance state.Two cases showed that the correlation dimension and box dimension had a trend of decrease，and the fluctuation ranges of instantaneous value and average value had a trend of increase on the whole.Moreover，they had corresponding relationships at the discontinuity points in a sense.There were negative correlation relationships among nonlinear parameters and uncertain parameters.Besides，the grey confidence levels between sequences of uncertain parameters and correlation dimension were higher than the uncertainty parameters and box dimension.
- rolling bearing /
- evolution of performance state /
- nonlinear /
- uncertainty /
- correlation dimension /
- box dimension /
- fluctuation ranges of instantaneous value /
- fluctuation ranges of average value

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参考文献(23)

[1]	NATARAJ C,HARSHA S P.The effect of bearing cage run-out on the nonlinear dynamics of a rotating shaft[J].Communications in Nonlinear Science and Numerical Simulation,2008,13（4）:822-838.
[2]	WANG H C,CHEN J.Performance degradation assessment of rolling bearing based on bispectrum and support vector data description[J].Journal of Vibration and Control,2014,13（20）:2032-2041.
[3]	SINOU J J.Non-linear dynamics and contacts of an unbalanced flexible rotor supported on ball bearings[J].Mechanism and Machine Theory,2009,44（9）:1713-1732.
[4]	唐云冰,高德平,罗贵火.滚动轴承非线性轴承力及其对轴承系统振动特性的影响[J].航空动力学报,2006,21（2）:366-373.
[5]	涂文兵,何海斌,罗丫，等.基于滚动体打滑特征的滚动轴承振动特性研究[J].振动与冲击,2017,36（11）:166-170.
[6]	XIA X T,CHANG Z,LI Y F,et al.Analysis and prediction for time series on friction torque of rolling bearings[J].Journal of Testing and Evaluation,2018,46（3）:1022-1041.
[7]	孟凡念,杜文辽,李浩.基于混沌理论的滚动轴承振动信号融合模型预测[J].航空动力学报,2020,35（8）:1664-1675.
[8]	XIA X T,MENG F N.Grey relational analysis of measure for uncertainty of rolling bearing friction torque as time series[J].Journal of Grey System,2011,23（2）:135-144.
[9]	徐永智,夏新涛,南翔.基于混沌理论滚动轴承振动稳健化试验数据的动态分析[J].航空动力学报,2015,30（8）:1959-1965.
[10]	夏新涛,贾晨辉,王中宇.滚动轴承摩擦力矩的非线性特征[J].农业机械学报,2009,4（40）:202-205.
[11]	孟凡念.滚动轴承摩擦力矩的试验数据分析[D].河南洛阳:河南科技大学,2010.
[12]	张淑清,邢婷婷,何红梅，等.基于VMD及广义分形维数矩阵的滚动轴承故障诊断[J].计量学报，2017,38（4）:439-443.
[13]	张美芸,魏晖,樊富起.滚动轴承外圈失效的盒维数与信息维数特征[J].机械设计与制造，2019（9）:227-230.
[14]	XIA X T,WANG Z Y.Grey relation between nonlinear characteristic and dynamic uncertainty of rolling bearing friction torque[J].Chinese Journal of Mechanical Engineering,2009,22（2）:244-249.
[15]	叶亮,夏新涛,常振.样本量对滚动轴承振动性能变异过程评估的影响[J].航空动力学报,2019,34（11）:2490-2502.
[16]	XIA X T,MENG Y Y,SHI B J,et al.Bootstrap forecasting method of uncertainty for rolling bearing vibration performance based on GM（1,1）[J].Journal of Grey System,2015,27（2）:78-92.
[17]	CHEN Y S,YANG J L,XU Y H,et al.Status self-validation of sensor arrays using gray forecasting model and bootstrap method[J].IEEE Transactions on Instrumentation & Measurement,2016,65（7）:1626-1640.
[18]	LEMYRE F C,QUESSY J F.Multiplier bootstrap methods for conditional distributions[J].Statistics & Computing,2017,27（3）:805-821.
[19]	CHEN X W,DAI W.Maximum entropy principle for uncertain variables[J].International Journal of Fuzzy Systems,2011,13（3）:232-236.
[20]	PANDA S,MISHRA D,BISWAL B B,et al.Optimization of multiple response characteristics of EDM process using taguchi-based grey relational analysis and modified PSO[J]. Journal of Advanced Manufacturing Systems,2015,14（3）:123-148.
[21]	KUMAR S S,UTHAYAKUMAR M,KUMARAN S T,et al.Parametric optimization of wire electrical discharge machining on aluminium based composites through grey relational analysis[J].Journal of Manufacturing Processes,2015,20（1）:33-39.
[22]	叶亮,夏新涛,常振.滚动轴承振动性能保持可靠性与不确定性关系的动态评估[J].航空动力学报,2020,35（11）:2326-2338.
[23]	叶亮,夏新涛,常振.滚动轴承振动性能的混沌特性与不确定性之间的灰关系评估[J].机械传动,2021,45（1）:9-16,103.