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

Liang YE; Sier DENG; Yongcun CUI; Wenhu ZHANG; Xiaoxu PANG

doi:10.13224/j.cnki.jasp.20210686

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

Power Transimission | 更新时间：2025-04-07

- Grey relation analysis on nonlinear characteristics and uncertainty characteristics of evolution of rolling bearing vibration performance state
- Journal of Aerospace Power Vol. 37, Issue 6, Pages: 1121-1133(2022)
- 作者机构：
  
  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
- 作者简介：
- 基金信息：
- DOI：10.13224/j.cnki.jasp.20210686
  CLC：
- 稿件说明：
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Liang YE, Sier DENG, Yongcun CUI, et al. Grey relation analysis on nonlinear characteristics and uncertainty characteristics of evolution of rolling bearing vibration performance state[J]. Journal of Aerospace Power, 2022, 37(6): 1121-1133.
DOI：

Liang YE, Sier DENG, Yongcun CUI, et al. Grey relation analysis on nonlinear characteristics and uncertainty characteristics of evolution of rolling bearing vibration performance state[J]. Journal of Aerospace Power, 2022, 37(6): 1121-1133. DOI： 10.13224/j.cnki.jasp.20210686.

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。

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.

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references

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 .

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 .

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 .

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 .

TANG Yunbing , GAO Deping , LUO Guihuo . Non‑linear bearing force of the rolling ball bearing and its influence on vibration of bearing system [J]. Journal of Aerospace Power , 2006 , 21 （ 2 ）: 366 ⁃ 373 . （in Chinese）

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 .

TU Wenbing , HE Haibin , LUO Ya , et al . Vibration characteristics of rolling element bearings based on rolling elements' skidding feature [J]. Journal of Vibration and Shock , 2017 , 36 （ 11 ）: 166 ⁃ 170 . （in Chinese）

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 .

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 .

MENG Fannian , DU Wenliao , LI Hao . Fusion model prediction of rolling bearing vibration signal based on chaos theory [J]. Journal of Aerospace Power , 2020 , 35 （ 8 ）: 1664 ⁃ 1675 . （in Chinese）

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 .

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 .

XU Yongzhi , XIA Xintao , NAN Xiang . Dynamic analysis of the robust test data on rolling bearing vibration based on chaos theory [J]. Journal of Aerospace Power , 2015 , 30 （ 8 ）: 1959 ⁃ 1965 . （in Chinese） .

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 .

XIA Xintao , JIA Chenhui , WANG Zhongyu . Nonlinear characteristic of rolling element bearing friction torque [J]. Transactions of the Chinese Society for Agricultural Machinery , 2009 , 4 （ 40 ）: 202 ⁃ 205 . （in Chinese）

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 .

MENG fannian . Experimental data analysis of rolling bearing friction torque [D]. Luoyang Henan : Henan University of Science and Technology , 2010 . （in Chinese）

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 .

ZHANG Shuqing , XING Tingting , HE Hongmei , et al . Bearing fault diagnosis method based on VMD and generalized fractal dimension matri [J]. Acta Metrologica Sinica , 2017 , 38 （ 4 ）: 439 ⁃ 443 . （in Chinese）

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 .

ZHANG Meiyun , WEI Hui , FAN Fuqi . Failure feature extraction based on box⁃counting dimension and information dimension of rolling bearing outer race [J]. Machinery Design & Manufacture , 2019 （ 9 ）: 227 ⁃ 230 . （in Chinese）

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 .

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 .

YE Liang , XIA Xintao , CHANG Zhen . Effect of sample size on evaluation of variation process of rolling bearing vibration performance [J]. Journal of Aerospace Power , 2019 , 34 （ 11 ）: 2490 ⁃ 2502 . （in Chinese）

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 .

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 .

LEMYRE F C , QUESSY J F . Multiplier bootstrap methods for conditional distributions [J]. Statistics & Computing , 2017 , 27 （ 3 ）: 805 ⁃ 821 .

CHEN X W , DAI W . Maximum entropy principle for uncertain variables [J]. International Journal of Fuzzy Systems , 2011 , 13 （ 3 ）: 232 ⁃ 236 .

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 .

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 .

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 .

YE Liang , XIA Xintao , CHANG Zhen . Dynamic evaluation of relationship between vibration performance maintaining reliability and uncertainty of rolling bearings [J]. Journal of Aerospace Power , 2020 , 35 （ 11 ）: 2326 ⁃ 2338 . （in Chinese）

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 .

YE Liang , XIA Xintao , CHANG Zhen . Evaluation of grey relation between chaotic characteristic and uncertainty of rolling bearing vibration performance [J]. Journal of Mechanical Transmission , 2021 , 45 （ 1 ）: 9 ⁃ 16,103 . （in Chinese）

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