Evaluation of Grey Relation between Chaotic Characteristic and Uncertainty of Rolling Bearing Vibration Performance

Liang Ye; Xintao Xia; Zhen Chang

doi:10.16578/j.issn.1004.2539.2021.01.002

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Evaluation of Grey Relation between Chaotic Characteristic and Uncertainty of Rolling Bearing Vibration Performance

Theory·Reserach | 更新时间：2022-11-10

- Evaluation of Grey Relation between Chaotic Characteristic and Uncertainty of Rolling Bearing Vibration Performance
- Journal of Mechanical Transmission Vol. 45, Issue 1, Pages: 9-17(2021)
- 作者机构：
  
  1.西北工业大学机电学院，陕西西安 710072
  2.河南科技大学机电工程学院，河南洛阳 471003
  3.河南科技大学机械装备先进制造河南省协同创新中心，河南洛阳 471003
  4.杭州轴承试验研究中心有限公司质量检测中心，浙江杭州 310022
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2021.01.002
  CLC：
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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(01):9-17.

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(01):9-17.
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(01):9-17. DOI： 10.16578/j.issn.1004.2539.2021.01.002.

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(01):9-17. DOI： 10.16578/j.issn.1004.2539.2021.01.002.

摘要

鉴于滚动轴承振动性能的失效概率分布呈现多变性、非线性、不确定性等特征，提出分别用振动数据序列的Hurst指数和最大熵指标表征滚动轴承振动性能的混沌特性和不确定性。基于滚动轴承服役过程中的振动数据序列，在对数坐标系中运用最小二乘法拟合得到Hurst指数值，判断各个振动序列对应时间段内轴承运行性能状态的混沌特性。运用最大熵法求解各振动序列的最大熵值，进而对轴承振动性能的不确定性进行定量分析。运用灰关系分析法，计算均值归一化后的Hurst指数和最大熵序列之间的灰置信水平，分析轴承振动性能的混沌特性和不确定性之间的非线性相关程度。两个案例中Hurst指数与最大熵序列之间的灰置信水平分别为96.99%和82.1%，表明轴承振动性能的混沌特性和不确定性之间的关系非常紧密。

Abstract

In view of the variability， non-linearity and uncertainty of failure probability distributions of rolling bearing vibration performance， the Hurst index and maximum entropy index of vibration data series are proposed to represent the chaotic characteristics and uncertainty of the rolling bearing vibration performance， respectively. Based on the vibration data series of rolling bearing in service， the Hurst index is obtained using least square method in logarithmic coordinate system， and the chaotic characteristic of bearing operation performance state is judged in the corresponding time period of each vibration sequence. The maximum value of entropy of each vibration sequence is solved by utilizing the maximum entropy method， so as to quantitatively analyze the uncertainty of bearing vibration performance. To analyze the nonlinear correlation degree between chaotic characteristics and uncertainty of bearing vibration performance， the grey relation analysis method is applied to calculate the grey confidence level between Hurst index and maximum entropy sequence after mean normalization. In the two cases， the grey confidence levels between Hurst index and maximum entropy sequence are 96.99% and 82.1%， respectively， which show that the relationship between chaotic characteristics and uncertainty of bearing vibration performance is very close.

关键词

滚动轴承混沌特性不确定性Hurst指数最大熵灰关系分析法灰置信水平

Keywords

Rolling bearingChaotic characteristicUncertaintyHurst indexMaximum entropyGrey relation analysis methodGrey confidence level

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