A Fault Feature Extraction Method of Rolling Bearings Based on Optimized VMD and UMAP

Liu Junli; Miao Bingrong; Zhang Ying; Li Yongjian; Huang Zhong

doi:10.16578/j.issn.1004.2539.2023.06.019

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A Fault Feature Extraction Method of Rolling Bearings Based on Optimized VMD and UMAP

Development·Application | 更新时间：2023-08-14

- A Fault Feature Extraction Method of Rolling Bearings Based on Optimized VMD and UMAP
- Journal of Mechanical Transmission Vol. 47, Issue 6, Pages: 130-138(2023)
- 作者机构：
  
  1.西南交通大学牵引动力国家重点实验室，四川成都 610031
  2.五邑大学轨道交通学院，广东江门 529020
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2023.06.019
  CLC：
- Published：15 June 2023，
  
  Received：26 April 2022，
  
  Revised：19 May 2022，
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刘俊利,缪炳荣,张盈等.一种基于改进VMD和UMAP的滚动轴承故障特征提取方法[J].机械传动,2023,47(06):130-138.

Liu Junli,Miao Bingrong,Zhang Ying,et al.A Fault Feature Extraction Method of Rolling Bearings Based on Optimized VMD and UMAP[J].Journal of Mechanical Transmission,2023,47(06):130-138.
刘俊利,缪炳荣,张盈等.一种基于改进VMD和UMAP的滚动轴承故障特征提取方法[J].机械传动,2023,47(06):130-138. DOI： 10.16578/j.issn.1004.2539.2023.06.019.

Liu Junli,Miao Bingrong,Zhang Ying,et al.A Fault Feature Extraction Method of Rolling Bearings Based on Optimized VMD and UMAP[J].Journal of Mechanical Transmission,2023,47(06):130-138. DOI： 10.16578/j.issn.1004.2539.2023.06.019.

摘要

针对滚动轴承振动信号难以提取低维度敏感特征的问题，提出了一种基于逻辑回归优化变分模态分解（Variational Mode Decomposition，VMD）及均匀流形逼近和投影（Uniform Manifold Approximation and Projection，UMAP）的滚动轴承故障特征提取方法。首先，通过移动窗方法进行原始数据的样本划分，完成训练集以及测试集的构建；其次，随机抽取训练集部分数据进行不同分解模态数下的VMD，并对各层子信号进行特征提取，完成多个特征集的构建；然后，通过逻辑回归分别计算各特征集中各特征与标签的复相关系数，以确定变分模态分解的分解模态数和高度相关特征，并将此应用于训练集和测试集，得到高维特征数据集；最后，采用UMAP降维，获取具有高判别性的低维度特征，完成最终特征集构建。以3种常用智能算法的识别准确率及测试特征集中类内余弦距离和类间余弦距离的比值作为评价指标，结果表明，该方法不仅能实现多种轴承故障特征的有效提取，而且抗噪性良好，对于实际轴承故障诊断时的特征提取具有一定的参考价值。

Abstract

In view of the problem of difficulties in extracting low-dimensional sensitive features from rolling bearing vibration signals

a rolling bearing fault feature extraction method based on logistic regression optimization variation mode decomposition(VMD) and uniform manifold approximation and projection(UMAP) is proposed. Firstly

the method divides the original data into samples by the moving window method

and completes the construction of the training set as well as the test set. Secondly

a part of the training set is randomly selected for VMD with different number of modal decompositions

and features are extracted for each layer of sub-signals to complete the construction of multiple feature sets. Then

the complex correlation coefficients between each feature and the label in each feature set are calculated by logistic regression to determine the number of modal decompositions and highly correlated features

which are applied to the training set and the test set to obtain the high-dimensional feature data set. Finally

UMAP is used to obtain low-dimensional features with high discriminative power to complete the final feature set construction. Using the recognition accuracy of three commonly used intelligent algorithm and the ratio of intra-class cosine distance and inter-class cosine distance in the tested feature set as evaluation indexes

the results show that the method not only achieves effectively extract features of various bearing failures

but also has good noise immunity

which is of certain reference value for the feature extraction in the practical bearing fault diagnosis.

关键词

故障诊断滚动轴承变分模态分解逻辑回归均匀流形逼近和投影

Keywords

Fault diagnosisRolling bearingVMDLogistic regressionUMAP

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