Feature Enhancement Method of Rolling Bearing Based on K-Adaptive VMD and RBF-Fuzzy Entropy
The complex and harsh working environment of rolling bearings cause the fault characteristics in vibration signal contaminated by the noise, which make fault diagnosis difficult. In this paper, a feature enhancement method of rolling bearing signal based on variational mode decomposition with <i&...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-01-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/24/2/197 |
| _version_ | 1797480537081774080 |
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| author | Jing Jiao Jianhai Yue Di Pei |
| author_facet | Jing Jiao Jianhai Yue Di Pei |
| author_sort | Jing Jiao |
| collection | DOAJ |
| description | The complex and harsh working environment of rolling bearings cause the fault characteristics in vibration signal contaminated by the noise, which make fault diagnosis difficult. In this paper, a feature enhancement method of rolling bearing signal based on variational mode decomposition with <i>K</i> determined adaptively (K-adaptive VMD), and radial based function fuzzy entropy (RBF-FuzzyEn), is proposed. Firstly, a phenomenon called abnormal decline of center frequency (ADCF) is defined in order to determine the parameter <i>K</i> of VMD adaptively. Then, the raw signal is separated into <i>K</i> intrinsic mode functions (IMFs). A coefficient <i>En</i> for selecting optimal IMFs is calculated based on the center frequency bands (CFBs) of all IMFs and frequency spectrum for original signal autocorrelation operation. After that, the optimal IMFs of which <i>En</i> are bigger than the threshold are selected to reconstruct signal. Secondly, RBF is introduced as an innovative fuzzy function to enhance the feature discrimination of fuzzy entropy between bearings in different states. A specific way for determination of parameter <i>r</i> in fuzzy function is also presented. Finally, RBF-FuzzyEn is used to extract features of reconstructed signal. Simulation and experiment results show that K-adaptive VMD can effectively reduce the noise and enhance the fault characteristics; RBF-FuzzyEn has strong feature differentiation, superior noise robustness, and low dependence on data length. |
| first_indexed | 2024-03-09T22:02:28Z |
| format | Article |
| id | doaj.art-52102bd52997419e805df6b66dad9b8f |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T22:02:28Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-52102bd52997419e805df6b66dad9b8f2023-11-23T19:47:33ZengMDPI AGEntropy1099-43002022-01-0124219710.3390/e24020197Feature Enhancement Method of Rolling Bearing Based on K-Adaptive VMD and RBF-Fuzzy EntropyJing Jiao0Jianhai Yue1Di Pei2School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijng 100044, ChinaSchool of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijng 100044, ChinaSchool of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijng 100044, ChinaThe complex and harsh working environment of rolling bearings cause the fault characteristics in vibration signal contaminated by the noise, which make fault diagnosis difficult. In this paper, a feature enhancement method of rolling bearing signal based on variational mode decomposition with <i>K</i> determined adaptively (K-adaptive VMD), and radial based function fuzzy entropy (RBF-FuzzyEn), is proposed. Firstly, a phenomenon called abnormal decline of center frequency (ADCF) is defined in order to determine the parameter <i>K</i> of VMD adaptively. Then, the raw signal is separated into <i>K</i> intrinsic mode functions (IMFs). A coefficient <i>En</i> for selecting optimal IMFs is calculated based on the center frequency bands (CFBs) of all IMFs and frequency spectrum for original signal autocorrelation operation. After that, the optimal IMFs of which <i>En</i> are bigger than the threshold are selected to reconstruct signal. Secondly, RBF is introduced as an innovative fuzzy function to enhance the feature discrimination of fuzzy entropy between bearings in different states. A specific way for determination of parameter <i>r</i> in fuzzy function is also presented. Finally, RBF-FuzzyEn is used to extract features of reconstructed signal. Simulation and experiment results show that K-adaptive VMD can effectively reduce the noise and enhance the fault characteristics; RBF-FuzzyEn has strong feature differentiation, superior noise robustness, and low dependence on data length.https://www.mdpi.com/1099-4300/24/2/197variational mode decompositionfuzzy entropyfeature enhancingrolling element bearing |
| spellingShingle | Jing Jiao Jianhai Yue Di Pei Feature Enhancement Method of Rolling Bearing Based on K-Adaptive VMD and RBF-Fuzzy Entropy Entropy variational mode decomposition fuzzy entropy feature enhancing rolling element bearing |
| title | Feature Enhancement Method of Rolling Bearing Based on K-Adaptive VMD and RBF-Fuzzy Entropy |
| title_full | Feature Enhancement Method of Rolling Bearing Based on K-Adaptive VMD and RBF-Fuzzy Entropy |
| title_fullStr | Feature Enhancement Method of Rolling Bearing Based on K-Adaptive VMD and RBF-Fuzzy Entropy |
| title_full_unstemmed | Feature Enhancement Method of Rolling Bearing Based on K-Adaptive VMD and RBF-Fuzzy Entropy |
| title_short | Feature Enhancement Method of Rolling Bearing Based on K-Adaptive VMD and RBF-Fuzzy Entropy |
| title_sort | feature enhancement method of rolling bearing based on k adaptive vmd and rbf fuzzy entropy |
| topic | variational mode decomposition fuzzy entropy feature enhancing rolling element bearing |
| url | https://www.mdpi.com/1099-4300/24/2/197 |
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