Bearing Fault Diagnosis Method Based on Deep Learning and Health State Division
Abstract
:1. Introduction
- (1)
- Selection of datasets
- (2)
- Data preprocessing
- (3)
- Deep learning network model
2. Signal Division Method of Bearing Health State
2.1. Health Indicator Selection
2.2. Evaluation of Bearing HI
- (1)
- Trendability
- (2)
- Monotonicity
- (3)
- Robustness [41]
2.3. Health State Division Method
2.4. Health Status Division Results
3. Bearing Fault Diagnosis Based on Deep Learning
3.1. FFT Feature Extraction of Time-Domain Signal
3.2. Network Model of Bearing Fault Diagnosis Based on Deep Learning
3.3. Network Model and Detailed Parameters
3.4. Experimental Platform and Technology
3.5. Experimental Process
4. Experimental Verification
4.1. Experimental Data Processing and Experimental Process Design
4.1.1. Data Enhancement
4.1.2. Division of Experimental Dataset
4.2. Analysis of Experimental Results and Visualization of Training Classification Process
4.3. Analysis of Model Noise Resistance Results
4.4. Visualization of Training Set Classification Process
4.5. Visualization of Test Set Classification Process
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Dimensional Feature | Equation | Dimensionless Feature | Equation |
---|---|---|---|
mean | pulse factor | ||
Peak values | clearance factor | ||
root mean square | Peak factor | ||
Population variance | kurtosis factor |
RMS | Kurtosis Factor | STFT SUM | |||||||
---|---|---|---|---|---|---|---|---|---|
Tre | Mon | Rob | Tre | Mon | Rob | Tre | Mon | Rob | |
Bearing1_1 | 0.8632 | 0.6393 | 0.7908 | 0.1461 | 0.0328 | 0.7631 | 0.7415 | 0.3934 | 0.7613 |
Bearing1_2 | 0.9014 | 0.2625 | 0.7888 | 0.0595 | 0.1375 | 0.6750 | 0.8065 | 0.3500 | 0.7489 |
Bearing1_3 | 0.7560 | 0.6306 | 0.7775 | 0.7817 | 0.3121 | 0.7424 | 0.5804 | 0.5541 | 0.7521 |
Bearing1_4 | 0.3625 | 0.0083 | 0.7053 | 0.1645 | 0.0248 | 0.6589 | 0.2288 | 0.0248 | 0.6806 |
Bearing1_5 | 0.7584 | 0.4118 | 0.6760 | 0.2152 | 0.1373 | 0.8428 | 0.6369 | 0.2941 | 0.6728 |
Bearing2_1 | 0.3731 | 0.0449 | 0.7953 | 0.3905 | 0.0612 | 0.7414 | 0.2856 | 0.0082 | 0.7676 |
Bearing2_2 | 0.8838 | 0.2625 | 0.7798 | 0.1281 | 0.1000 | 0.7360 | 0.7200 | 0.2500 | 0.7413 |
Bearing2_3 | 0.8821 | 0.4812 | 0.8637 | 0.4732 | 0.0564 | 0.7555 | 0.8318 | 0.3835 | 0.8455 |
Bearing2_4 | 0.7909 | 0.7561 | 0.6504 | 0.7793 | 0.0244 | 0.6258 | 0.7406 | 0.7561 | 0.6414 |
Bearing2_5 | 0.9027 | 0.4911 | 0.8138 | 0.7806 | 0.1716 | 0.8172 | 0.8083 | 0.2840 | 0.7816 |
Bearing3_1 | 0.3207 | 0.0445 | 0.8944 | 0.1088 | 0.0051 | 0.9437 | 0.1934 | 0.0572 | 0.8837 |
Bearing3_2 | 0.7047 | 0.0790 | 0.8258 | 0.6124 | 0.0357 | 0.8545 | 0.5308 | 0.0156 | 0.8029 |
Bearing3_3 | 0.4141 | 0.2703 | 0.8358 | 0.3824 | 0.0649 | 0.7554 | 0.4299 | 0.2324 | 0.8232 |
Bearing3_4 | 0.3575 | 0.0502 | 0.8875 | 0.2468 | 0.1347 | 0.8177 | 0.3290 | 0.0568 | 0.8754 |
Bearing3_5 | 0.8719 | 0.4336 | 0.8320 | 0.2654 | 0.2566 | 0.7450 | 0.9046 | 0.4867 | 0.7955 |
Bearing | Bearing1_1 | Bearing1_2 | Bearing1_3 | Bearing1_4 | Bearing1_5 | |
---|---|---|---|---|---|---|
Fault Location | ||||||
Normal | 1:76 | 1:43 | 1:56 | 1:77 | 1:32 | |
Cage | 79:122 | |||||
Inner-Outer-race | 34:52 | |||||
Outer-race | 78:123 | 45:161 | 58:158 | |||
Bearing2_1 | Bearing2_2 | Bearing2_3 | Bearing2_4 | Bearing2_5 | ||
Normal | 1:449 | 1:44 | 1:322 | 1:28 | 1:118 | |
cage | 324:533 | |||||
Inner-race | 451:491 | |||||
Outer-race | 46:161 | 30:42 | 120:339 | |||
Bearing3_1 | Bearing3_2 | Bearing3_3 | Bearing3_4 | Bearing3_5 | ||
Normal | 1:2376 | 1:912 | 1:338 | 1:1414 | 1:4 | |
Cage-Inner- outer-race | 914:2496 | |||||
Inner-race | 340:371 | 1416:1515 | ||||
outer-race | 2378:2538 | 6:114 |
NO | Layer Type | Kernel/Stride | Output Size Width × Depth | Kernel Channel Size | Padding | |
---|---|---|---|---|---|---|
1 | Input | — | 1024 × 1 | — | — | |
2 | Convolution | 16 × 1/16 × 1 | 64 × 8 | 32 × 32 | 8 | Same |
Pooling | 2 × 1/2 × 1 | 32 × 8 | — | Valid | ||
Convolution | 32 × 1/16 × 1 | 64 × 8 | 8 | Same | ||
Pooling | 2 × 1/2 × 1 | 32 × 8 | — | Valid | ||
Convolution | 64 × 1/16 × 1 | 64 × 8 | 8 | Same | ||
Pooling | 2 × 1/2 × 1 | 32 × 8 | — | Valid | ||
Convolution | 96 × 1/16 × 1 | 64 × 8 | 8 | Same | ||
Pooling | 2 × 1/2 × 1 | 32 × 8 | — | Valid | ||
3 | Dropout | — | 32 × 32 | — | — | |
4 | Convolution | 3 × 1/1 × 1 | 32 × 32 | 32 | Same | |
5 | Pooling | 2 × 1/2 × 1 | 16 × 32 | — | Valid | |
6 | Convolution | 3 × 1/1 × 1 | 16 × 64 | 64 | Same | |
7 | Pooling | 2 × 1/2 × 1 | 8 × 64 | — | Valid | |
8 | Convolution | 3 × 1/1 × 1 | 8 × 64 | 64 | Same | |
9 | Pooling | 2 × 1/2 × 1 | 4 × 64 | — | Valid | |
10 | Convolution | 3 × 1/1 × 1 | 2 × 64 | 64 | Valid | |
11 | Pooling | 2 × 1/2 × 1 | 1 × 64 | — | Valid | |
12 | GRU | — | 1 × 60 | 60 | — | |
13 | GRU | — | 30 | 30 | — | |
14 | Softmax | — | 4 | 4 | — |
Working Condition I | ||||||||||
Fault Location | Cage | Inner-Outer | Normal | Outer-Race | ||||||
Type Label | 0 | 1 | 2 | 3 | ||||||
Bearing | 1_4 | 1_5 | 1_1 | 1_2 | 1_3 | 1_4 | 1_5 | 1_1 | 1_2 | 1_3 |
Training Set | 7000 | 7000 | 1400 | 1400 | 1400 | 1400 | 1400 | 2333 | 2333 | 2333 |
Validation Set | 1000 | 1000 | 200 | 200 | 200 | 200 | 200 | 333 | 333 | 334 |
Test Set | 2000 | 2000 | 400 | 400 | 400 | 400 | 400 | 667 | 667 | 666 |
Working condition II | ||||||||||
Fault location | Inner-race | Outer-race | Normal | Cage | ||||||
Type Label | 0 | 1 | 2 | 3 | ||||||
Bearing | 2_4 | 2_5 | 2_1 | 2_2 | 2_3 | 2_4 | 2_5 | 2_1 | 2_2 | 2_3 |
Training Set | 7000 | 7000 | 1400 | 1400 | 1400 | 1400 | 1400 | 2333 | 2333 | 2333 |
Validation Set | 1000 | 1000 | 200 | 200 | 200 | 200 | 200 | 333 | 333 | 334 |
Test Set | 2000 | 2000 | 400 | 400 | 400 | 400 | 400 | 667 | 667 | 666 |
Working condition III | ||||||||||
Fault location | Inner-race | Normal | Outer-race | Inner-outer-cage | ||||||
Type Label | 0 | 1 | 2 | 3 | ||||||
bearing | 3_3 | 3_4 | 3_1 | 3_2 | 3_3 | 3_4 | 3_5 | 3_1 | 3_2 | 3_2 |
Training Set | 3500 | 3500 | 1400 | 1400 | 1400 | 1400 | 1400 | 3500 | 3500 | 7000 |
Validation Set | 500 | 500 | 200 | 200 | 200 | 200 | 200 | 500 | 500 | 1000 |
Test Set | 1000 | 1000 | 400 | 400 | 400 | 400 | 400 | 1000 | 1000 | 2000 |
SNR Model | −10 | −8 | −6 | −4 | −2 | 0 | 2 | 4 | 6 | 8 | 10 |
---|---|---|---|---|---|---|---|---|---|---|---|
Working condition I | |||||||||||
SVM + FFT ± | 25.76 0.986 | 27.11 2.315 | 35.60 6.977 | 48.16 7.123 | 59.66 3.325 | 66.93 3.083 | 75.50 3.473 | 83.07 1.896 | 85.29 2.073 | 87.50 1.598 | 88.43 1.503 |
ANN + FFT ± | 38.24 9.351 | 40.54 10.17 | 43.10 10.22 | 48.78 8.959 | 60.43 6.580 | 69.73 8.257 | 72.94 9.266 | 75.00 8.287 | 79.77 6.021 | 83.07 5.119 | 85.16 4.761 |
WD + Ori. ± | 29.15 3.913 | 32.71 6.206 | 37.95 8.285 | 44.13 8.672 | 54.82 7.817 | 65.83 6.715 | 76.90 6.228 | 82.63 4.906 | 86.77 4.353 | 88.38 3.048 | 90.42 2.534 |
WD + FFT ± | 30.98 6.878 | 32.31 6.146 | 35.55 7.521 | 40.26 9.983 | 49.33 11.05 | 60.74 10.22 | 71.00 8.025 | 80.70 6.081 | 84.82 5.599 | 87.32 3.465 | 88.84 1.969 |
Pro + Ori. ± | 26.14 10.03 | 27.65 9.370 | 30.84 8.591 | 37.56 8.576 | 49.83 9.977 | 69.19 11.53 | 79.22 11.40 | 86.08 6.867 | 90.36 3.697 | 92.78 2.224 | 93.72 1.973 |
Pro + FFT ± | 40.17 6.273 | 46.24 7.917 | 51.94 9.085 | 56.98 8.988 | 64.67 10.22 | 72.13 10.38 | 79.55 9.907 | 88.16 3.035 | 90.77 1.896 | 92.67 2.099 | 94.67 1.932 |
Working condition II | |||||||||||
SVM + FFT ± | 25.00 0.004 | 25.07 0.181 | 26.36 0.624 | 30.21 2.356 | 36.80 1.964 | 43.03 1.277 | 49.97 2.701 | 62.80 1.943 | 72.77 1.576 | 77.99 1.350 | 80.74 1.358 |
ANN + FFT ± | 26.49 1.958 | 28.11 3.104 | 30.77 5.173 | 35.64 6.237 | 42.05 7.508 | 50.80 9.578 | 59.94 9.046 | 69.06 7.559 | 78.71 6.529 | 86.02 4.980 | 90.80 4.058 |
WD + Ori. ± | 27.81 1.538 | 30.62 2.640 | 36.32 4.154 | 44.94 4.399 | 55.66 5.568 | 68.06 5.765 | 78.77 5.890 | 86.88 3.688 | 90.95 3.545 | 92.72 2.902 | 93.54 2.855 |
WD + FFT ± | 34.74 6.813 | 35.99 8.284 | 40.02 10.43 | 49.55 13.88 | 61.59 13.86 | 72.25 11.21 | 81.22 7.872 | 87.05 5.154 | 90.07 3.787 | 91.69 3.061 | 93.12 2.472 |
Pro + Ori. ± | 19.46 7.890 | 20.06 7.819 | 23.10 8.182 | 30.96 8.836 | 44.10 11.65 | 59.79 13.45 | 75.79 9.661 | 86.69 8.093 | 92.55 4.568 | 94.70 3.030 | 95.71 2.685 |
Pro + FFT ± | 42.72 9.384 | 51.42 10.17 | 62.84 11.98 | 73.96 10.08 | 83.47 5.781 | 89.59 2.769 | 92.26 2.439 | 93.89 2.442 | 95.04 2.122 | 95.74 1.928 | 96.51 1.551 |
Working condition III | |||||||||||
SVM + FFT ± | 25.05 0.080 | 25.81 0.843 | 30.87 2.394 | 40.50 4.586 | 55.75 4.017 | 70.36 4.352 | 79.29 5.445 | 84.65 4.460 | 87.46 4.215 | 90.82 3.012 | 92.44 2.503 |
ANN + FFT ± | 35.12 11.87 | 37.64 13.28 | 41.78 14.38 | 48.28 13.80 | 60.21 11.19 | 74.62 11.34 | 77.07 10.16 | 85.72 8.283 | 90.94 6.065 | 94.29 3.191 | 95.64 1.489 |
WD + Ori. ± | 28.58 2.109 | 30.34 3.071 | 34.85 5.176 | 44.89 7.815 | 58.01 8.329 | 71.4 8.785 | 80.27 7.700 | 86.82 5.388 | 90.74 3.636 | 92.67 2.433 | 94.02 1.827 |
WD + FFT ± | 27.95 5.202 | 28.87 65.55 | 30.63 6.616 | 33.30 6.768 | 40.50 7.569 | 55.69 7.055 | 67.22 7.677 | 77.47 6.492 | 82.96 4.992 | 87.70 3.606 | 90.13 2.631 |
Pro + Ori. ± | 25.94 5.978 | 27.61 6.395 | 32.07 7.451 | 40.54 10.67 | 53.40 13.08 | 66.35 11.14 | 73.88 10.35 | 81.93 9.803 | 88.06 6.767 | 92.46 4.095 | 94.72 2.569 |
Pro + FFT ± | 33.04 6.584 | 43.55 8.998 | 52.6 8.480 | 60.82 10.95 | 75.24 9.026 | 85.73 5.822 | 91.14 3.511 | 93.61 1.801 | 94.60 1.870 | 96.06 1.049 | 96.70 0.865 |
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Shi, L.; Su, S.; Wang, W.; Gao, S.; Chu, C. Bearing Fault Diagnosis Method Based on Deep Learning and Health State Division. Appl. Sci. 2023, 13, 7424. https://0-doi-org.brum.beds.ac.uk/10.3390/app13137424
Shi L, Su S, Wang W, Gao S, Chu C. Bearing Fault Diagnosis Method Based on Deep Learning and Health State Division. Applied Sciences. 2023; 13(13):7424. https://0-doi-org.brum.beds.ac.uk/10.3390/app13137424
Chicago/Turabian StyleShi, Lin, Shaohui Su, Wanqiang Wang, Shang Gao, and Changyong Chu. 2023. "Bearing Fault Diagnosis Method Based on Deep Learning and Health State Division" Applied Sciences 13, no. 13: 7424. https://0-doi-org.brum.beds.ac.uk/10.3390/app13137424