Abstract
With the development of industry and technology, mechanical systems’ safety has strong relations with the diagnosis of bearing faults. Accurate fault diagnosis is essential for the safe and stable operation of rotating machinery. Most former research depends too much on the fault signal specificity and learning model’s choices. To overcome the disadvantages of lacking intrinsic mode function (IMF) modal aliasing, low degree of discrimination between data of different fault types, high computational complexity. This paper proposes a method that combines multi-scale weighted entropy morphological filtering (MWEMF) signal processing and bidirectional long-short term memory neural networks (Bi-LSTM). The developed rolling bearing fault diagnosis strategy is then implemented to different databases and potential models to demonstrate the greatly improved system’s ability to reconstruct the time-to-frequency domain characteristics of fault signature signals and reduce learning cost. After verification, the classification accuracy of the proposed model reaches 99%.
This is a preview of subscription content, access via your institution.

















References
- 1.
Zhao Z, Qiao B, Wang S, Shen Z, Chen X (2019) A weighted multi-scale dictionary learning model and its applications on bearing fault diagnosis. J Sound Vib 446:429–452
- 2.
Zhao Q, Han T, Jiang D, Yin K (2019) Application of Variational mode decomposition to feature isolation and diagnosis in a wind turbine. J Vibration Eng Technol 7(6):639–646
- 3.
Liang J, Wang L, Wu J, Liu Z (2020) Elimination of end effects in LMD based on LSTM network and applications for rolling bearing fault feature extraction. Math Probl Eng 2020:1–16
- 4.
Jing L, Zhao M, Li P, Xu X (2017) A convolutional neural network-based feature learning and fault diagnosis method for the condition monitoring of gearbox. Measurement 111:1–10
- 5.
Li J, Wang H, Song L, Cui L (2019) A novel feature extraction method for roller bearing using sparse decomposition based on self-Adaptive complete dictionary. Measurement:148
- 6.
Kundu P, Darpe AK, Kulkarni MS (2019) Weibull accelerated failure time regression model for remaining useful life prediction of bearing working under multiple operating conditions Mech Syst Signal Process 134
- 7.
Liu R, Yang B, Zio E, Chen X (2018) Artificial intelligence for fault diagnosis of rotating machinery: a review. Mech Syst Signal Process 108:33–47
- 8.
Wang W, Lu Y (2018) Analysis of the mean absolute error (MAE) and the root mean square error (RMSE) in assessing rounding model. IOP Conf Series: Mat Sci Eng 324:012049
- 9.
Eftekharnejad B, Carrasco MR, Charnley B (2011) The application of spectral kurtosis on acoustic emission and vibrations from a defective bearing. Mech Syst Signal Process 25(1):266–284
- 10.
Chen Z, Xie YM, Wang Z, Li Q, Wu X, Zhou S (2020) A comparison of fast Fourier transform-based homogenization method to asymptotic homogenization method. Compos Struct:238
- 11.
Xu L, Pennacchi P, Chatterton S (2020) A new method for the estimation of bearing health state and remaining useful life based on the moving average cross-correlation of power spectral density Mech Syst Signal Process 139
- 12.
Liu Z, Zhang L, Carrasco J (2020) Vibration analysis for large-scale wind turbine blade bearing fault detection with an empirical wavelet thresholding method. Renew Energy 146:99–110
- 13.
Ben Ali J, Fnaiech N, Saidi L, Chebel-Morello B, Fnaiech F (2015) Application of empirical mode decomposition and artificial neural network for automatic bearing fault diagnosis based on vibration signals. Appl Acoust 89:16–27
- 14.
Qiu X, Ren Y, Suganthan PN, Amaratunga GAJ (2017) Empirical mode decomposition based ensemble deep learning for load demand time series forecasting. Appl Soft Comput 54:246–255
- 15.
Zhou F, Yang S, Fujita H, Chen D, Wen C (2020) Deep learning fault diagnosis method based on global optimization GAN for unbalanced data. Knowl-Based Syst 187:104837.1–104837.19
- 16.
Rolo-Naranjo A, Montesino-Otero M-E (2005) A method for the correlation dimension estimation for on-line condition monitoring of large rotating machinery. Mech Syst Signal Process 19(5):939–954
- 17.
Zhao S, Liang L, Xu G, Wang J, Zhang W (2013) Quantitative diagnosis of a spall-like fault of a rolling element bearing by empirical mode decomposition and the approximate entropy method. Mech Syst Signal Process 40(1):154–177
- 18.
Widodo A, Shim M-C, Caesarendra W, Yang B-S (2011) Intelligent prognostics for battery health monitoring based on sample entropy. Expert Syst Appl 38(9):11763–11769
- 19.
Zheng J, Cheng J, Yang Y (2013) A rolling bearing fault diagnosis approach based on LCD and fuzzy entropy. Mech Mach Theory 70:441–453
- 20.
Bandt C, Pompe B (2002) Permutation entropy: a natural complexity measure for time series. Phys Rev Lett 88(17):174102–174100
- 21.
Zhang X, Liang Y, Zhou J, zang Y (2015) A novel bearing fault diagnosis model integrated permutation entropy, ensemble empirical mode decomposition and optimized SVM. Measurement 69:164–179
- 22.
Yan X, Liu Y, Jia M (2019) Research on an enhanced scale morphological-hat product filtering in incipient fault detection of rolling element bearings. Measurement:147
- 23.
Tang G, Yan X, Wang X (2020) Chaotic signal Denoising based on adaptive smoothing multiscale morphological filtering. Complexity:1–14
- 24.
Hoang D-T, Kang H-J (2019) A survey on deep learning based bearing fault diagnosis. Neurocomputing 335:327–335
- 25.
Mei Y, Wu Y, Li L (2016) Fault diagnosis and remaining useful life estimation of aero engine using LSTM neural network. In: IEEE/CSAA International Conference on Aircraft Utility Systems
- 26.
Wang J, Cui L, Xu Y (2018) Quantitative and localization fault diagnosis method of rolling bearing based on quantitative mapping model. Entropy 20(7)
- 27.
Hao Y, Zhen Z, Li F, Zhao Y (2019) A graph-based progressive morphological filtering (GPMF) method for generating canopy height models using ALS data. Int J Appl Earth Obs Geoinf 79:84–96
- 28.
Xue B, Hong H, Zhou S, Chen G, Li Y, Wang Z, Zhu X (2019) Morphological filtering enhanced empirical wavelet transform for mode decomposition. IEEE Access 7:14283–14293
- 29.
Tan W, Chen X, Dong S (2013) A new method for machinery fault diagnoses based on an optimal multi-scale morphological filter. J Mech Eng 59(12):719–724
- 30.
Nishad A, Upadhyay A, Pachori RB, Acharya UR (2018) Automated classification of hand movements using tunable-Q wavelet transform based filter-bank with surface electromyogram signals. Futur Generat Comput Syst:93
- 31.
Memarzadeh G, Keynia F (2020) A new short-term wind speed forecasting method based on fine-tuned LSTM neural network and optimal input sets Energy Convers Manag 213
- 32.
Zanin M, Zunino L, Rosso OA, Papo D (2012) Permutation entropy and its Main biomedical and Econophysics applications: a review. Entropy 14:1553–1577
- 33.
Zhang S, Wang Y, Liu M, Bao Z (2018) Data-based line trip fault prediction in power systems using LSTM networks and SVM. IEEE Access 6:7675–7686
- 34.
Wu Y, Yuan M, Dong S, Lin L, Liu Y (2018) Remaining useful life estimation of engineered systems using vanilla LSTM neural networks. Neurocomputing 275:167–179
- 35.
Chen T, Xu R, He Y, Wang X (2017) Improving sentiment analysis via sentence type classification using BiLSTM-CRF and CNN. Expert Syst Appl 72:221–230
- 36.
Gisbrecht A, Schulz A, Hammer B (2015) Parametric nonlinear dimensionality reduction using kernel t-SNE. Neurocomputing 147(5):71–82
- 37.
Liu J, Li Q, Yang H, Han Y, Jiang S, Chen W (2019) Sequence fault diagnosis for PEMFC water management subsystem using deep learning with t-SNE. IEEE Access 7:92009–92019
- 38.
Dhalmahapatra K, Shingade R, Mahajan H, Verma A, Maiti J (2019) Decision support system for safety improvement: an approach using multiple correspondence analysis, t-SNE algorithm and K-means clustering. Comput Ind Eng 128:277–289
- 39.
Saif WS, Alshawi T, Esmail MA, Ragheb A, Alshebeili S (2019) Separability of histogram based features for optical performance monitoring: an investigation using t-SNE technique. IEEE Photonics J 11(3):1–12
- 40.
Case Western Reserve University (CWRU) Bearing Data Center, [Online], Available: https://csegroups.case.edu/bearingdatacenter/pages/download-data-file/, Accessed 2019, September
- 41.
Jiao W, Jiang Y, Shi J (2017) Early-stage monitoring on faults of rolling bearings based on fractal feature extraction. 2017 IEEE 2nd information technology, Networking, Electronic and Automation Control Conference
- 42.
Koziarski M, Krawczyk B, Wozniak M (2019) Radial-based Undersampling for imbalanced data classification. Neurocomputing 343(28):19–33
- 43.
Mullick SS, Datta S, Dhekane SG (2020) Appropriateness of performance indices for imbalanced data classification: an analysis. Pattern Recogn 102:19–33
- 44.
Huang H, Liu J, Liu S (2020) A method for classifying tube structures based on shape descriptors and a random forest classifier. Measurement:158
- 45.
Shao H, Xia M, Han G (2020) Intelligent fault diagnosis of rotor-bearing system under varying working conditions with modified transfer CNN and thermal images. IEEE Trans Ind Informa PP(99):1–1
- 46.
Shao H, Jiang H, Zhao H (2017) A novel deep autoencoder feature learning method for rotating machinery fault diagnosis. Mech Syst Signal Process 95:187–204
- 47.
Chen Z, Li W (2017) Multisensor feature fusion for bearing fault diagnosis using sparse autoencoder and deep belief network. IEEE Trans Instrum Meas 99:1–10
Acknowledgments
This research is supported by Powerchina Equipment Research Institute (Grant No. 2015-ZBY-WT-001). Finally, the author would like to appreciate the editors and reviewers for their valuable comments and constructive suggestions.
Author information
Affiliations
Corresponding authors
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Zou, F., Zhang, H., Sang, S. et al. Bearing fault diagnosis based on combined multi-scale weighted entropy morphological filtering and bi-LSTM. Appl Intell (2021). https://doi.org/10.1007/s10489-021-02229-1
Accepted:
Published:
Keywords
- Bearing fault diagnosis
- Combined multi-scale
- Weighted entropy morphological filtering
- Bi-LSTM