Abstract
Aiming at the intrinsic aspect that the weak features of the early fault information of rolling bearings are not easy to extract, a parameter Adaptive Variational Modal Decomposition (AVMD) based algorithm is proposed for bearing fault signal feature extraction. Since the number of Variational Modal Decomposition (VMD) decomposition and penalty factor play an important role in VMD decomposition effect, the irregularities in the selection of these two influencing parameters are analyzed. We exploit the stronger global search capability of the improved sparrow search algorithm (LSSA) for adaptive parameter selection of the VMD algorithm. In this paper, the Levy flight algorithm is introduced and chaos is added to initialize sparrow population position to prevent sparrow from falling into the disadvantage of local optimum in the search process. In addition, this paper also combines the maximum kurtosis index, the minimum envelope entropy index and the number of iterations of VMD to form the objective function of the LSSA. The VMD algorithm with optimized parameters decomposes the signal to be measured, the decomposed IMFs was reconstructed, finally the validity of the model was verified by calculating 20 features (time domain and frequency domain) of the reconstructed signal as the input vector of the SVM classifier. Finally, the feasibility of this model in fault diagnosis of rolling bearing is verified using simulation and example experiments.
Similar content being viewed by others
References
Song BY, Xu JW, Xu L (2019) Multi-level inverter fault diagnosis based on WPT-PCA-NN Algorithm. Journal of shandong university of science and technology. Nat Sci 38(01):111–120. https://doi.org/10.16452/j.cnki.sdkjzk.2019.01.013
Xu Z, Li C, Yang Y (2020) Fault diagnosis of rolling bearing of wind turbines based on the Variational mode decomposition and deep convolutional neural networks. Appl Soft Comput 95:106515
Zheng JX, Yang C, Lang YC, Li JY (2021) Bearing failure diagnosis for SVM based on VMD and GWO. Coal Mine Machinery 42(01):147–150
Dragomiretskiy K, Zosso D (2014) Variational mode decomposition. IEEE Trans Signal Process 62(3):531–544
Jiang ZW (2017) Variational mode decomposition method and its application in mechanical fault diagnosis. Anhui University of Technology
Song X, Wang H, Chen P (2021) Weighted kurtosis-based VMD and improved frequency-weighted energy operator low-speed bearing-fault diagnosis[J]. Meas Sci Technol 32(3):035016 (11pp)
Sukriti CM, Mitra D (2021) Epilepsy seizure detection using kurtosis based VMD's parameters selection and bandwidth features. Biomedical Signal Processing and Control 64:102255
Ding CJ, Feng YB, Wang MN (2021) Fault diagnosis of rolling bearing based on Variational mode decomposition and deep convolutional neural network. Vibration and Impact 40(02):287–296
Yan XA, Jia MP, Xiang L (2016) Compound fault diagnosis of rotating machinery based on OVMD and a 1.5-dimension envelope spectrum. Meas Sci Technol 27(7):075002
Wang J, Guo SW (2020) Application of adaptive VMD algorithm in rolling bearing failure diagnosis. Electromechanical Engineering Technology 49(11):161–164
Miao Y, Zhao M, Lin J (2019) Identification of mechanical compound-fault based on the improved parameter-adaptive variational mode decomposition. ISA Trans 84:82–95
Zhao M, Lin J, Miao YH, Xu XQ (2016) Detection and recovery of fault impulses via improved harmonic product spectrum and its application in defect size estimation of train bearings. Measurement 91:421–439
He XZ, Zhou XQ, Yu WN, Hou YX, Mechefske CK (2020) Adaptive variational mode decomposition and its application to multi-fault detection using mechanical vibration signals - ScienceDirect. ISA Transactions, 10.1016/j.isatra.2020.10.060
Gao Z, Zhang HL, Chen YB, Liu JF, Nie ZC (2020) Mutant Movement Tracking Based on Dynamic Weights Grasshoppers Optimization Algorithm. Journal of Zhengzhou University (Science Edition) 52(02):36–44
Xue J, Shen B (2020) A novel swarm intelligence optimization approach: sparrow search algorithm. Systems Science & Control Engineering An Open Access Journal 8(1):22–34
Tang AD, Han T, Xu DW, Xie L. UAV Track Planning Method Based on Chaos Sparrow Search algorithm. Computer application: 1–11 [2021-03-06]. http://kns.cnki.net/kcms/detail/51.1307.TP.20201124.1519.002.html
Lv X, Mu XD, Zhang J (2021) Multi-threshold image segmentation based on an improved sparrow search algorithm. Systems Engineering and Electronics 43(02):318–327
Lei Y, De G, Fei L (2020) Improved Sparrow Search Algorithm based DV-Hop Localization in WSN[C]. 2020 Chinese Automation Congress (CAC)
Zhu Y, Yousefi N (2021) Optimal parameter identification of PEMFC stacks using adaptive sparrow search algorithm. Int J Hydrog Energy 46(14):9541–9552
Wang H, Xianyu J (2021) Optimal configuration of distributed generation based on sparrow search algorithm. IOP Conference Series: Earth and Environmental Science 647(1):012053 (6pp)
Zhang X, Miao Q, Zhang H, Wang L (2018) A parameter-adaptive VMD method based on grasshopper optimization algorithm to analyze vibration signals from rotating machinery. Mech Syst Signal Process 108:58–72
Zheng Y, Hu JZ, Jia MP, Xu FY, Tong QJ (2020) A characteristic extraction method of rolling bearing based on parameter optimization Variational mode decomposition. Vibration and Impact 39(21):195–202
Zhang C, Hou N, Lu JY, Wang C (2021) Improved PSO-VMD Algorithm and Its Application in Pipeline Leak Detection. Journal of Jilin University (Information Science Edition) 39(01):28–36
Zheng Y, Yue JH, Jiao J, Guo XY (2021) Extraction of rolling bearing based on parameter optimization Variational mode decomposition. Vibration and Impact 40(01):86–94
Yu K, Ma H, Zeng J, Han H, Li H, Wen B (2019) Frobenius and nuclear hybrid norm penalized robust principal component analysis for transient impulsive feature detection of rolling bearings. ISA Trans 100:373–386
Zhang JW, Ding KQ, Wang HG (2020) Intelligent diagnosis of rolling bearing based on VMD-CNN. Combined machine tool and automatic machining technology 11:15–19
Liu J C, Quan H, Yu X, He K, Li Z H. Fault Diagnosis of Rolling Bearing Based on Parameter Optimization of VMD and Sample Enropy [J/OL]. Automation: 1–12 [2021-03-26]. https://doi.org/10.16383/j.aas.190345
Zhang C, Ding S (2021) A stochastic configuration network based on chaotic sparrow search algorithm[J]. Knowl-Based Syst 220(10):106924
Yuan T, Yongquan L (2020) Cuckoo search algorithm based on mini-batch gradient descent. Journal of shandong university of science and technology. Nat Sci 39(05):56–67. https://doi.org/10.16452/j.cnki.sdkjzk.2020.05.007
Liang T, Cao D X. Improved Simplified Particle Group Algorithm Based on Levy Flight [J/OL]. Computer Engineering and Application: 1–14 [2021-01-27]. http://kns.cnki.net/kcms/detail/11.2127.TP.20201030.0959.006.html
Yan C, Li MX, Liu W (2020) Prediction of bank telephone marketing results based on improved whale algorithms optimizing S_Kohonen network. Appl Soft Comput 92:106259
Wang ZW (2015) Fault diagnosis method based on Variational mode decomposition. Yanshan University
Wang CJ, Wang HR, Guan XY, Chang MR. Rolling Bearing Fault Diagnosis Based on VMD Sample Entropy and CS-ELM. Chemical Automation and Instrumentation, 201,48(05):469–475+485
Chang MR, Wang HR, Xiao Y, Wang CJ, Jiang CY (2021) Fault diagnosis method of rolling bearing optimized by SVM based on improved firefly algorithm. Chemical Automation & Instrumentation 48(04):372–377
Diao N K, Ma H X, Wang J S, Liu S. Fault Diagnosis of rolling bearing based on MPE and PSO-SVM.Electronic Measurement Technology:1–5[2021-12-20] http://kns.cnki.net/kcms/detail/11.2175.TN.20211207.2118.016.html
Zhu J, Hu T, Jiang B, Yang X (2020) Intelligent bearing fault diagnosis using PCA–DBN framework. Neural Comput & Applic 32:10773–10781
Meng D, Wang H, Yang S, Lv Z, Hu Z, Wang Z (2022) Fault analysis of wind power rolling bearing based on EMD feature extraction. CMES-Computer Modeling in Engineering & Sciences 130(1):543–558
Acknowledgments
This work was financially supported by the Natural Science Foundation of Shandong province under Grant ZR2020MF033, the project of National Bureau of Statistics of China (No.2019LZ10),the Project of National Natural Science Foundation of China (No. 61502280, No. 61472228). The General project of science and Technology Plan of Beijing Municipal Commission of Education (KM202010017001).
Author information
Authors and 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
Li, M., Yan, C., Liu, W. et al. Fault diagnosis model of rolling bearing based on parameter adaptive AVMD algorithm. Appl Intell 53, 3150–3165 (2023). https://doi.org/10.1007/s10489-022-03562-9
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10489-022-03562-9