IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v239y2023ics0951832023004428.html

Hybrid system response model for condition monitoring of bearings under time-varying operating conditions

Author

Listed:
  • Zhou, Haoxuan
  • Wang, Bingsen
  • Zio, Enrico
  • Wen, Guangrui
  • Liu, Zimin
  • Su, Yu
  • Chen, Xuefeng

Abstract

Condition monitoring (CM) plays a vital role in machine maintenance for ensuring the system's operating reliability and safety as fault detection and health degradation representation can be achieved through it. Nevertheless, Equipment such as wind turbines often operate under time-varying operating conditions (TVOCs), and traditional CM methods are challenged under these circumstances. This paper proposes a novel method for dealing with TVOCs in CM. The proposed method is based on a neural network and a state-space model(SSM), to build a hybrid system response model for describing the operating process of the equipment under TVOCs. Dual extended Kalman filtering is used to solve the dual parameters estimation problem. Finally, the estimated neural network parameters are used as the representation of the health state, and the health indicator (HI) is constructed for real-time monitoring through dimension reduction of the neural network parameters. Experiments on accelerated fatigue degradation of bearings validate the effectiveness and superiority of the proposed method, as an effective HI with TVOCs interference eliminated, compared with both the physical-based and data-driven methods.

Suggested Citation

  • Zhou, Haoxuan & Wang, Bingsen & Zio, Enrico & Wen, Guangrui & Liu, Zimin & Su, Yu & Chen, Xuefeng, 2023. "Hybrid system response model for condition monitoring of bearings under time-varying operating conditions," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
  • Handle: RePEc:eee:reensy:v:239:y:2023:i:c:s0951832023004428
    DOI: 10.1016/j.ress.2023.109528
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832023004428
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ress.2023.109528?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Zio, Enrico, 2022. "Prognostics and Health Management (PHM): Where are we and where do we (need to) go in theory and practice," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    2. Zhang, Yong & Xin, Yuqi & Liu, Zhi-wei & Chi, Ming & Ma, Guijun, 2022. "Health status assessment and remaining useful life prediction of aero-engine based on BiGRU and MMoE," Reliability Engineering and System Safety, Elsevier, vol. 220(C).
    3. Chen, Zhen & Zhou, Di & Zio, Enrico & Xia, Tangbin & Pan, Ershun, 2023. "Adaptive transfer learning for multimode process monitoring and unsupervised anomaly detection in steam turbines," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    4. Chen, Dingliang & Cai, Wei & Yu, Hangjun & Wu, Fei & Qin, Yi, 2023. "A novel transfer gear life prediction method by the cross-condition health indicator and nested hierarchical binary-valued network," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    5. Shao, Kaixuan & He, Yigang & Xing, Zhikai & Du, Bolun, 2023. "Detecting wind turbine anomalies using nonlinear dynamic parameters-assisted machine learning with normal samples," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    6. Tao, Tao & Zio, Enrico & Zhao, Wei, 2018. "A novel support vector regression method for online reliability prediction under multi-state varying operating conditions," Reliability Engineering and System Safety, Elsevier, vol. 177(C), pages 35-49.
    7. González-Muñiz, Ana & Díaz, Ignacio & Cuadrado, Abel A. & García-Pérez, Diego, 2022. "Health indicator for machine condition monitoring built in the latent space of a deep autoencoder," Reliability Engineering and System Safety, Elsevier, vol. 224(C).
    8. Li, Xilin & Teng, Wei & Peng, Dikang & Ma, Tao & Wu, Xin & Liu, Yibing, 2023. "Feature fusion model based health indicator construction and self-constraint state-space estimator for remaining useful life prediction of bearings in wind turbines," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    9. Liu, Yi & Xiang, Hang & Jiang, Zhansi & Xiang, Jiawei, 2023. "Second-order transient-extracting S transform for fault feature extraction in rolling bearings," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    10. Yang, Zhe & Baraldi, Piero & Zio, Enrico, 2022. "A method for fault detection in multi-component systems based on sparse autoencoder-based deep neural networks," Reliability Engineering and System Safety, Elsevier, vol. 220(C).
    11. Haoxuan Zhou & Zihao Lei & Enrico Zio & Guangrui Wen & Zimin Liu & Yu Su & Xuefeng Chen, 2023. "Conditional feature disentanglement learning for anomaly detection in machines operating under time-varying conditions," Post-Print hal-04103555, HAL.
    12. Kumar, Anil & Parkash, Chander & Vashishtha, Govind & Tang, Hesheng & Kundu, Pradeep & Xiang, Jiawei, 2022. "State-space modeling and novel entropy-based health indicator for dynamic degradation monitoring of rolling element bearing," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    13. Wen, Pengfei & Zhao, Shuai & Chen, Shaowei & Li, Yong, 2021. "A generalized remaining useful life prediction method for complex systems based on composite health indicator," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    14. Li, Naipeng & Gebraeel, Nagi & Lei, Yaguo & Bian, Linkan & Si, Xiaosheng, 2019. "Remaining useful life prediction of machinery under time-varying operating conditions based on a two-factor state-space model," Reliability Engineering and System Safety, Elsevier, vol. 186(C), pages 88-100.
    15. Bai, Ruxue & Meng, Zong & Xu, Quansheng & Fan, Fengjie, 2023. "Fractional Fourier and time domain recurrence plot fusion combining convolutional neural network for bearing fault diagnosis under variable working conditions," Reliability Engineering and System Safety, Elsevier, vol. 232(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhou, Haoxuan & Wang, Bingsen & Zio, Enrico & Lei, Zihao & Wen, Guangrui & Chen, Xuefeng, 2025. "Unsupervised anomaly detection of machines operating under time-varying conditions: DCD-VAE enabled feature disentanglement of operating conditions and states," Reliability Engineering and System Safety, Elsevier, vol. 256(C).
    2. Hu, Di & Zhang, Chen & Yang, Tao & Fang, Qingyan, 2025. "A deep autoencoder with structured latent space for process monitoring and anomaly detection in coal-fired power units," Reliability Engineering and System Safety, Elsevier, vol. 261(C).
    3. Maneckshaw, B. & Mahapatra, G.S., 2024. "Crossover point analysis with Jensen-Shannon divergence lower bound for bi-objective reliability optimization of k-out-of-n system," Reliability Engineering and System Safety, Elsevier, vol. 252(C).
    4. Liao, Jing & Peng, Tao & Xu, Yansong & Gui, Gui & Yang, Chao & Yang, Chunhua & Gui, Weihua, 2024. "Task-orientated probabilistic damage model with interdependent degradation behaviors for RUL prediction of traction converter systems," Reliability Engineering and System Safety, Elsevier, vol. 250(C).
    5. Xu, Xinlei & Zhang, Junhui & Huang, Weidi & Yu, Bin & Lyu, Fei & Zhang, Xiaolong & Xu, Bing, 2024. "The loose slipper fault diagnosis of variable-displacement pumps under time-varying operating conditions," Reliability Engineering and System Safety, Elsevier, vol. 252(C).
    6. Xie, Bin & Wang, Yanzhong & Zhu, Yunyi & E, Shiyuan & Wu, Yu, 2025. "Vibration response-based time-variant reliability and sensitivity analysis of rolling bearings using the first-passage method," Reliability Engineering and System Safety, Elsevier, vol. 256(C).
    7. Dinh, Duc-Hanh & Do, Phuc & Hoang, Van-Thanh & Vo, Nhu-Thanh & Bang, Tao Quang, 2024. "A predictive maintenance policy for manufacturing systems considering degradation of health monitoring device," Reliability Engineering and System Safety, Elsevier, vol. 248(C).
    8. Hu, Wenyang & Frusque, Gaetan & Wang, Tianyang & Chu, Fulei & Fink, Olga, 2025. "Classifier-free diffusion-based weakly-supervised approach for health indicator derivation in rotating machines: Advancing early fault detection and condition monitoring," Reliability Engineering and System Safety, Elsevier, vol. 264(PB).
    9. Kim, Gyeongho & Kang, Yun Seok & Yang, Sang Min & Choi, Jae Gyeong & Hwang, Gahyun & Park, Hyung Wook & Lim, Sunghoon, 2025. "Fisher-informed continual learning for remaining useful life prediction of machining tools under varying operating conditions," Reliability Engineering and System Safety, Elsevier, vol. 253(C).
    10. Yang, Jiahong & Zhou, Jianghong & Chai, Yi & Chen, Dingliang & Qin, Yi, 2025. "Benchmark transformation neural network for health indicator construction under time-varying speed and its application in machinery prognostics," Reliability Engineering and System Safety, Elsevier, vol. 257(PA).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhou, Haoxuan & Wang, Bingsen & Zio, Enrico & Lei, Zihao & Wen, Guangrui & Chen, Xuefeng, 2025. "Unsupervised anomaly detection of machines operating under time-varying conditions: DCD-VAE enabled feature disentanglement of operating conditions and states," Reliability Engineering and System Safety, Elsevier, vol. 256(C).
    2. Sun, Tongda & Yin, Chen & Zheng, Huailiang & Dong, Yining, 2025. "An unsupervised framework for dynamic health indicator construction and its application in rolling bearing prognostics," Reliability Engineering and System Safety, Elsevier, vol. 260(C).
    3. Tang, Shengnan & Zhu, Yong & Yuan, Shouqi, 2022. "Intelligent fault identification of hydraulic pump using deep adaptive normalized CNN and synchrosqueezed wavelet transform," Reliability Engineering and System Safety, Elsevier, vol. 224(C).
    4. Bajarunas, Kristupas & Baptista, Marcia L. & Goebel, Kai & Chao, Manuel Arias, 2024. "Health index estimation through integration of general knowledge with unsupervised learning," Reliability Engineering and System Safety, Elsevier, vol. 251(C).
    5. Wu, Bin & Zhang, Xiaohong & Shi, Hui & Zeng, Jianchao, 2024. "Failure mode division and remaining useful life prognostics of multi-indicator systems with multi-fault," Reliability Engineering and System Safety, Elsevier, vol. 244(C).
    6. Xu, Xinlei & Zhang, Junhui & Huang, Weidi & Yu, Bin & Lyu, Fei & Zhang, Xiaolong & Xu, Bing, 2024. "The loose slipper fault diagnosis of variable-displacement pumps under time-varying operating conditions," Reliability Engineering and System Safety, Elsevier, vol. 252(C).
    7. Zhu, Yunyi & Xie, Bin & Wang, Anqi & Qian, Zheng, 2025. "Wind turbine fault detection and identification via self-attention-based dynamic graph representation learning and variable-level normalizing flow," Reliability Engineering and System Safety, Elsevier, vol. 253(C).
    8. Kamei, Sayaka & Taghipour, Sharareh, 2023. "A comparison study of centralized and decentralized federated learning approaches utilizing the transformer architecture for estimating remaining useful life," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    9. Li, Yan-Fu & Zhao, Wei & Zhang, Chen & Ye, Jiantao & He, Huiru, 2024. "A study on the prediction of service reliability of wireless telecommunication system via distribution regression," Reliability Engineering and System Safety, Elsevier, vol. 250(C).
    10. Wang, Weicheng & Chen, Jinglong & Zhang, Tianci & Liu, Zijun & Wang, Jun & Zhang, Xinwei & He, Shuilong, 2023. "An asymmetrical graph Siamese network for one-classanomaly detection of engine equipment with multi-source fusion," Reliability Engineering and System Safety, Elsevier, vol. 235(C).
    11. Wang, Chu & Dou, Manfeng & Li, Zhongliang & Outbib, Rachid & Zhao, Dongdong & Zuo, Jian & Wang, Yuanlin & Liang, Bin & Wang, Peng, 2023. "Data-driven prognostics based on time-frequency analysis and symbolic recurrent neural network for fuel cells under dynamic load," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    12. Li, Naipeng & Gebraeel, Nagi & Lei, Yaguo & Fang, Xiaolei & Cai, Xiao & Yan, Tao, 2021. "Remaining useful life prediction based on a multi-sensor data fusion model," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
    13. Hu, Di & Zhang, Chen & Yang, Tao & Fang, Qingyan, 2025. "A deep autoencoder with structured latent space for process monitoring and anomaly detection in coal-fired power units," Reliability Engineering and System Safety, Elsevier, vol. 261(C).
    14. Zhou, Liang & Wang, Huawei, 2024. "An adaptive multi-scale feature fusion and adaptive mixture-of-experts multi-task model for industrial equipment health status assessment and remaining useful life prediction," Reliability Engineering and System Safety, Elsevier, vol. 248(C).
    15. Coraça, Eduardo M. & Ferreira, Janito V. & Nóbrega, Eurípedes G.O., 2023. "An unsupervised structural health monitoring framework based on Variational Autoencoders and Hidden Markov Models," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    16. Yang, Ningning & Wang, Zhijian & Cai, Wenan & Li, Yanfeng, 2023. "Data Regeneration Based on Multiple Degradation Processes for Remaining Useful Life Estimation," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    17. Zheng, Shuwen & Wang, Chong & Zio, Enrico & Liu, Jie, 2024. "Fault detection in complex mechatronic systems by a hierarchical graph convolution attention network based on causal paths," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
    18. Liu, Ze-Zhou & Sun, Tao & Sun, Xi-Ming, 2025. "A spatial–temporal graph structure automatic feedback learning system with tensor fusion and its application on engine RUL prediction," Energy, Elsevier, vol. 334(C).
    19. Pinciroli, Luca & Baraldi, Piero & Zio, Enrico, 2023. "Maintenance optimization in industry 4.0," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    20. Huang, Zhifu & Yang, Yang & Hu, Yawei & Ding, Xiang & Li, Xuanlin & Liu, Yongbin, 2023. "Attention-augmented recalibrated and compensatory network for machine remaining useful life prediction," Reliability Engineering and System Safety, Elsevier, vol. 235(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:reensy:v:239:y:2023:i:c:s0951832023004428. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/reliability-engineering-and-system-safety .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.