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Open AccessArticle
Prediction of the Remaining Life of Rolling Bearings Based on Health Indicators and Temporal Attention Networks
by
Jiale Bai
Jiale Bai
Jiale Bai is currently an undergraduate student at the Inner Mongolia University of Technology, he a [...]
Jiale Bai is currently an undergraduate student at the Inner Mongolia University of Technology, where he is pursuing his bachelor’s degree. As a junior researcher in the early stages of his academic journey, he has not yet accumulated formal work experience or held any previous positions. His primary focus lies in building a solid foundation in his chosen field of study through coursework and self-directed learning. While he does not currently hold membership in professional societies or possess any awards or honors, he is actively engaged in his academic curriculum and seeks opportunities to develop practical skills and theoretical knowledge. He is committed to making steady progress in his educational endeavors and exploring potential research interests under the guidance of his professors.
and
Hailong Deng
Hailong Deng
Dr. Deng Hailong, Associate Professor & Doctoral Supervisor, School of Mechanical Engineering, Inner [...]
Dr. Deng Hailong, Associate Professor & Doctoral Supervisor, School of Mechanical Engineering, Inner Mongolia University of Technology. Personal Information: Deng Hailong, male, of Han ethnicity, was born in March 1986 in Tai’an City, Shandong Province. He holds a Ph.D. degree and currently works as an Associate Professor, Senior Engineer, and Doctoral Supervisor in the Department of Mechanical Engineering, School of Mechanical Engineering, Inner Mongolia University of Technology. Education: Ph.D. in Power Machinery and Engineering, School of Mechanical and Vehicle Engineering, Beijing Institute of Technology (2013–2017); M.E. in Mechanical Engineering, Inner Mongolia University of Technology (2010–2013); B.E. in Mechanical Manufacturing and Automation, University of Jinan (2006–2010).
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School of Mechanical Engineering, Inner Mongolia University of Technology, Hohhot 010051, China
*
Author to whom correspondence should be addressed.
Appl. Sci. 2026, 16(12), 5871; https://doi.org/10.3390/app16125871 (registering DOI)
Submission received: 28 April 2026
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Revised: 9 June 2026
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Accepted: 9 June 2026
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Published: 10 June 2026
Abstract
Accurate remaining useful life (RUL) prediction of rolling bearings was essential for condition-based maintenance because bearing service degradation was primarily governed by progressive rolling-contact fatigue at the rollingelement–raceway interface, whereas vibration signals provided measurable responses to this degradation rather than being its physical cause. However, reliable RUL prediction remained challenging because vibration measurements were noisy, nonlinear, stage-dependent, and sensitive to operating-condition shifts. In this study, a health-indicator-guided temporal-attention framework was developed for bearing RUL prediction using public run-to-failure vibration datasets. The novelty of this work lay in integrating degradation-consistent health indicator construction, sliding-window life-cycle representation, and HI-guided temporal attention into a unified and interpretable prediction framework. First, degradation-sensitive vibration features were extracted and fused into a compact health indicator (HI) to represent the progressive deterioration trend. Then, sliding-window sequences were generated and processed by a Transformer-based temporal-attention network, through which long-range temporal dependencies were captured and higher weights were assigned to informative degradation segments near stage transitions and late-life acceleration. Experiments on the XJTU-SY and IMS datasets showed that the proposed method improved prediction stability, reduced late-life error amplification, and achieved better performance than baseline variants without HI or temporal attention. Ablation analysis confirmed that HI construction mitigated cross-stage drift, whereas temporal attention enhanced transition sensitivity during accelerated degradation. Robustness and cross-domain tests further indicated that the method maintained acceptable degradation-following behavior under noise perturbations and operating-condition changes, although explicit domain-adaptation mechanisms were still required for strongly shifted target domains.
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MDPI and ACS Style
Bai, J.; Deng, H.
Prediction of the Remaining Life of Rolling Bearings Based on Health Indicators and Temporal Attention Networks. Appl. Sci. 2026, 16, 5871.
https://doi.org/10.3390/app16125871
AMA Style
Bai J, Deng H.
Prediction of the Remaining Life of Rolling Bearings Based on Health Indicators and Temporal Attention Networks. Applied Sciences. 2026; 16(12):5871.
https://doi.org/10.3390/app16125871
Chicago/Turabian Style
Bai, Jiale, and Hailong Deng.
2026. "Prediction of the Remaining Life of Rolling Bearings Based on Health Indicators and Temporal Attention Networks" Applied Sciences 16, no. 12: 5871.
https://doi.org/10.3390/app16125871
APA Style
Bai, J., & Deng, H.
(2026). Prediction of the Remaining Life of Rolling Bearings Based on Health Indicators and Temporal Attention Networks. Applied Sciences, 16(12), 5871.
https://doi.org/10.3390/app16125871
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