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Article

Prediction of the Remaining Life of Rolling Bearings Based on Health Indicators and Temporal Attention Networks

by
Jiale Bai
and
Hailong Deng
*
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 / Revised: 9 June 2026 / Accepted: 9 June 2026 / 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.
Keywords: rolling bearing; remaining useful life prediction; health indicator construction; temporal attention; transformer encoder; prognostics and health management; cross-domain generalization rolling bearing; remaining useful life prediction; health indicator construction; temporal attention; transformer encoder; prognostics and health management; cross-domain generalization

Share and Cite

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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