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Open Access

Remaining useful life prediction for hydraulic spool valve based on physics-informed Gamma process

Shaoyang DUaChao ZHANGa,bShaoping WANGa,b( )Rentong CHENa,cYuwei ZHANGaRui MUa
School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China
Ningbo Institute of Technology, Beihang University, Ningbo 315800, China
State Key Laboratory of Mechanical Transmission for Advanced Equipment, Chongqing University, Chongqing 400044, China

This article is part of a special issue entitled: ‘Key Technologies in Aerospace Science’ published in Chinese Journal of Aeronautics.

☆☆ Peer review under responsibility of Editorial Committee of CJA.

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Abstract

Internal leakage caused by wear in hydraulic spool valves represents a critical failure mode that threatens the performance of aircraft hydraulic systems and compromises flight safety. Due to complex operational loads and time-varying material properties, the relationship between wear state and Remaining Useful Life (RUL) is nonlinear. Consequently, accurately modeling this wear remains a significant challenge, as existing research often neglects the coupled effects of material properties, stress conditions, and dynamic lubrication parameters. To address this issue, this study proposes a novel framework integrating physical mechanisms with stochastic processes to enhance wear degradation modelling and RUL prediction. First, a Physics-of-Failure (PoF) model is developed based on Archard’s wear theory, which characterizes tribological behavior at the contact interface and accounts for the effects of lubrication and load conditions. Next, a Gamma process is introduced to model the degradation trajectory, with physical parameters guiding the specification of the time-scale function. A Bayesian expectation–maximization algorithm is employed to estimate and update the model parameters. Finally, a numerical simulation and case study on spool valves are conducted to demonstrate the effectiveness of the proposed model. The cross-validation results confirmed that the introduction of random effects effectively reduces the impact of uncertainty on physics-informed modeling. This study offers a systematic solution to RUL prediction for hydraulic systems.

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Chinese Journal of Aeronautics

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Cite this article:
DU S, ZHANG C, WANG S, et al. Remaining useful life prediction for hydraulic spool valve based on physics-informed Gamma process. Chinese Journal of Aeronautics, 2026, 39(3). https://doi.org/10.1016/j.cja.2025.103824

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Received: 20 March 2025
Revised: 28 April 2025
Accepted: 20 June 2025
Published: 12 September 2025
© 2025 The Authors. Chinese Society of Aeronautics and Astronautics.

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).