A novel failure time estimation method for degradation analysis based on general nonlinear Wiener processes. (February 2023)

• Record Type: Journal Article
• Authors: Zhang, Ao; Wang, Zhihua; Bao, Rui; Liu, Chengrui; Wu, Qiong; Cao, Shihao
• Is Part Of: Reliability engineering & system safety. Volume 230(2023)
• Publication Date: 2023-02
• Subjects: Nonlinear degradation -- Wiener process -- Analytical failure time distribution -- First hitting time; Reliability (Engineering) -- Periodicals; System safety -- Periodicals; Industrial safety -- Periodicals; Fiabilité -- Périodiques; Sécurité des systèmes -- Périodiques; Sécurité du travail -- Périodiques; 620.00452
• DOI: 10.1016/j.ress.2022.108913
• Languages: English
• ISSNs: 0951-8320

Abstract

Highlights: An approximation of FHT's distribution for nonlinear Wiener processes is proposed. Comprehensive simulations demonstrate the effectiveness of the approximation. Real application shows the usefulness of the proposed reliability analysis method. Abstract: Nonlinear Wiener processes have been widely applied for degradation analysis in practical engineering. To improve the accuracy of failure time distribution approximation itself, a novel analytical approximation of the distribution under the concept of first hitting time (FHT) is constructed through a unique tangent treatment. A series of comprehensive simulation studies are implemented to demonstrate the effectiveness and accuracy improvement of the proposed approximation. Results show that the proposed method can guarantee improved accuracy under various nonlinear regulations and uncertainties. The feasibility and validity of the general deterioration model and reliability analysis methodology are illustrated by a typical real application of metal fatigue crack growth.