An improved TRPD method for time-variant reliability analysis

• Published in: Structural and multidisciplinary optimization Vol. 58; no. 5; pp. 1935 - 1946
• Main Authors: Jiang, C., Wei, X. P., Wu, B., Huang, Z. L.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2018; Springer Nature B.V
• Subjects: Component reliability; Computational Mathematics and Numerical Analysis; Correlation coefficients; Engineering; Engineering Design; Mathematical analysis; Matrix algebra; Matrix methods; Reliability analysis; Research Paper; Stochastic processes; System reliability; Theoretical and Applied Mechanics; Stochastic process discretization; System reliability; FORM; Time-variant reliability
• ISSN: 1615-147X; 1615-1488
• DOI: 10.1007/s00158-018-2002-7

In this paper, an improved time-variant reliability analysis method based on stochastic process discretization ( i TRPD) is proposed. Firstly, the time-variant reliability problem is transformed into a time-invariant series system reliability problem. Then the first order reliability method (FORM) is employed to analyze the reliability of each component of the system, and a corresponding approach is given to calculate the correlation coefficient matrix of all the components’ performance functions. Finally, the target time-variant reliability can be obtained with the reliability index vector and the correlation coefficient matrix of the involved components. In this study, the i TRPD is further applied to the system reliability problems, and hence a corresponding time-variant system reliability analysis method is also developed. Four numerical examples are investigated to demonstrate the effectiveness of the proposed methods.