Abstract
In this paper, an improved time-variant reliability analysis method based on stochastic process discretization (iTRPD) 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 iTRPD 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.
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Acknowledgements
This work is supported by the National Key Research and Development Project of China (2016YFD0701105), the National Science Fund for Distinguished Young Scholars (51725502), and the Science Challenge Project (TZ2018007).
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Jiang, C., Wei, X.P., Wu, B. et al. An improved TRPD method for time-variant reliability analysis. Struct Multidisc Optim 58, 1935–1946 (2018). https://doi.org/10.1007/s00158-018-2002-7
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DOI: https://doi.org/10.1007/s00158-018-2002-7