An improved TRPD method for time-variant reliability analysis

An improved TRPD method for time-variant reliability analysis In this paper, an improved time-variant reliability analysis method based on stochastic process discretization (iTRPD) is pro- posed. 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 correspond- ing 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. . . . Keywords Time-variant reliability System reliability Stochastic process discretization FORM 1 Introduction al. 1995) proposed approximations of first-passage times for differentiable processes based on higher-order threshold cross- Due to random loads, deterioration of material properties and ings. Schall et al. (Schall et al. 1991) and Rackwitz (Rackwitz other uncertain factors, the reliability of engineering structures 1998) applied the outcrossing rate method to address dynamic usually decreases with http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Structural and Multidisciplinary Optimization Springer Journals

An improved TRPD method for time-variant reliability analysis

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Publisher
Springer Berlin Heidelberg
Copyright
Copyright © 2018 by Springer-Verlag GmbH Germany, part of Springer Nature
Subject
Engineering; Theoretical and Applied Mechanics; Computational Mathematics and Numerical Analysis; Engineering Design
ISSN
1615-147X
eISSN
1615-1488
D.O.I.
10.1007/s00158-018-2002-7
Publisher site
See Article on Publisher Site

Abstract

In this paper, an improved time-variant reliability analysis method based on stochastic process discretization (iTRPD) is pro- posed. 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 correspond- ing 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. . . . Keywords Time-variant reliability System reliability Stochastic process discretization FORM 1 Introduction al. 1995) proposed approximations of first-passage times for differentiable processes based on higher-order threshold cross- Due to random loads, deterioration of material properties and ings. Schall et al. (Schall et al. 1991) and Rackwitz (Rackwitz other uncertain factors, the reliability of engineering structures 1998) applied the outcrossing rate method to address dynamic usually decreases with

Journal

Structural and Multidisciplinary OptimizationSpringer Journals

Published: May 30, 2018

References

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