Time-variant reliability problems caused by deterioration in material properties, dynamic load uncertainty, and other causes are widespread among practical engineering applications. This study proposes a novel time-variant reliability analysis method based on stochastic process discretization (TRPD), which provides an effective analytical tool for assessing design reliability over the whole lifecycle of a complex structure. Using time discretization, a stochastic process can be converted into random variables, thereby transforming a time-variant reliability problem into a conventional time-invariant system reliability problem. By linearizing the limit-state function with the first-order reliability method (FORM) and furthermore, introducing a new random variable, the converted system reliability problem can be efficiently solved. The TRPD avoids the calculation of outcrossing rates, which simplifies the process of solving time-variant reliability problems and produces high computational efficiency. Finally, three numerical examples are used to verify the effectiveness of this approach.
A Time-Variant Reliability Analysis Method Based on Stochastic Process Discretization
Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received August 24, 2013; final manuscript received May 12, 2014; published online July 2, 2014. Assoc. Editor: Xiaoping Du.
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Jiang, C., Huang, X. P., Han, X., and Zhang, D. Q. (July 2, 2014). "A Time-Variant Reliability Analysis Method Based on Stochastic Process Discretization." ASME. J. Mech. Des. September 2014; 136(9): 091009. https://doi.org/10.1115/1.4027865
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