Journal
JOURNAL OF MECHANICAL DESIGN
Volume 136, Issue 9, Pages -Publisher
ASME
DOI: 10.1115/1.4027865
Keywords
time-variant reliability; time-invariant reliability; stochastic process; out-crossing rate; FORM
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Funding
- National Science Foundation for Excellent Young Scholars [51222502]
- National Science Foundation of China [11172096]
- program for Century Excellent Talents in University [NCET-11-0124]
- Fok Ying-Tong Education Foundation, China [131005]
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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 out-crossing 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.
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