A non-probabilistic time-variant method for structural reliability analysis

Tengda Xin, Jiguang Zhao, Cunyan Cui and Yongsheng Duan

Journal of Risk and Reliability, 2020, vol. 234, issue 5, 664-675

Abstract: Time-variant reliability problems commonly occur in practical engineering due to the deterioration in material properties, external disturbance and other uncertain factors. Considering the non-probabilistic method can effectively deal with the uncertainties in reliability analysis. Based on the stress–strength interference method and interval method, a time-variant stress–strength interference interval model is established by considering the stress and strength as time-variant intervals. And then, the stress and strength intervals are converted into the normalized intervals to define the non-probabilistic time-variant reliability index η according to the different relationships between the limit state function and the normalized intervals. The structural state at any time can be described by the non-probabilistic time-variant reliability index η ∈ [ 0 , + ∞ ) . In addition, a strength power exponential degradation model is given as an example to clearly verify the non-probabilistic time-variant method, and the analysis results are compared with the interval method, the uniform distribution stress–strength interference method and the normal distribution stress–strength interference method, which confirm that the non-probabilistic time-variant method is feasible and valid to analyze the structural time-variant reliability without the probability density functions of the parameters.

Keywords: Time-variant; non-probabilistic; reliability analysis; stress–strength interference method; interval method (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:sae:risrel:v:234:y:2020:i:5:p:664-675

DOI: 10.1177/1748006X20928196

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