An efficient reliability analysis method for structures with hybrid time-dependent uncertainty

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

Externe Organisationen

  • Hunan University
  • The University of Liverpool
  • Tongji University
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Details

OriginalspracheEnglisch
Aufsatznummer108794
FachzeitschriftReliability Engineering and System Safety
Jahrgang228
Frühes Online-Datum28 Aug. 2022
PublikationsstatusVeröffentlicht - Dez. 2022

Abstract

Performing time-dependent reliability analysis is an effective way to estimate the failure probability of structural system throughout its lifetime. In the engineering practices, uncertain parameters with sufficient sample and limited sample may exist simultaneously. The uncertain parameters with limited sample data are difficult to construct its precise probabilistic characteristics during estimating the accurate time-dependent reliability. To address this issue, this paper first develops a new hybrid time-dependent reliability model involving interval processes. Then, to reduce the high dimensionality, an extension method based on equivalent stochastic process transformation approach is proposed to transform the stochastic processes and the interval processes into corresponding equivalent random variables respectively. In particular, an instantaneous reliability model is constructed to envelope all potential system failures that may occur during the time interval. In order to identify the instantaneous failure surface accurately, an active learning method is proposed based on the deep neural network model and the weighted sampling method. With the constructed deep neural network model, the new hybrid time-dependent reliability can be evaluated by performing the Monte Carlo Sampling. Three numerical examples are used to verify the accuracy and efficiency of the proposed method.

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An efficient reliability analysis method for structures with hybrid time-dependent uncertainty. / Zhang, Kun; Chen, Ning; Zeng, Peng et al.
in: Reliability Engineering and System Safety, Jahrgang 228, 108794, 12.2022.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Zhang K, Chen N, Zeng P, Liu J, Beer M. An efficient reliability analysis method for structures with hybrid time-dependent uncertainty. Reliability Engineering and System Safety. 2022 Dez;228:108794. Epub 2022 Aug 28. doi: 10.1016/j.ress.2022.108794
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abstract = "Performing time-dependent reliability analysis is an effective way to estimate the failure probability of structural system throughout its lifetime. In the engineering practices, uncertain parameters with sufficient sample and limited sample may exist simultaneously. The uncertain parameters with limited sample data are difficult to construct its precise probabilistic characteristics during estimating the accurate time-dependent reliability. To address this issue, this paper first develops a new hybrid time-dependent reliability model involving interval processes. Then, to reduce the high dimensionality, an extension method based on equivalent stochastic process transformation approach is proposed to transform the stochastic processes and the interval processes into corresponding equivalent random variables respectively. In particular, an instantaneous reliability model is constructed to envelope all potential system failures that may occur during the time interval. In order to identify the instantaneous failure surface accurately, an active learning method is proposed based on the deep neural network model and the weighted sampling method. With the constructed deep neural network model, the new hybrid time-dependent reliability can be evaluated by performing the Monte Carlo Sampling. Three numerical examples are used to verify the accuracy and efficiency of the proposed method.",
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author = "Kun Zhang and Ning Chen and Peng Zeng and Jian Liu and Michael Beer",
note = "Funding Information: The paper is supported by the National Natural Science Foundation of China (Grant No. 51905162 ), the Foundation for Innovative Research Groups of the National Natural Science Foundation of China (Grant No. 51621004 ) and the Natural Science Foundation of Hunan Province (Grant No. 2022JJ30132 ). The author would also like to thank reviewers for their valuable suggestions. ",
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AU - Zhang, Kun

AU - Chen, Ning

AU - Zeng, Peng

AU - Liu, Jian

AU - Beer, Michael

N1 - Funding Information: The paper is supported by the National Natural Science Foundation of China (Grant No. 51905162 ), the Foundation for Innovative Research Groups of the National Natural Science Foundation of China (Grant No. 51621004 ) and the Natural Science Foundation of Hunan Province (Grant No. 2022JJ30132 ). The author would also like to thank reviewers for their valuable suggestions.

PY - 2022/12

Y1 - 2022/12

N2 - Performing time-dependent reliability analysis is an effective way to estimate the failure probability of structural system throughout its lifetime. In the engineering practices, uncertain parameters with sufficient sample and limited sample may exist simultaneously. The uncertain parameters with limited sample data are difficult to construct its precise probabilistic characteristics during estimating the accurate time-dependent reliability. To address this issue, this paper first develops a new hybrid time-dependent reliability model involving interval processes. Then, to reduce the high dimensionality, an extension method based on equivalent stochastic process transformation approach is proposed to transform the stochastic processes and the interval processes into corresponding equivalent random variables respectively. In particular, an instantaneous reliability model is constructed to envelope all potential system failures that may occur during the time interval. In order to identify the instantaneous failure surface accurately, an active learning method is proposed based on the deep neural network model and the weighted sampling method. With the constructed deep neural network model, the new hybrid time-dependent reliability can be evaluated by performing the Monte Carlo Sampling. Three numerical examples are used to verify the accuracy and efficiency of the proposed method.

AB - Performing time-dependent reliability analysis is an effective way to estimate the failure probability of structural system throughout its lifetime. In the engineering practices, uncertain parameters with sufficient sample and limited sample may exist simultaneously. The uncertain parameters with limited sample data are difficult to construct its precise probabilistic characteristics during estimating the accurate time-dependent reliability. To address this issue, this paper first develops a new hybrid time-dependent reliability model involving interval processes. Then, to reduce the high dimensionality, an extension method based on equivalent stochastic process transformation approach is proposed to transform the stochastic processes and the interval processes into corresponding equivalent random variables respectively. In particular, an instantaneous reliability model is constructed to envelope all potential system failures that may occur during the time interval. In order to identify the instantaneous failure surface accurately, an active learning method is proposed based on the deep neural network model and the weighted sampling method. With the constructed deep neural network model, the new hybrid time-dependent reliability can be evaluated by performing the Monte Carlo Sampling. Three numerical examples are used to verify the accuracy and efficiency of the proposed method.

KW - Active learning

KW - Deep neural network

KW - Hybrid uncertain model

KW - Time-dependent reliability analysis

KW - Weighted sampling.

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