Technical Papers
Dec 17, 2021

Explicit Model of Outcrossing Rate for Time-Variant Reliability

Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 8, Issue 1

Abstract

The usual approach to time-variant reliability problems is PHI2 method, which defines the outcrossing rate as a two-component parallel system problem and calculates it through a two-dimensional numerical integration. To improve the computational efficiency, an explicit model of outcrossing rate is proposed in this study, which is referred to as EPHI2. Based on the proposed explicit model, EPHI2 method avoids the numerical integration required in PHI2 method. Comparison between the outcrossing rates obtained by PHI2 and EPHI2 methods was conducted, and EPHI2 method was proved to have enough accuracy for calculating outcrossing rates. The application of EPHI2 method for time-variant reliability analysis was investigated through three numerical examples. It is found that the proposed EPHI2 method is more efficient than PHI2 method in time-variant reliability analysis, with the results nearly the same.

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Data Availability Statement

All data, models, and code used during the study are available from the corresponding author upon reasonable request.

Acknowledgments

The study is partially supported by the National Natural Science Foundation of China (Grant Nos. 51738001, 52108104, 51820105014, and U19342171), and the Science and Technology Research and Development Program Project of China Railway Group Limited (Major Special Project No. 2020-Special-02). The supports are gratefully acknowledged.

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Go to ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 8Issue 1March 2022

History

Received: Dec 31, 2020
Accepted: Oct 5, 2021
Published online: Dec 17, 2021
Published in print: Mar 1, 2022
Discussion open until: May 17, 2022

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Authors

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Xiang-Wei Li [email protected]
Graduate Student, Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing Univ. of Technology, Beijing 100124, China. Email: [email protected]
Yan-Gang Zhao, M.ASCE [email protected]
Professor, Dept. of Architecture, Kanagawa Univ., Yokohama 221-8686, Japan; Professor, Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing Univ. of Technology, Beijing 100124, China. Email: [email protected]
Xuan-Yi Zhang [email protected]
Lecturer, Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing Univ. of Technology, Beijing 100124, China (corresponding author). Email: [email protected]
Zhao-Hui Lu [email protected]
Professor, Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing Univ. of Technology, Beijing 100124, China; Professor, School of Civil Engineering, Central South Univ., Changsha 410075, China. Email: [email protected]

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