Multi-scale stochastic dynamic response analysis of offshore risers with lognormal uncertainties

Ni, Pinghe; Xia, Yong; Li, Jun; Hao, Hong; Bi, Kaiming; Zuo, Haoran

doi:10.1016/j.oceaneng.2019.106333

Cited by 10 publications

(2 citation statements)

References 42 publications

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“…The method for the calculation of PC coefficients can be classified into intrusive‐ and nonintrusive‐based methods 23 . In the intrusive method, Galerkin projection method is applied to the differential equation, which results in large coupled differential equations 24 . In the nonintrusive regression method, PC coefficients can be estimated by minimizing the sum square error of the response approximation.…”

Section: Introductionmentioning

confidence: 99%

“…23 In the intrusive method, Galerkin projection method is applied to the differential equation, which results in large coupled differential equations. 24 In the nonintrusive regression method, PC coefficients can be estimated by minimizing the sum square error of the response approximation. When the number of designs of experiments is larger than the number of PC coefficients, the unknown PC coefficients can be estimated with the classic least square method.…”

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confidence: 99%

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Reliability analysis of bridges under different loads using polynomial chaos and subset simulation

Hao

2023

Earthquake Engineering and Resilience

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Reliability analysis of bridges is essential for the design of civil engineering structures. The classical methods, such as Monte Carlo Simulation (MCS) and subset simulation techniques, may provide accurate results. However, since the finite element model of the large-scale civil engineering structures usually consists of a large number of degrees of freedom, structural reliability analysis of such structures is time-consuming and computational intensive, which may restrict the use of these methods. This paper proposes a novel method for the reliability analysis of bridge under different types of loads by combining Polynomial Chaos (PC) and subset simulation techniques. The surrogate model of the limit state function is approximated by using the PC expansion, in which the PC coefficients are obtained from the least-squares method. The subset simulation with a PC-based surrogate model is then used to estimate the rare failure probability. Reliability analyses of bridge structures under different loading types, that is, static load, dynamic moving load, and seismic load are performed. Studies by using the MCS method and the classical subset simulation are also conducted, and the results from the proposed approach are compared with those from MCS and subset simulation to demonstrate the accuracy and efficiency of the proposed method.

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confidence: 99%

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confidence: 99%