This paper proposed a vine-copula-based structural reliability analysis method which is an effective approach for performing a reliability analysis on complex multidimensional correlation problems. A joint probability distribution function (PDF) among multidimensional random variables was established using a vine copula function, based on which a reliability analysis model was constructed. Two solution algorithms were proposed to solve this reliability analysis model: one was based on Monte Carlo simulation (MCS) and another one was based on the first-order reliability method (FORM). The former method provides a generalized computational method for a reliability analysis based on vine copula functions and can provide so-called “precise solutions”; the latter method has high computational efficiency and can be used to solve actual complex engineering problems. Finally, three numerical examples were provided to verify the effectiveness of the method.
A Vine-Copula-Based Reliability Analysis Method for Structures With Multidimensional Correlation
Journal of mechanical design ; 137 , 6
2015
Article (Journal)
English
BKL: | 50.15 Konstruktionslehre / 52.20 Antriebstechnik, Getriebelehre / 52.15 Maschinenelemente, Maschinenbaugruppen | |
Local classification TIB: | 770/5315/5330 |
Reliability Assessment of Micro Grid Power Supply System Based on D-Vine Copula Model
Springer Verlag | 2021
|British Library Conference Proceedings | 2018
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