Abstract
Load is one of the main causes of structural failure, and the correlation among loads would affect the evaluation results of structural performance. The purpose of this paper is to analyze the influence of the correlation among multiple loads on the structural reliability. In this paper, the nonparametric kernel density estimation (NKDE) method is used to estimate the probability density function (PDF) of related loads. In addition, the mixed copula (M-Copula) model is proposed, which combines Gumbel copula, Frank copula, Clayton copula, and weight coefficient, and the model parameters are fitted by MATLAB software to get the correlation of related loads. The reliability based on the related load combination is calculated according to the constructed model. After analyzing three numerical cases, the results show that the probability characteristics of NKDE estimation are very close to the actual conditions, and the reliability calculated by the M-Copula model is larger than those calculated by JCSS, Turkstra, and Gong methods. Using the M-Copula model for load correlation would avoid underestimating the reliability of the structure, which is conducive to structural economic development.
Highlights
With the diversified development of building structure forms, the functions of buildings are becoming more and more comprehensive, which leads to the diversified and complicated load forms in the service cycle of the structure [1,2,3]
Results and Discussion ere are many kinds of loads that contain relevance is supported during structural service, in which the load correlation would affect the results of structural reliability evaluation. e purpose of this study is to analyze the influence of load correlation on reliability
(2) Loads are random variables, and they cannot be completely decoupled and independent. e nonparametric kernel density estimation (NKDE) method can be used to fit three kinds of related loads, and results show that the method has high accuracy
Summary
With the diversified development of building structure forms, the functions of buildings are becoming more and more comprehensive, which leads to the diversified and complicated load forms in the service cycle of the structure [1,2,3]. Where α is the parameter of Gumbel copula function and α range of which is [1, ∞), and the change of α values will affect the correlation degree of random variables. Where β is the parameter of Frank copula function and β range of which is (− ∞, 0)∪(0, +∞), and change of β values will affect correlation degree of random variables.
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