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 引用本文: 姜潮, 郑静, 韩旭, 张庆飞. 一种考虑相关性的概率-区间混合不确定模型及结构可靠性分析[J]. 力学学报, 2014, 46(4): 591-600.
Jiang Chao, Zheng Jing, Han Xu, Zhang Qingfei. A PROBABILITY AND INTERVAL HYBRID STRUCTURAL RELIABILITY ANALYSIS METHOD CONSIDERING PARAMETERS’ CORRELATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(4): 591-600.
 Citation: Jiang Chao, Zheng Jing, Han Xu, Zhang Qingfei. A PROBABILITY AND INTERVAL HYBRID STRUCTURAL RELIABILITY ANALYSIS METHOD CONSIDERING PARAMETERS’ CORRELATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(4): 591-600.

## A PROBABILITY AND INTERVAL HYBRID STRUCTURAL RELIABILITY ANALYSIS METHOD CONSIDERING PARAMETERS’ CORRELATION

• 摘要: 提出了一种考虑相关性的概率-区间混合不确定性模型及结构可靠性分析方法，能够处理变量之间具有相关性的混合可靠性分析问题. 分别针对概率变量，概率区间变量及区间变量定义了相关角的概念，用以定量描述变量之间的相关性；通过仿射坐标，将相关变量转换为独立变量；给出了其可靠性分析模型，并构建了一高效求解方法获得其可靠性指标和失效概率区间；最后通过分析两个数值算例，验证了方法的有效性.

Abstract: This paper proposes a mixed probability-interval uncertainty model considering correlation and a structural reliability analysis method which can solve problems of relevant variables. First, relevant angles of probability variables, probability-interval variables and interval variables are defined respectively in order to quantitatively describe the correlation between variables. Then through affine coordinates relevant variables are transformed into independent variables. A reliability analysis model is put forward, and a highly efficient method is built to solve the reliability index and failure probability interval. Finally two numerical examples are provided to verify the validity of the method.

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