The present study investigates the hybrid reliability modeling of structures in which the inputs contain both random variables and interval variables. Hybrid uncertainty is divided into three categories, including random variables mixed with random variables, interval variables mixed with interval variable, and random variables mixed with interval variables. In order to perform the reliability analysis of structural systems, first, the Bayes method is proposed in the present study to obtain distribution parameters of random variables. Moreover, the self‐sample method is introduced to obtain the interval boundaries based on the least available measuring data. Then, the reliability models are established for three situations and the reliability indices are defined and derived accordingly. The abovementioned three types of reliability indices outline the general situation of structural systems. Finally, the specific calculation process is described in details through different examples. Furthermore, the accuracy and efficiency of the proposed method is discussed by comparing the results obtained from the Monte Carlo simulation and those of other methods. The obtained results indicate that the performance of the proposed model in solving reliability modeling problems is better.

中文翻译：

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具有混合不确定性的结构系统可靠性建模的新方法

本研究研究了结构的混合可靠性模型，其中输入包含随机变量和区间变量。混合不确定性分为三类，包括混合有随机变量的随机变量，混合有间隔变量的区间变量和混合有间隔变量的随机变量。为了进行结构系统的可靠性分析，首先提出了贝叶斯方法来获取随机变量的分布参数。此外，引入了自采样方法，以基于最少可用的测量数据获得间隔边界。然后，针对三种情况建立可靠性模型，并定义和得出可靠性指标。上述三种可靠性指标概述了结构系统的一般情况。最后，通过不同的示例详细描述了具体的计算过程。此外，通过比较从蒙特卡洛模拟获得的结果和其他方法的结果，讨论了该方法的准确性和效率。获得的结果表明，所提出的模型在解决可靠性建模问题上的性能更好。