There are differences among sampling data and representation types of uncertain interval, fuzzy and random variables, which increases the complexity of structure reliability analysis. A α, β‐Cut‐FORM is proposed to analyze structure reliability considering the mixed uncertain variables. Fuzzy variables are optimized on the interval under two cut sets (α, β) based on the theory of cut set optimization. Interval variables are modeled with probability using a uniformity method. The proposed method involves the nested probabilistic analysis and interval analysis. The first‐order reliability method (FORM) is used for probabilistic analysis and nonlinear optimization is used for interval analysis. The excavator boom performance function is established for reliability analysis considering the mixed uncertain input variables, which verifies the effectiveness and advantages of the proposed method. And it has great application for safe and reliable design of excavator boom.

中文翻译：

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考虑混合不确定变量的挖掘机臂架可靠性分析

采样数据与不确定区间，模糊变量和随机变量的表示类型之间存在差异，这增加了结构可靠性分析的复杂性。提出了一种α，β-Cut-FORM来考虑混合不确定变量来分析结构的可靠性。基于割集优化理论，对两个割集（α，β）下的区间上的模糊变量进行了优化。使用均匀性方法以概率对时间间隔变量进行建模。所提出的方法涉及嵌套概率分析和区间分析。一阶可靠性方法（FORM）用于概率分析，非线性优化用于区间分析。考虑到混合的不确定输入变量，建立了挖掘机动臂性能函数以进行可靠性分析，验证了所提方法的有效性和优势。对于挖掘机动臂的安全可靠设计具有重要的应用前景。