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Structural Reliability Assessment Based on Subjective Uncertainty
International Journal of Computational Methods ( IF 1.7 ) Pub Date : 2021-05-29 , DOI: 10.1142/s0219876221500468
Ying Liu 1 , Jianyin Zhao 2 , Zhigang Qu 3 , Lin Wang 4
Affiliation  

In traditional structural reliability analysis, the uncertainties, such as loads and strengths, are considered as random variables with specific probability distributions. When the information is insufficient, it is difficult to obtain the distribution functions. Hence, experts are usually asked to estimate the belief degrees. Uncertainty theory is a branch of mathematics used to model the belief degrees of experts. In this paper, the factors influencing system structures are treated as independent uncertain variables. Based on that, the concepts of safety margin, structural reliability and failure belief degree are proposed, respectively. Then the general calculation methods of structural reliability and failure belief degree for monotonic safety margins are given, which are not restricted by the specific distributions of variables and the safety margin forms. Furthermore, the reliability index is given for the structure with linear safety margin and normal uncertain variables, and the relationship between structural reliability and reliability index is proposed. In addition, the geometric property of reliability index is investigated and used to define the reliability index in non-linear safety margin and normal uncertain variables case. Finally, several numerical examples are employed to demonstrate the effectiveness of the methods.

中文翻译:

基于主观不确定性的结构可靠性评估

在传统的结构可靠性分析中,载荷和强度等不确定性被视为具有特定概率分布的随机变量。当信息不充分时,很难得到分布函数。因此,通常要求专家估计置信度。不确定性理论是数学的一个分支,用于对专家的信任度进行建模。本文将影响系统结构的因素视为独立的不确定变量。在此基础上,分别提出了安全裕度、结构可靠性和故障置信度的概念。然后给出了单调安全裕度的结构可靠性和失效置信度的一般计算方法,不受具体变量分布和安全边际形式的限制。此外,给出了具有线性安全裕度和正态不确定变量的结构的可靠性指标,并提出了结构可靠性与可靠性指标之间的关系。此外,还研究了可靠性指标的几何特性,用于定义非线性安全裕度和正态不确定变量情况下的可靠性指标。最后,通过几个数值例子证明了这些方法的有效性。研究了可靠性指标的几何性质,用于定义非线性安全裕度和正态不确定变量情况下的可靠性指标。最后,通过几个数值例子证明了这些方法的有效性。研究了可靠性指标的几何性质,用于定义非线性安全裕度和正态不确定变量情况下的可靠性指标。最后,通过几个数值例子证明了这些方法的有效性。
更新日期:2021-05-29
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