The main research problem studied in this work is an uncertain response and reliability assessment of the spatial cable structures due to the environmental stochasticity as well as material and geometrical imperfections. Some popular cable structures are analyzed for this purpose using the Stochastic Finite Element Method (SFEM) implemented with the use of three different techniques, namely the iterative generalized perturbation method, semi-analytical approach as well as the Monte-Carlo simulation. Uncertainty quantification delivered in this study is based on the series of FEM analyses of both static and dynamic structural problems. They enable the Least Squares Method determination of the structural polynomial responses linking extreme stresses and deformations with several uncorrelated uncertainty sources. Reliability assessment, fundamental in durability and Structural Health Monitoring, is completed using a comparison of the First Order Reliability Method (FORM) with probabilistic distance formulated by Bhattacharyya. Input uncertainties are assumed to be Gaussian according to the Maximum Entropy Principle. They have specific expected values following engineering design demands or the provisions of designing codes, whereas their standard deviations do not exceed the 10% level. The methods presented and the results obtained in this study may serve for further reliability analyses of large-scale civil engineering structures completed with both steel cables and also reinforced concrete plates like suspended bridges, for instance.

中文翻译：

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关于相对熵概念在部分工程索结构可靠性评估中的应用


这项工作研究的主要问题是由于环境随机性以及材料和几何缺陷而对空间索结构的不确定响应和可靠性评估。为此，使用随机有限元法 （SFEM） 分析了一些流行的索结构，该方法使用三种不同的技术实现，即迭代广义微扰法、半解析法以及蒙特卡洛模拟。本研究中提供的不确定性量化基于对静态和动态结构问题的一系列有限元分析。它们能够使用最小二乘法确定结构多项式响应，将极端应力和变形与几个不相关的不确定性源联系起来。可靠性评估是耐久性和结构健康监测的基础，通过使用一阶可靠性方法 （FORM） 与 Bhattacharyya 制定的概率距离的比较来完成。根据最大熵原理，假设输入不确定性为高斯。它们根据工程设计要求或设计规范的规定具有特定的预期值，而其标准差不超过 10% 的水平。本研究中提出的方法和获得的结果可能有助于对使用钢缆和钢筋混凝土板（例如吊桥）完成的大型土木工程结构进行进一步的可靠性分析。