Structural analysis with probability-boxes
Structural analysis with probability-boxes
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DOI：
10.1504/ijrs.2012.044292
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发表时间：
2012
影响因子：
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通讯作者：
Hao Zhang;R. Mullen;R. Muhanna
中科院分区：
文献类型：
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作者：
Hao Zhang;R. Mullen;R. Muhanna
概率盒（p-box）是一种严谨而实用的方法，用于表示不确定性的认知来源，其中可用的知识不足以构建所需的概率分布。本文将区间有限元（FE）方法与p-box概念相结合，对p-box模拟的不确定荷载作用下的结构进行分析。给出了离散p盒卷积法和区间蒙特卡罗法两种方法，并给出了实例问题。文中还介绍了p-box有限元法的计算效率。
Probability-box (p-box) is a rigorous and practical way to represent epistemic sources of uncertainty where the available knowledge is insufficient to construct the required probability distributions. In this paper, interval finite element (FE) methods are combined with the concept of p-box to analyse structures subjected to uncertain loads modelled by p-boxes. Two methods, namely the discrete p-box convolution and interval Monte Carlo methods, are presented along with example problems. The computational efficiency of the p-box FE method is also presented.