Conservative reliability index for epistemic uncertainty in reliability-based design optimization

Conservative reliability index for epistemic uncertainty in reliability-based design optimization
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基于可靠性的设计优化中认知不确定性的保守可靠性指数

DOI:
10.1007/s00158-018-1903-9
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发表时间:
2018
影响因子:
3.9
通讯作者:
Nozomu Kogiso
Nozomu Kogiso
中科院分区:
工程技术2区
文献类型:
--
作者:
Makoto Ito;Nam Ho Kim;Nozomu Kogiso

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本文引入了一种简单但有效的认知可靠性指数(ERI)概念,用于在输入变量为独立高斯分布且样本无偏的情况下对输入随机变量的不确定性进行采样。由于增加的认知不确定性而增加的不确定性需要更高水平的目标可靠性,这被称为保守可靠性指数(CRI)。在本文中,假设CRI可以附加地分解为偶然部分(目标可靠性指标)和认知部分(ERI)。理论和数值结果表明,不同设计的 ERI 保持相同,这对于基于可靠性的设计优化中的计算效率至关重要。所提出的 ERI 的新颖特征包括:(a)没有必要使用双环不确定性量化来处理偶然和认知不确定性; (b) 可以将两种不同的不确定性来源的影响分开,以便设计者能够更好地理解优化结果; (c) ERI 需要计算一次并在整个设计过程中保持不变。通过两个分析示例和一个数值示例演示了所提出的方法。
In this paper, a simple but efficient concept of epistemic reliability index (ERI) is introduced for sampling uncertainty in input random variables under conditions where the input variables are independent Gaussian, and samples are unbiased. The increased uncertainty due to the added epistemic uncertainty requires a higher level of target reliability, which is called the conservative reliability index (CRI). In this paper, it is assumed that CRI can additively be decomposed into the aleatory part (the target reliability index) and the epistemic part (the ERI). It is shown theoretically and numerically that ERI remains same for different designs, which is critically important for computational efficiency in reliability-based design optimization. Novel features of the proposed ERI include: (a) it is unnecessary to have a double-loop uncertainty quantification for handling both aleatory and epistemic uncertainty; (b) the effect of two different sources of uncertainty can be separated so that designers can better understand the optimization outcome; and (c) the ERI needs to be calculated once and remains the same throughout the design process. The proposed method is demonstrated with two analytical and one numerical examples.
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影响因子: 8.1
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发表时间: 2012
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