Damage evaluation of structures with uncertain parameters via interval analysis and FE model updating methods
Damage evaluation of structures with uncertain parameters via interval analysis and FE model updating methods
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DOI：
10.1002/stc.1901
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发表时间：
2017-04
影响因子：
5.4
通讯作者：
E. Sevillano;R. Sun;R. Perera
中科院分区：
文献类型：
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作者：
E. Sevillano;R. Sun;R. Perera
在结构识别问题中，经常存在实验和数值不确定性。有限元修正程序结果的不确定性量化通常在概率框架中进行，这需要使用不确定参数的先验已知概率分布。本文提出了估计参数不确定但有界的损伤结构问题的模态区间分析方法。该方法只需要不确定参数的大小上界。该方法在单目标框架中的公式化等价于在所考虑的区间内最小化不确定目标函数的平均值和偏差，其实际上是一个多目标问题。此外，它的实施需要分析评估的目标函数的灵敏度相对于不确定的参数，这是派生。数值和实验结果证明了该方法在不确定环境中评估损伤的准确性和有效性。版权所有© 2016约翰威利父子有限公司.
Experimental and numerical uncertainties are always present in structural identification problems. The quantification of the uncertainty on the results of a finite element updating procedure is commonly carried out in a probabilistic framework, which requires working with a‐priori known probability distributions for the uncertain parameters. In this paper, the modal interval analysis method to estimate damage structural problems with uncertain‐but‐bounded parameters is presented. With this method only the bounds on the magnitude of uncertain parameters are required. The formulation of this method in a single objective framework is equivalent to minimizing the average value and the deviation of the uncertain objective function in the considered interval with which it is actually a multi‐objective problem. Furthermore, its implementation requires the analytical evaluation of the sensitivities of the objective functions with respect to the uncertain parameters, which is derived. Numerical and experimental results evidence the accuracy and the effectiveness of the proposed approach to evaluate damage in uncertain environments. Copyright © 2016 John Wiley & Sons, Ltd.