Probabilistic uncertainty analysis of an FRF of a structure using a Gaussian process emulator
Probabilistic uncertainty analysis of an FRF of a structure using a Gaussian process emulator
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DOI：
10.1016/j.ymssp.2011.06.013
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发表时间：
2011-11
影响因子：
8.4
通讯作者：
Thomas E. Fricker;J. Oakley;N. Sims;K. Worden
中科院分区：
文献类型：
--
作者：
Thomas E. Fricker;J. Oakley;N. Sims;K. Worden
本文介绍了由有限元模型得到的结构频率响应函数的概率不确定性分析方法。这些方法适用于计算昂贵的有限元模型，使用称为仿真器的贝叶斯元模型。仿真器对有限元模型输出进行快速预测，但也解释了由于仅具有有限数量的模型评估而引起的额外不确定性。提出了两种FRF的概率不确定度分析方法。第一种方法考虑了离散频率下响应的不确定性，给出了逐点的不确定性区间。第二种考虑了整个频率范围内的不确定度，给出了不确定度包络函数。在一个实际案例研究中，对这些方法进行了演示，并与其他方法进行了比较。
This paper introduces methods for probabilistic uncertainty analysis of a frequency response function (FRF) of a structure obtained via a finite element (FE) model. The methods are applicable to computationally expensive FE models, making use of a Bayesian metamodel known as an emulator. The emulator produces fast predictions of the FE model output, but also accounts for the additional uncertainty induced by only having a limited number of model evaluations. Two approaches to the probabilistic uncertainty analysis of FRFs are developed. The first considers the uncertainty in the response at discrete frequencies, giving pointwise uncertainty intervals. The second considers the uncertainty in an entire FRF across a frequency range, giving an uncertainty envelope function. The methods are demonstrated and compared to alternative approaches in a practical case study.