基于高斯过程响应面的结构有限元模型修正方法

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (24) : 82-87.

论文

基于高斯过程响应面的结构有限元模型修正方法

万华平1，任伟新1，魏锦辉1,2

作者信息 +

Structural finite element model updating based on Gaussian process response surface methodology

WAN Hua-ping1, REN Wei-xin1, WEI Jin-hui1, 2

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文章历史 +

摘要

作为一种基于贝叶斯原理的非参数模型，高斯过程模型近年来得到研究人员的广泛关注。高斯过程具有灵活的协方差函数形式、预测精度高和量化预测不确定性等优点。基于此，本文提出了一种基于高斯过程响应面的有限元模型修正方法，并介绍了高斯过程响应面方法的基本理论。算例结果表明，相对于传统参数型响应面方法，高斯过程响应面方法应用于有限元模型修正更具优势。

Abstract

As the Bayesian framework-based and nonparametric models, Gaussian process (GP) models have drawn a considerable attention of the researchers in recent years. GP models have many advantages, including the flexibility of the forms of covariance functions, high accuracy of prediction, quantifying the prediction quality with uncertainties and so on. Therefore, this paper proposes a novel model updating technique based on GP response surface methodology (RSM), and the relevant basic principle is elaborated. Results of the numerical examples

导出引用

万华平;任伟新;魏锦辉;. 基于高斯过程响应面的结构有限元模型修正方法[J]. 振动与冲击, 2012, 31(24): 82-87

WAN Hua-ping;REN Wei-xin;WEI Jin-hui;. Structural finite element model updating based on Gaussian process response surface methodology[J]. Journal of Vibration and Shock, 2012, 31(24): 82-87