Damage identification by response surface based model updating using D-optimal design
Damage identification by response surface based model updating using D-optimal design
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DOI：
10.1016/j.ymssp.2010.07.007
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发表时间：
2011-02-01
影响因子：
8.4
通讯作者：
Perera, Ricardo
中科院分区：
文献类型：
--
作者：
Fang, Sheng-En;Perera, Ricardo
统计工具和数学工具已经被广泛采用，并在通常存在随机性的不同工程问题中显示了它们的性能。在工程领域，将统计分析与结构评估相结合将是未来的发展趋势。作为数学和统计技术的结合，响应面方法已成功地应用于设计优化、响应预测和模型验证。这种方法提供了明确的函数来表示物理系统的输入和输出之间的关系，这在损伤识别中也是一个理想的优势。然而，到目前为止，将响应面方法应用于结构损伤识别的研究还很少。提出了一种基于响应面的D-最优设计模型修正的损伤识别方法。与一些构造响应面的常见设计相比，D-最优设计通常需要最少的数值样本，当分析者无法获得足够的样本时，这一优点是非常可取的。本文首先利用D-最优设计建立响应面模型，筛选出非显著更新参数，然后构造一阶响应面模型来代替有限元模型来预测完整或受损物理系统的动力响应。数值梁、钢筋混凝土框架试验和实桥试验的三个算例验证了该方法的有效性。输入特征为杨氏模数和截面惯量等物理性质，唯一的响应特征为振型频率。结果表明，无论是数值损伤预测还是实际结构损伤预测，该方法都具有足够的精度，基于D-最优准则的一阶响应面模型能够满足损伤识别的要求。(C)2010爱思唯尔有限公司。保留所有权利。
Statistical tools, as well as mathematical ones, have been widely adopted and their performance has been shown in different engineering problems where randomicity usually exists. In the realm of engineering, merging statistical analysis into structural evaluation and assessment will be a tendency in the future. As a combination of mathematical and statistical techniques, response surface methodology has been successfully applied to design optimization, response prediction and model validation. This methodology provides explicit functions to represent the relationships between the inputs and outputs of a physical system, which is also a desirable advantage in damage identification. However, so far little research has been carried out in applying the response surface methodology to structural damage identification. This paper presents a damage identification method achieved by response surface based model updating using D-optimal designs. Compared with some common designs constructing response surfaces, D-optimal designs generally require a minimum number of numerical samples and this merit is quite desirable when analysts cannot obtain enough samples. In this study, firstly D-optimal designs are used to establish response surface models for screening out non-significant updating parameters and then first-order response surface models are constructed to substitute for finite element models in predicting the dynamic responses of an intact or damaged physical system. Three case studies of a numerical beam, a tested reinforced concrete frame and a tested full-scale bridge have been used to verify the proposed method. Physical properties such as Young's modulus and section inertias were chosen as the input features and modal frequency was the only response feature. It has been observed that the proposed method gives enough accuracy in damage prediction of not only the numerical but also the real-world structures with single and multiple damage scenarios, and the first-order response surface models based on the D-optimal criterion are adequate for such damage identification purposes. (C) 2010 Elsevier Ltd. All rights reserved.