Enhanced features in principal component analysis with spatial and temporal windows for damage identification

IF 1.1 4区 工程技术 Q3 ENGINEERING, MULTIDISCIPLINARY Inverse Problems in Science and Engineering Pub Date : 2021-07-20 DOI:10.1080/17415977.2021.1954921
Ge Zhang, Liqun Tang, Zejia Liu, Licheng Zhou, Yiping Liu, Zhenyu Jiang, Jingsong Chen, S. Sun
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引用次数: 5

Abstract

Principal component analysis (PCA) methods have been widely applied to damage identification in the long-term structural health monitoring (SHM) of infrastructure. Usually, the first few eigenvector components derived by PCA methods are treated as damage-sensitive features. In this paper, the effective method of double-window PCA (DWPCA) and novel features are proposed for better damage identification performance. In the proposed method, spatial and temporal windows are introduced to the traditional PCA method. The spatial windows are applied to group damage-sensitive sensors and exclude those sensors insensitive to damage, while the temporal window is applied to better discriminate eigenvectors between the damaged and healthy states. In addition, the length and directional angle of the eigenvector variation between the healthy and damaged states are used as the damage-sensitive features, instead of the components of the eigenvector variation used in previous studies. Numerical simulations based on a large-scale bridge reveal that the proposed features are successful in identifying the damage located far from sensors due to the use of both spatial and temporal windows as well as the length of the eigenvector variation. In addition, compared to the previous PCA and moving PCA methods, the novel features have higher sensitivity and resolution in damage identification.
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用于损伤识别的具有空间和时间窗口的主成分分析中的增强特征
主成分分析(PCA)方法在基础设施长期结构健康监测中的损伤识别中得到了广泛的应用。通常将主成分分析方法得到的前几个特征向量分量作为损伤敏感特征。本文提出了有效的双窗口主成分分析方法(DWPCA)和新的特征,以提高损伤识别性能。该方法在传统的主成分分析方法中引入了时空窗口。空间窗口用于对损伤敏感的传感器进行分组,排除对损伤不敏感的传感器;时间窗口用于更好地区分损伤和健康状态之间的特征向量。此外,采用健康状态和损伤状态之间特征向量变化的长度和方向角作为损伤敏感特征,取代了以往研究中使用的特征向量变化分量。基于大型桥梁的数值模拟表明,由于使用了空间和时间窗口以及特征向量变化的长度,所提出的特征可以成功地识别远离传感器的损伤。此外,与以往的主成分分析方法和移动主成分分析方法相比,新特征在损伤识别方面具有更高的灵敏度和分辨率。
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来源期刊
Inverse Problems in Science and Engineering
Inverse Problems in Science and Engineering 工程技术-工程:综合
自引率
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0
审稿时长
6 months
期刊介绍: Inverse Problems in Science and Engineering provides an international forum for the discussion of conceptual ideas and methods for the practical solution of applied inverse problems. The Journal aims to address the needs of practising engineers, mathematicians and researchers and to serve as a focal point for the quick communication of ideas. Papers must provide several non-trivial examples of practical applications. Multidisciplinary applied papers are particularly welcome. Topics include: -Shape design: determination of shape, size and location of domains (shape identification or optimization in acoustics, aerodynamics, electromagnets, etc; detection of voids and cracks). -Material properties: determination of physical properties of media. -Boundary values/initial values: identification of the proper boundary conditions and/or initial conditions (tomographic problems involving X-rays, ultrasonics, optics, thermal sources etc; determination of thermal, stress/strain, electromagnetic, fluid flow etc. boundary conditions on inaccessible boundaries; determination of initial chemical composition, etc.). -Forces and sources: determination of the unknown external forces or inputs acting on a domain (structural dynamic modification and reconstruction) and internal concentrated and distributed sources/sinks (sources of heat, noise, electromagnetic radiation, etc.). -Governing equations: inference of analytic forms of partial and/or integral equations governing the variation of measured field quantities.
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