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Vibration-based structural damage identification using wavelet transform

机译:基于小波变换的基于振动的结构损伤识别

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摘要

This paper presents a new damage identification technique based on the statistical moments of the energy density function of the vibration responses in the time-scale (or time-frequency) domain. The continuous wavelet transform is first conducted to decompose the vibration responses into discrete energy distributions as a joint function of time and scale. The principal structural response features are then extracted from the energy density functions using moments. Consequently, the zeroth-order moment (ZOM) known as the total energy of the joint density function is computed at each measurement grid point for the pre-damage and post-damage states and is then implemented for detection and localization of damage in a concrete plate model and in a steel plate girder of a bridge structure. The significant contribution is that the wavelet coefficients are transformed into a new damage identification parameter in the space domain which is considered to be a novel application of the wavelet analysis coefficients. The major advantage is that the time-frequency analysis conducted using the wavelet transform provides a powerful tool to characterize deterministic as well as random (stationary and non-stationary) responses and can be used to detect slight changes in the response characteristics and local variations. Finally, comparison of the results obtained from the proposed method and those obtained from existing non-model-based damage identification techniques shows that the proposed method is more sensitive to damage than these other methods.
机译:本文基于时标(或时频)域中振动响应的能量密度函数的统计矩,提出了一种新的损伤识别技术。首先进行连续小波变换,将振动响应分解为离散的能量分布,作为时间和尺度的联合函数。然后使用矩从能量密度函数中提取主要的结构响应特征。因此,在损坏前和损坏后状态的每个测量网格点处计算称为联合密度函数的总能量的零阶矩(ZOM),然后将其用于检测和确定混凝土中的损伤板模型和桥梁结构中的钢板梁。重要的贡献在于,小波系数在空间域中被转换为新的损伤识别参数,这被认为是小波分析系数的一种新颖应用。主要优势在于,使用小波变换进行的时频分析提供了一种强大的工具,可以表征确定性以及随机(平稳和非平稳)响应,并且可以用于检测响应特性和局部变化的细微变化。最后,通过比较从所提出的方法获得的结果和从现有的基于非模型的损伤识别技术获得的结果,结果表明,所提出的方法比其他方法对损伤更敏感。

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