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Effect of frequency domain attributes of wavelet analysis filter banks for structural damage localisation using the relative wavelet entropy index

机译:小波分析滤波器组的频域属性对相对小波熵指标的结构损伤定位的影响

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摘要

The relative wavelet entropy (RWE) is a commonly considered in the literature damage-sensitive index derived by wavelet transforming linear response acceleration signals from healthy/reference and damaged states of a given structure subject to broadband excitation. Herein, four different energy-preserving wavelet analysis filter banks are employed to compute the RWE for two benchmark structures via algorithms that may efficiently run on-board wireless sensors for decentralised structural health monitoring. It is shown that filter banks of wavelet bases compactly supported in the frequency domain are advantageous since they achieve enhanced frequency selectivity among scales and, therefore, the scale/frequency dependent contributors to the RWE become easier to interpret. Moreover, it is demonstrated that filter banks with large constant Q values (i.e., ratio of effective frequency over effective bandwidth) are better qualified to capture damage information associated with high frequencies, while non-constant Q analysis filter banks are most effective for RWE-based stationary damage detection.
机译:相对小波熵(RWE)在文献中通常被认为是对损伤敏感的指标,该指标通过小波变换来自健康/参考的线性响应加速度信号和受宽带激励作用的给定结构的受损状态而得出。在本文中,采用了四个不同的节能小波分析滤波器组,通过算法可以计算两个基准结构的RWE,这些算法可以有效地运行车载无线传感器进行分散式结构健康监测。示出了在频域中被紧凑地支持的小波基滤波器组是有利的,因为它们实现了标度之间增强的频率选择性,因此,RWE的标度/频率相关贡献者变得更容易解释。此外,事实证明,具有恒定Q值较大(即有效频率与有效带宽之比)的滤波器组更适合捕获与高频相关的损伤信息,而非恒定Q分析滤波器组对于RWE-基于静态损坏检测。

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