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Determination of group velocity of propagation of Lamb waves in aluminium plate using piezoelectric transducers

机译:用压电传感器确定铝板上兰姆波的群传播速度

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摘要

A prior knowledge of group velocities of Lamb wave modes is a key for analysis of time signals in guidedwavebased structural health monitoring. The identification of multiple wave modes may be complicated due todependency of group velocity on frequency (dispersion). These dependencies for infinite plate of constant thicknesscan be calculated by a numerical solution of analytic equation. Two alternative approaches to determine groupvelocities of zero-order Lamb wave modes in aluminum plate were used in this work: Two-dimensional FastFourier Transform (2D-FFT) and methods of time-frequency processing. 2D-FFT requires a high number of timesignals in equidistant points, therefore it was applied on data from finite element analysis of wave propagation inthe plate. Group velocities for chosen frequencies were also determined using wavelet transform (WT) of signalsas differencies of times of arrival measured by a pair of piezoelectric transducers. The results from 2D-FFT andwavelet transform were compared to the analytic solution.
机译:兰姆波模式的群速度的先验知识是在基于导波的结构健康监测中分析时间信号的关键。由于群速度对频率(色散)的依赖性,多个波模的识别可能会很复杂。恒定厚度的无限板的这些相关性可以通过解析方程的数值解来计算。用于确定铝板零级Lamb波模式群速度的两种替代方法用于这项工作:二维FastFourier变换(2D-FFT)和时频处理方法。 2D-FFT在等距点上需要大量的时间信号,因此将其应用于来自板中波传播的有限元分析的数据。还使用信号的小波变换(WT)确定选定频率的组速度,这是通过一对压电换能器测量的到达时间差。将2D-FFT和小波变换的结果与解析解进行了比较。

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