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Experimental study on the crack detection with optimized spatial wavelet analysis and windowing

机译：优化的空间小波分析和窗口化技术进行裂纹检测的实验研究

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摘要

In this paper, a high sensitive crack detection is experimentally realized and presented on a beam under certain deflection by optimizing spatial wavelet analysis. Due to the crack existence in the beam structure, a perturbation/slop singularity is induced in the deflection profile. Spatial wavelet transformation works as a magnifier to amplify the small perturbation signal at the crack location to detect and localize the damage. The profile of a deflected aluminum cantilever beam is obtained for both intact and cracked beams by a high resolution laser profile sensor. Gabor wavelet transformation is applied on the subtraction of intact and cracked data sets. To improve detection sensitivity, scale factor in spatial wavelet transformation and the transformation repeat times are optimized. Furthermore, to detect the possible crack close to the measurement boundaries, wavelet transformation edge effect, which induces large values of wavelet coefficient around the measurement boundaries, is efficiently reduced by introducing different windowing functions. The result shows that a small crack with depth of less than 10% of the beam height can be localized with a clear perturbation. Moreover, the perturbation caused by a crack at 0.85 mm away from one end of the measurement range, which is covered by wavelet transform edge effect, emerges by applying proper window functions.
机译：通过优化空间小波分析，通过实验实现了高灵敏度裂纹检测，并将其呈现在一定挠度下的梁上。由于梁结构中存在裂纹，因此在挠曲轮廓中会引起摄动/倾斜奇异性。空间小波变换可作为放大器来放大裂纹位置处的小扰动信号，以检测并定位损伤。高分辨率的激光轮廓传感器可为完整光束和破裂光束获得偏转的铝悬臂光束的轮廓。 Gabor小波变换应用于完整数据集和破裂数据集的减法。为了提高检测灵敏度，对空间小波变换中的比例因子和变换重复时间进行了优化。此外，为了检测靠近测量边界的可能裂纹，通过引入不同的窗函数，有效地减小了在测量边界周围引起大的小波系数值的小波变换边缘效应。结果表明，深度小于梁高的10％的小裂纹可以被清晰地定位。此外，通过应用适当的窗函数，会出现小波变换边缘效应所覆盖的，距测量范围一端0.85 mm处的裂纹引起的摄动。

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