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Fractal dimension analysis for crack identification in beam structures

机译:分形维分析在梁结构裂缝识别中的应用

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摘要

A new technique for crack identification in beam structures based on fractal dimension analysis is presented. The fundamental vibration mode of a cracked cantilever beam is analysed and both the location and size of the crack are estimated. The location of the crack is determined by the sudden changes in the spatial variation of the analysed response, while the size of the crack is related to the fractal dimension measure. The proposed prediction scheme was validated by experiments on cracked plexiglas beams. A noise test performed on simulated data proved the ability of the method to accurately identify cracks despite the presence of noise in the signal analysed. Based on the results obtained, a fractal dimension-based crack detector (FDCD) is developed, which can be effectively used in practical applications. Compared to existing methods for crack detection, the proposed FDCD scheme is attractive due to the simplicity of the evaluation of the fractal dimension measure and its robustness against noise.
机译:提出了一种基于分形维数分析的梁结构裂纹识别新技术。分析了悬臂梁的基本振动模式,并估计了裂缝的位置和大小。裂纹的位置由分析响应的空间变化的突然变化确定,而裂纹的大小与分形维数有关。通过对有机玻璃裂纹光束的实验验证了所提出的预测方案。尽管在分析的信号中存在噪声,但对模拟数据进行的噪声测试证明了该方法能够准确识别裂纹的能力。基于获得的结果,开发了一种基于分形维数的裂纹检测器(FDCD),可以在实际应用中有效地使用它。与现有的裂纹检测方法相比,提出的FDCD方案具有吸引力,因为其分形维数测量的简便性和抗噪声能力很强。

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