Crack Detection from the Slope of the Mode Shape Using Complex Continuous Wavelet Transform
Crack Detection from the Slope of the Mode Shape Using Complex Continuous Wavelet Transform
复制标题
DOI：
10.1111/j.1467-8667.2011.00734.x
复制
发表时间：
2012-03
期刊：
影响因子：
--
通讯作者：
Xin Jiang;Z. Ma;W. Ren
中科院分区：
文献类型：
--
作者：
Xin Jiang;Z. Ma;W. Ren
摘要: 提出了一种利用模态斜率检测裂纹并引入复连续小波变换角度系数的梁裂纹检测新方法。本研究旨在检测非扩展横向裂纹的位置。分析了由具有等效刚度的旋转弹簧模拟的一系列带有裂纹的梁。计算该集总裂纹模型的振型和斜率。通过使用复高斯1小波(CGau1)对模态斜率进行复连续小波变换，根据小波系数的模量线和角度线检测裂纹的位置。相比之下，从复连续小波变换的角度线来看，奇异性更加明显。这表明该方法优于现有的实小波模态小波变换方法。此外，该方法还可以检测具有不同边界条件的梁中的裂纹。讨论了裂纹位置和裂纹深度对裂纹检测的影响。最后，研究了噪声的影响。通过多尺度分析，可以从小波系数的角度来检测裂纹的位置。
Abstract: A new method for cracks detection in beams is proposed by using the slope of the mode shape to detect cracks, and by introducing the angle coefficients of complex continuous wavelet transform. This study is aimed at detecting the location of the nonpropagating transverse crack. A series of beams with cracks that are simulated by rotational springs with equivalent stiffness are analyzed. The mode shape and the slope of this lumped crack model are calculated. Through complex continuous wavelet transform of the slope of the mode shape using Complex Gaus1 wavelet (CGau1), the locations of cracks are detected from the modulus line and the angle line of wavelet coefficients. By comparison, the singularity is much more apparent from the angle line of complex continuous wavelet transform. This demonstrates that the proposed method outperforms the existing method of wavelet transform of the mode shape with real wavelets. Also, this method can detect cracks in beams with different boundary conditions. The influence of crack locations and crack depth on crack detection is discussed. Finally, the noise effect is studied. Through the multiscale analysis, the locations of cracks may be detected from the angle of wavelet coefficients.