Detection of crack location and size in structures using wavelet finite element methods
Detection of crack location and size in structures using wavelet finite element methods
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DOI：
10.1016/j.jsv.2004.08.040
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发表时间：
2005-08
影响因子：
4.7
通讯作者：
Bing Li;Xuefeng Chen;Junxing Ma;Zhengjia He
中科院分区：
文献类型：
--
作者：
Bing Li;Xuefeng Chen;Junxing Ma;Zhengjia He
提出了一种利用小波有限元法对裂纹梁等奇异问题进行模态分析的方法，以检测裂纹的位置和尺寸。首先将梁离散为一组小波有限元，然后精确地得到了不同裂纹位置和尺寸的梁的固有频率。频率响应函数，裂纹的位置和大小的函数，近似通过曲面拟合技术。在裂纹检测过程中使用测量的固有频率，并且可以通过找到三个频率轮廓线的交点来识别裂纹的位置和大小。用Silva研究的自由-自由梁的实验数据验证了该方法的准确性。该方法具有通用性，可推广到复杂多裂纹结构。
A methodology to detect crack location and size is presented which takes advantage of wavelet finite element methods (WFEM) in the modal analysis for singularity problems like a cracked beam. First, the beam is discretized into a set of wavelet finite elements, and then the natural frequencies of the beam with various crack locations and sizes are accurately obtained. The frequency response functions, function of crack location and size, are approximated by means of surface-fitting techniques. Measured natural frequencies are used in a crack detection process and the crack location and size can be identified by finding the point of intersection of three frequency contour lines. The experimental data from a free–free beam studied by Silva are employed to verify the accuracy of the method. The present method is general and can be easily extended to complex structures with multiple cracks.