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Research on structural damage identification method based on continuous bending stiffness of the beam and wavelet transform

DOI：

 作者 单位 邮编 郭佳0 长沙理工大学 410000 管德清* 长沙理工大学 410000

为了解决基于小波变换系数难以识别结构边缘损伤的问题，以及实验中损伤对周边的影响导致小波系数难以精确定位损伤位置的问题，提出了基于梁连续抗弯刚度（简称刚度）与小波变换的结构损伤位置识别方法，以梁结构为研究对象，在未知无损结构振动参数的情况下，识别实验梁结构的边缘损伤以及准确定位损伤位置。以梁结构的应变模态作为损伤参数，利用小波分析对其进行连续小波变换，通过小波系数奇异性识别出梁的损伤位置，再结合梁结构连续刚度与小波系数边缘效应特点识别出梁结构边缘损伤。固支梁结构的数值模拟与实验结果表明，基于梁连续刚度与小波变换的结构损伤位置定位方法可以更准确的定位实验结构损伤位置，为小波系数在未知无损结构参数的情况下难以识别结构边缘损伤的问题提供了解决方法。文中所得到的损伤对周边影响规律对梁结构实验的损伤设置具有指导意义。

To solve the problem that the structural edge damage is difficult to be identified based on the wavelet transform coefficient and the failure of the wavelet coefficient to accurately identify the damage location caused by the influence of the damage on the surroundings in the experiment, a structural damage identification method based on the continuous bending stiffness of the beam (hereinafter referred to as " stiffness") and the wavelet transform is proposed. Taking the beam structure as the research object, the beam structural edge damage is identified and the damage location is located accurately without undamaged structural vibration parameters. Taking the strain model of the beam structure as the damage parameter, the continuous wavelet transform is conducted by wavelet analysis. After the damage location of the beam is identified through the singularity of the wavelet coefficients, the edge damage of the beam structure is identified with combining the beam structural continuous stiffness and the edge effect characteristics of the wavelet coefficients. The numerical simulation and experimental results of fixed beam structure show that the damage location of experimental structure can be more accurately located by the damage location method based on beam continuous stiffness and wavelet transform, which provides a solution to the problem that the wavelet coefficients are difficult to identify the structural edge damage without undamaged structural parameters. The influence law of damage on the surroundings has guiding significance to the damage setting of beam structure experiment.
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