基于CEEMD和统计参数的斜拉桥损伤识别方法研究

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (19) : 326-336.

论文

基于CEEMD和统计参数的斜拉桥损伤识别方法研究

刘杰1, 2, 3, 丁雪1, 3, 刘庆宽1, 2, 3, 王海龙4, 卜建清1, 5

作者信息 +

Damage identification method of cable-stayed bridges based onCEEMD and statistical parameters

LIU Jie1,2,3, DING Xue1,3, LIU Qingkuan1,2,3, WANG Hailong4, BU Jianqing1,5

Author information +

文章历史 +

摘要

为解决仅使用CEEMD方法的斜拉桥信号分解存在含噪IMF分量且不能进行损伤定量的问题，提出了一种基于CEEMD与统计参数方法相结合的斜拉桥损伤识别方法。该方法基于CEEMD方法对斜拉桥动力响应信号进行自适应性分解，确定适用的白噪声幅值标准差并推导CEEMD方法的集成次数，得到各阶IMF分量；采用欧氏距离对分解的IMF分量进行谱系聚类分析以避免模态混叠现象；采用峰度统计参数的有效权重峰度指标方法滤除含噪IMF分量，提取有效IMF分量并重构为有效IMF分量和；利用变异系数统计参数、二阶中心差分法和泰勒展开式推导损伤定位指标，根据四阶统计矩峰度统计参数推导损伤定量指标。用所提方法对某斜拉桥进行损伤识别研究，结果表明：仿真分析的损伤定位识别精度为100%，损伤定量最大误差为1.80%；在高斯白噪声干扰下，损伤定位不受影响，损伤定量最大误差为1.88%；进行实桥的损伤识别，结果表明实桥主梁无损伤。

Abstract

In order to solve the problem that the signal decomposition of cable-stayed bridge using only CEEMD method contains noisy IMF components and cannot quantify damage, a damage identification method of cable-stayed bridge based on CEEMD and statistical parameters is proposed. Through this method based CEEMD method, the amplitude standard deviation of the auxiliary white noise sequence is determined and integration times of CEEMD method is derived, Then the IMF components of each order are obtained; Euclidean distance is used for the pedigree cluster analysis of decomposed IMF components to avoid modal aliasing; the effective weight kurtosis index method with kurtosis statistical parameters is used to filter out noisy IMF components, extract active IMF components and reconstruct them into the sum of active IMF components; the indices of damage location identification are deduced by using statistical parameters of coefficient of variation, second-order central difference method and Taylor expansion, and the quantitative damage indices were deduced by using the statistical parameters of fourth-order statistical moment kurtosis. The damage identification of a cable-stayed bridge is studied by using the proposed method. The results show that the accuracy of damage location identification is 100%, and that the maximum error of damage quantification is 1.87%; under the interference of white Gaussian noise, the damage location identification is not affected, and the maximum error of damage quantification is 1.89%; the damage identification of the real bridge is carried out, and the results show that the real bridge girder is free of damage.

导出引用

刘杰1, 2, 3, 丁雪1, 3, 刘庆宽1, 2, 3, 王海龙4, 卜建清1, 5. 基于CEEMD和统计参数的斜拉桥损伤识别方法研究[J]. 振动与冲击, 2024, 43(19): 326-336

LIU Jie1, 2, 3, DING Xue1, 3, LIU Qingkuan1, 2, 3, WANG Hailong4, BU Jianqing1, 5. Damage identification method of cable-stayed bridges based onCEEMD and statistical parameters[J]. Journal of Vibration and Shock, 2024, 43(19): 326-336

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