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基于多维数据耦合?小波变换的固支梁损伤特征识别方法

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为了解决固支梁的损伤特征识别问题,提出基于多维数据耦合−小波变换的固支梁损伤特征识别方法.以均匀损伤和非均匀损伤为研究对象,提出非均匀损伤的简化思路.以固支梁的应变模态为损伤参数,对梁进行多维切片,从而将梁不同维度的应变模态独立以便获取各维度应变模态数据,通过多维数据耦合方法将不同维度的应变模态数据耦合,放大损伤特征,使单维应变模态数据具有多维特性.对耦合数据进行小波变换得到耦合数据的小波系数图,对比小波系数图中奇异点位置的奇异性大小识别固支梁的损伤特征(损伤位置与形状).含均匀损伤与非均匀损伤固支梁的数值模拟与试验分析表明:多维数据耦合能有效放大损伤特征,使得小损伤在实际工程中能被识别;同一工况下损伤程度越大则其对应的小波系数奇异性也越大,因此根据小波系数的奇异性大小能有效识别固支梁的损伤位置与损伤形状;在试验情况下,多维耦合数据的小波系数能有效规避边缘效应,使得固支梁的边缘损伤特征能被识别.上述研究表明所提出的损伤识别方法能有效解决固支梁损伤特征识别问题,为解决基于小波变换损伤识别方法在损伤特征识别方面的不足提供了途径,并能有效解决实际结构的边缘损伤识别问题,为实际结构的损伤识别提供理论依据和技术支持.
Research on fixed-end beam structural damage feature identification method based on multidimensional data coupling-wavelet transform
A method based on Multidimensional Data Coupling-Wavelet Transform was proposed to solve the fixed-end beam structural damage feature identification. A simplified approach for non-uniform damage was proposed with uniform and non-uniform damage as the research objects. The strain mode of the fixed-end beam structure was taken as the damage parameter,and the fixed-end beam was sliced in multiple dimensions in order to obtain the strain mode data of the fixed-end beam structural for each dimension. The strain mode data of different dimensions were coupled through a multidimensional data coupling method to amplify the damage characteristics and make the single dimensional strain mode data exhibit multidimensional characteristics. Then,the damage feature (i.e.,damage location and shape) of the damaged fixed-end beam was identified by comparing the singularity magnitude of the singular point position in the wavelet coefficient,which was obtained by performing wavelet transform on coupled data. The numerical simulation and experimental analysis of the fixed-end beam structure with uniform and non-uniform damage indicate that the coupling of multidimensional data can effectively amplify damage characteristics,enabling small damages to be identified in practical engineering. Under the same working condition,the greater damage severity is,the greater the corresponding wavelet coefficient singularity is. Therefore,the damage location and damage shape of the fixed-end beam structure can be effectively identified based on the singularity of the wavelet coefficients. In the experiment,the wavelet coefficients of multi-dimensional coupled data can effectively avoid the edge effect,making the edge damage feature of the fixed-end beam structure identified. The above research results show that the proposed damage identification method can effectively solve the problem of damage feature identification in fixed-end beam. It provides a way to solve the shortcomings of damage feature identification based on wavelet transform,can effectively solve the edge damage identification problem of the actual structure,and could provide theoretical basis and technical support for the actual structure damage identification.

non-uniform damagedamage feature identificationmultidimensional data couplingwavelet transformstructural experiment

郭佳、管德清、王玉奎、钟俊萍

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湖南城市学院 土木工程学院,湖南 益阳 413000

长沙理工大学 土木工程学院,湖南 长沙 410114

非均匀损伤 损伤特征识别 多维数据耦合 小波变换 结构试验

国家自然科学基金资助项目湖南省教育厅科学研究资助项目大学生创新创业训练计划资助项目

5137807923B0738S202311527027

2024

铁道科学与工程学报
中南大学 中国铁道学会

铁道科学与工程学报

CSTPCD北大核心EI
影响因子:0.837
ISSN:1672-7029
年,卷(期):2024.21(8)