面向桥梁结构健康监测的压缩感知动力响应信号重构
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TU311. 3

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国家自然科学基金资助项目(51608126);福建省自然科学基金资助项目(2021J01598)


Dynamic response reconstruction for bridge structural health monitoring based on compressed sensing
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    摘要:

    为了解决桥梁结构健康监测中采集海量数据带来数据传输和存储成本大的问题,引入压缩感知理论,优化常规观测矩阵,以增加观测矩阵和稀疏基的不相关性,用少量的动力响应信号采样数据恢复较为准确的原始信号。用吉安大桥的现场环境振动试验数据验证了基于压缩感知的桥梁动力响应重构方法的可行性和有效性。研究结果包括:压缩感知重构信号在时域里与原始信号吻合良好,当压缩比在 20% 以上时,重构信号相对误差在 10% 以下,优化观测矩阵重构的信号精度高于初始观测矩阵重构的信号,尤其是在低压缩比情况下,有利于减少数据的采集量;观测矩阵优化后重构信号的频谱与原始信号的频谱更加吻合,频谱出现的几个峰值均能准确对应,相比之下,初始观测矩阵重构信号的频谱出现较多峰值的误判,且有些峰值未能识别;观测矩阵优化方法可以适用于随机高斯矩阵、伯努利矩阵和稀疏随机矩阵,具有较广泛的适用范围。研究结果表明基于压缩感知的桥梁结构动力响应信号重构方法是实现用少量采样数据恢复较为准确的原始信号的有效方法。

    Abstract:

    High data transmission and storage cost caused by massive data collected is a critical problem in bridge structural health monitoring. Thus the compressed sensing theory is introduced in this paper to reduce the sampling. The conventional measurement matrix is optimized to reduce the coherence between the measurement matrix and sparse basis,which is benefit for accurately reconstructing the original dynamic responses with a limited sampling data. The field test data under ambient vibration of Ji'an Bridge is utilized to verify the feasibility and effectiveness of the proposed structural dynamic response reconstruction method for bridges based on compressed sensing. The studied results include:the reconstructed response based on compressed sensing agrees well with the original response in time domain;when the compression ratio is more than 20%,the relative errors of the reconstructed response maintain less than 10%;the reconstructed responses using optimized measurement matrix provide higher accuracy than those using initial measurement matrix,especially in the case of lower compression ratio,resulting in reduction of data collection;the spectrum of the reconstructed response using optimized measurement matrix is smoother and matches well with the original response spectrum,and the peaks of the spectrum can be picked accurately;in contrast,the spectrum of the reconstructed response without optimization of the measurement matrix has more misjudgment of peaks,and some peaks even cannot be identified;the measurement matrix optimization method can be applied to random Gaussian matrix,Bernoulli matrix and sparse random matrix.The results demonstrate that the proposed structural dynamic response reconstruction method for bridges based on compressed sensing is an effective way to accurately reconstruct original dynamic response with a limited sampling data.

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张笑华,肖兴勇,方圣恩.面向桥梁结构健康监测的压缩感知动力响应信号重构[J].振动工程学报,2022,35(3):699~706.[ZHANG Xiao?hua, XIAO Xing?yong, FANG Sheng?en. Dynamic response reconstruction for bridge structural health monitoring based on compressed sensing[J]. Journal of Vibration Engineering,2022,35(3):699~706.]

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  • 在线发布日期: 2022-07-19
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