中小跨径桥梁轻量化损伤识别的高分辨率模态局部熵方法

Lightweight structural damage identification of short-and medium-span bridges based on local entropy of high-resolution modal

  • 摘要: 中小跨径桥梁数量众多且分布广泛,传统结构健康监测需要布置大量传感器,使得成本高昂,运维管理压力巨大,导致其工程应用和推广困难。针对中小跨径桥梁的轻量化健康监测需求,本文提出基于高分辨率模态局部熵的轻量化损伤识别方法。该方法在利用少量传感器的条件下,通过对移动荷载作用下的位移响应数据进行主成分分析,获得主成分矩阵,通过低通滤波器对主成分矩阵中的高频信息进行滤波,得到高分辨率模态振型,实现结构健康监测系统硬件轻量化。提出高分辨率模态振型局部熵(GLE)的概念和计算方法,并将其作为指示桥梁损伤位置的指标。为了验证所提方法的有效性和鲁棒性,本文对简支梁模型进行了数值模拟和实验验证。结果表明,本文方法只需少量传感器,成功定位了不同位置的单个损伤和多位置损伤。本文方法克服了需要结构无损数据作基准的制约,且表现出良好的噪声鲁棒性,实现中小跨径桥梁轻量化损伤识别。

     

    Abstract: A large number of short- and medium-span bridges are widely distributed. Traditional structural health monitoring (SHM) methods often require a large number of sensors, leading to high costs and significant challenges in operation and maintenance. To address the need for lightweight health monitoring of these bridges, this paper presents a novel damage identification algorithm based on high-resolution modal local entropy. Only limited sensors are required in this algorithm. The principal component matrix is derived by performing principal component analysis of the displacement responses under moving loads. High-frequency components in the matrix are then filtered using a low-pass filter to obtain high-resolution mode shapes. The concept and derivation of general local entropy (GLE) of high-resolution mode shape are introduced and used as an index to detect structural damage locations. To verify the effectiveness and robustness of the proposed method, numerical simulations and experimental validations have been conducted on a beam bridge model. The results show that the proposed method can successfully identify both the single damage and multiple damages with only limited sensors. This method also eliminates the need for baseline data from undamaged states. Additionally, the results demonstrate its satisfactory performance in terms of noise robustness, making it a promising solution for lightweight structural damage identification in short-and medium-span bridges.

     

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