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    基于车桥耦合与位移重构的轻量化高精度桥梁模态参数识别

    Lightweight and High-Precision Bridge Modal Parameter Identification Based on Vehicle-Bridge Interaction and Displacement Reconstruction

    • 摘要: 针对中小跨径桥梁传感器布设密度低、长期高成本监测难以推广的问题,提出一种基于车桥耦合与位移重构的轻量化桥梁模态参数识别方法.该方法首先对桥梁加速度响应进行二次积分,并引入支座位移约束以抑制积分漂移,从而获得桥梁位移重构结果;进而采用变分非线性调频模态分解(variational nonlinear chirp mode decomposition,VNCMD)技术提取位移准静态分量,构造“测点位置×时间采样点”的准静态位移观测矩阵,并利用奇异值分解识别桥梁前三阶振型;最后,结合单测点频谱基频估计与奇异值约束关系,推导各阶固有频率的识别公式.以厦门市BRT同安段三跨连续梁桥为对象,建立ABAQUS有限元模型,并从车速、车重、路面粗糙度等级和测点数量4方面开展参数分析.结果表明,在基准工况下,仅需布置3个加速度计即可实现桥梁前三阶模态参数识别,前三阶频率相对误差分别为0.71%、3.43%和4.28%,模态置信准则(modal assurance criterion,MAC)分别为0.9998、0.9974和0.9890.在不同车速、车重、路面粗糙度和测点数量工况下,振型MAC均大于0.988,频率相对误差整体处于可接受范围.该方法可为中小跨径桥梁的低成本、轻量化模态参数识别提供参考.

       

      Abstract: A lightweight bridge modal parameter identification method based on vehicle-bridge interaction and displacement reconstruction was proposed for small- and medium-span bridges with sparse sensor deployment.Measured bridge accelerations were first double-integrated,and support displacement constraints were introduced to suppress integration drift and reconstruct bridge displacement responses.Variational nonlinear chirp mode decomposition was then used to extract the quasi-static displacement component.A quasi-static displacement observation matrix defined by sensor locations and time samples was constructed,and singular value decomposition was used to identify the first three bridge mode shapes.Natural frequencies were further obtained by combining the fundamental frequency estimated from a single-point spectrum with a singular-value constraint relationship.An ABAQUS finite element model of a three-span continuous girder bridge in the Tong’an section of the Xiamen BRT system was established,and parametric analyses were conducted for vehicle speed,vehicle mass,road roughness grade,and sensor number.Under the reference case,the first three natural frequency relative errors were 0.71%,3.43%,and 4.28%,and the corresponding modal assurance criterion (MAC) values were 0.9998,0.9974,and 0.9890,using only three accelerometers.Under different parameter conditions,all mode shape MAC values exceeded 0.988,and the frequency errors remained within an acceptable range.The method provides a feasible low-cost approach for lightweight modal identification of small- and medium-span bridges.

       

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