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基于动态位移响应的桥梁影响线提取和损伤识别

Bridge Influence Line Extraction and Damage Identification Based on Dynamic Displacement Response

  • 摘要: 位移影响线(DIL)是评估桥梁健康的重要指标,但在实际工程应用中,由于车辆荷载的未知性,通常难以从桥梁的动态响应中直接提取并应用于损伤识别。针对这一问题,本文提出了一种结合多段基函数近似与自适应分段迭代拟合的计算框架,用于从桥梁动态响应中精确提取位移影响线并实现损伤识别。研究通过多段基函数对DIL进行逼近,并采用自适应分段策略进行迭代计算,从而提取出具有准静态特征的高精度DIL。进一步构建了位移影响线偏差(DDIL)和位移影响线偏差曲率(DCDIL)两项损伤识别指标。数值算例结果表明,该方法提取的DIL与理论值相比,均方根误差(RMSE)为0.0102,验证了提取算法的准确性;在损伤识别方面,DDILDCDIL的损伤定位偏差均控制在0.1 m以内,且当损伤程度由20%增至30%时,DCDIL的峰值幅值至少提升了100%,体现了其对损伤程度的显著敏感性。研究验证了所提出方法在等截面简支梁桥和变截面连续梁桥中提取影响线与损伤识别的有效性与准确性。

     

    Abstract: The displacement influence line (DIL) is an important index to evaluate the health of bridges. In practical engineering applications, due to the unknown nature of vehicle loads, it is usually difficult to directly extract and apply damage identification from the dynamic response of bridges. In order to solve this problem, this paper proposes a calculation framework combining multi-segment basis function approximation and adaptive piecewise iterative fitting, which is used to accurately extract the displacement influence line from the dynamic response of the bridge and realize damage identification. Specifically, the DIL is approximated by multi-segment basis functions, and the adaptive segmentation strategy is used for iterative calculation, so as to extract high-precision DIL with quasi-static characteristics. Furthermore, two damage identification indexes, displacement influence line deviation (DDIL) and displacement influence line deviation curvature (DCDIL), are constructed in this paper. The results of numerical examples show that the root mean square error (RMSE) of DIL extracted by this method is 0.0102 compared with the theoretical value, which verifies the accuracy of the extraction algorithm. In terms of damage identification, the damage location deviation of DDIL and DCDIL is controlled within 0.1m, and when the damage degree increases from 20 % to 30 %, the peak amplitude of DCDIL increases by at least 100 %, reflecting its significant sensitivity to the degree of damage. The research verifies the effectiveness and accuracy of the proposed method in extracting influence lines and damage identification in simply supported beam bridges with equal cross-section and continuous beam bridges with variable cross-section.

     

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