基于经验模态分解与Tikhonov正则化的梁桥影响线识别方法

Influence line identification method of beam bridge based on empirical mode decomposition and Tikhonov regularization

  • 摘要: 挠度影响线、应变影响线能够完整地反映梁桥截面抗弯刚度,在获取梁桥实测时程响应过程中,车辆移动荷载作用下的 梁桥响应掺杂了影响线信息和结构动力成分,并受到加载车辆的多轴效应干扰。为准确识别梁桥结构影响线,通过经验模态 分解剔除梁桥实测数据中的动力成分,得到含有车辆多轴效应的梁桥准静态响应数据,结合采样频率与车辆轴距,建立了影响 线识别的数学模型,将车辆多轴效应转化为单位集中荷载,进而采用Tikhonov正则化方法准确解得梁桥影响线的稳定解。通 过建立1/2双轴车过简支梁桥与三跨变截面连续梁桥的数值仿真模型,提取车辆不同移动速度下简支梁桥跨中和三跨连续梁 桥中跨跨中的挠度、应变时程响应,验证了基于经验模态分解与Tikhonov正则化识别梁桥影响线方法的可行性与有效性,准 确地识别了梁桥结构算例的挠度影响线、应变影响线,并通过建立误差指标定量评价了影响线识别效果。研究还发现,梁桥影 响线的识别效果随加载车辆速度的增大而降低。

     

    Abstract: The deflection influence line and strain influence line can integrally reflect the flexural stiffness of beam bridge section. In the process of obtaining the measured time-history response of beam bridge, the response of beam bridge involves the influence line information and structural dynamic components, and is interfered by the multi-axis effect of loading vehicle under vehicle moving load. In order to identify the influence line of beam bridge structure accurately, the empirical mode decomposition was proposed to eliminate the dynamic component in the measured data of beam bridge, and the quasi-static response data of beam bridge containing the multi-axis effect was obtained. Combined with the sampling frequency and vehicle wheelbase, a mathematical model was estab lished to identify the influence line, and the multi-axis effect of vehicle was converted into unit concentrated load. Tikhonov regular ization method was used to accurately solve the stable solution of the influence line of the beam bridge. Through the establishment of numerical simulation models of 1/2 two-axle vehicle-crossing simply-supported beam bridge and three-span continuous beam

     

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