Influence line identification method of beam bridge based on empirical mode decomposition and Tikhonov regularization
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 bridge with variable section,the deflection and strain time-history responses of simply-supported beam bridge and three-span con-tinuous beam bridge at different vehicle speeds were extracted,and the feasibility and effectiveness of identifying influence lines of beam bridge based on empirical mode decomposition and Tikhonov regularization method were verified.The deflection influence lines and strain influence lines of the structural examples of the beam bridge were identified accurately,and the identification effect of the influence lines was evaluated quantitatively by establishing error index.The research also found that the identification effect of the influence lines of the beam bridge decreased with the increase of the loading vehicle speed.
bridge engineeringmoving loadinfluence line identificationempirical mode decompositionTikhonov regularization