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Inverse Unit Load Method for Full-Field Reconstruction of Bending Stiffness in Girder Bridges
A mechanics-based methodology called the inverse unit load method (IULM) is proposed for the distributed bending stiffness estimation of girder bridges utilizing in situ deflection responses. This inverse problem has important implications for bridge health monitoring and rapid bridge detection procedures. The IULM formulation is derived from a regularized least-squares function that employs the unit load method and Betti’s law as its underlying design theory. An anomaly index is defined to optimize the IULM discretization, which guarantees the stability and accuracy of the solution results. The present estimation model only requires real bridge deflection influence lines (DILs) as input; thus, it is generally suitable to estimate the bending stiffness of girder bridges with different boundary conditions under healthy or damaged conditions. Numerical validation cases for a three-span continuous bridge with different types of health states have been performed. The effects of the discretization strategy and measurement noise have been assessed with respect to the accuracy of the IULM solution. The numerical results demonstrate the excellent predictive capability, practical utility, and robustness of the IULM methodology. The present approach has promising potential in full-field bending stiffness estimation of girder bridges.
Inverse Unit Load Method for Full-Field Reconstruction of Bending Stiffness in Girder Bridges
A mechanics-based methodology called the inverse unit load method (IULM) is proposed for the distributed bending stiffness estimation of girder bridges utilizing in situ deflection responses. This inverse problem has important implications for bridge health monitoring and rapid bridge detection procedures. The IULM formulation is derived from a regularized least-squares function that employs the unit load method and Betti’s law as its underlying design theory. An anomaly index is defined to optimize the IULM discretization, which guarantees the stability and accuracy of the solution results. The present estimation model only requires real bridge deflection influence lines (DILs) as input; thus, it is generally suitable to estimate the bending stiffness of girder bridges with different boundary conditions under healthy or damaged conditions. Numerical validation cases for a three-span continuous bridge with different types of health states have been performed. The effects of the discretization strategy and measurement noise have been assessed with respect to the accuracy of the IULM solution. The numerical results demonstrate the excellent predictive capability, practical utility, and robustness of the IULM methodology. The present approach has promising potential in full-field bending stiffness estimation of girder bridges.
Inverse Unit Load Method for Full-Field Reconstruction of Bending Stiffness in Girder Bridges
ASCE-ASME J. Risk Uncertainty Eng. Syst., Part A: Civ. Eng.
You, Run-Zhou (author) / Yi, Ting-Hua (author) / Ren, Liang (author) / Li, Hong-Nan (author)
2023-06-01
Article (Journal)
Electronic Resource
English
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