Inverse Unit Load Method for Full-Field Reconstruction of Bending Stiffness in Girder Bridges
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 9, Issue 2
Abstract
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.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This research work was jointly supported by the National Natural Science Foundation of China (Grant Nos. 52208303 and 52250011), the National Postdoctoral Program for Innovative Talents (Grant No. BX20220051), and the Fundamental Research Funds for the Central Universities (Grant Nos. DUT22ZD213 and DUT22QN235).
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Published In
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 9 • Issue 2 • June 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Sep 13, 2022
Accepted: Dec 29, 2022
Published online: Feb 21, 2023
Published in print: Jun 1, 2023
Discussion open until: Jul 21, 2023
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