Gaviria-Mendoza, Carlos A.

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    A computational framework for structural health monitoring of reinforced concrete structures
    (2015) Gaviria-Mendoza, Carlos A.; Montejo Valencia, Luis A.; College of Engineering; Suárez, Luis E.; López Rodríguez, Ricardo R.; Martínez Cruzado, José A.; Department of Civil Engineering; Atiles Osoria, José M.
    This research work is aimed to develop a robust Structural Health Monitoring (SHM) scheme that combines modern system identification methodologies and advanced signal processing techniques to improve the capabilities of such methodologies when working with non-stationary noise contaminated signals. The Continuous Wavelet Transform (CWT) is comprehensively studied in its mathematical core and computational implementation. An improved algorithm for the implementation of the CWT and a framework for the identification of dynamic properties from the vibrational response of the structure are proposed. Specifically, the CWT is used for estimation of vibrational frequency shifts during the seismic excitation and average damping ratios after the strong motion fades away. Modal Analysis from Free Vibration Response Only (MAFVRO) and Mass Modification (MM) methodologies are engaged to identify mass and stiffness matrixes of the structure. These methodologies are extensively reviewed and improved through the implementation of a novel CWT-based time-adapted de-noising scheme. Finally, a methodology based on the Unscented Kalman Filter (UKF) to update a simple piece-wise linear model of the structure is implemented to track the changes in the structural/dynamic properties of the structure as it is subjected to seismic excitations. This allows the discovery of damaging events occurring during the excitation and that may become indiscernible to methodologies based on the identification and comparison of initial and final states of the structure (e.g. MAVFRO). Nevertheless, the previously implemented methodologies (CWT, MM, MAVFRO) may play a key role within the UKF scheme as they can be used to provide the starting structural parameters and augment the information provided by the UKF so that a more robust diagnosis of the structural health can be provided. The proposed schemes are calibrated and validated using a variety of experimental and simulated data, from simple toy signals and elastic shear building models to detailed distributed plasticity finite element models and large scale shaking table tests.