Bayesian optimal estimation for output-only nonlinear system and damage identification of civil structures
Datum
2018Language
en
DOI
Schlagwort
Zusammenfassung
This paper presents a new framework for output-only nonlinear system and damage identification of civil structures. This framework is based on nonlinear finite element (FE) model updating in the time-domain, using only the sparsely measured structural response to unmeasured or partially measured earthquake excitation. The proposed framework provides a computationally feasible approach for structural health monitoring and damage identification of civil structures when accurate measurement of the input seismic excitations is challenging (e.g., buildings with significant foundation rocking and bridges with piers in deep water) or the measured seismic excitations are erroneous and/or distorted by significant measurement error (e.g., malfunctioning sensors). Grounded on Bayesian inference, the proposed framework estimates the unknown FE model parameters and the ground acceleration time histories simultaneously, using the sparse measured dynamic response of the structure. Two approaches are presented in this study to solve the joint structural system parameter and input identification problem: (a) a sequential maximum likelihood estimation approach, which reduces to a sequential nonlinear constrained optimization method, and (b) a sequential maximum a posteriori estimation approach, which reduces to a sequential iterative extended Kalman filtering method. Both approaches require the computation of FE response sensitivities with respect to the unknown FE model parameters and the values of base acceleration at each time step. The FE response sensitivities are computed efficiently using the direct differentiation method. The two proposed approaches are validated using the seismic response of a 5-story reinforced concrete building structure, numerically simulated using a state-of-the-art mechanics-based nonlinear structural FE modeling technique. The simulated absolute acceleration response time histories of 3 floors and the relative (to the base) roof displacement response time histories of the building to a bidirectional horizontal seismic excitation are polluted with artificial measurement noise. The noisy responses of the structure are then used to estimate the unknown FE model parameters characterizing the nonlinear material constitutive laws of the concrete and reinforcing steel and the (assumed) unknown time history of the ground acceleration in the longitudinal direction of the building. The same nonlinear FE model of the structure is used to simulate the structural response and to estimate the dynamic input and system parameters. Thus, modeling uncertainty is not considered in this paper. Although the validation study demonstrates the estimation accuracy of both approaches, the sequential maximum a posteriori estimation approach is shown to be significantly more efficient computationally than the sequential maximum likelihood estimation approach. Copyright © 2018 John Wiley & Sons, Ltd.
Collections
Verwandte Dokumente
Anzeige der Dokumente mit ähnlichem Titel, Autor, Urheber und Thema.
-
On the consideration of wave and structural nonlinearities in the design of compliant towers through dynamic analysis
Chatziioannou K., Katsardi V., Koukouselis A., Mistakidis E. (2018)The purpose of this work is to highlight the importance of considering the wave and structural nonlinearities in the design through dynamic analysis of offshore platforms located in deep water. The paper studies the necessity ... -
The effect of nonlinear wave-structure and soil-structure interactions in the design of an offshore structure
Chatziioannou K., Katsardi V., Koukouselis A., Mistakidis E. (2017)This work highlights the importance of the consideration of nonlinearities in the analysis and design of deep water platforms. The nonlinearities concern both the calculation of the wave loading and the structural analysis ... -
Development of an equivalent static method for the approximation of the dynamic response of offshore structures
Koukouselis A., Chatziioannou K., Mistakidis E., Katsardi V. (2019)Purpose: The design of compliant towers in deep waters is greatly affected by their dynamic response to wave loads as well as by the geometrical and material nonlinearities that appear. In general, a nonlinear time history ...