Seismic Structural Health Monitoring Using Bayesian Methods and Nonlinear Structural Finite Element Models


Abstract eng:
This paper presents an approach for structural health monitoring by integrating nonlinear structural finite element (FE) models and Bayesian methods. Batch and recursive Bayesian estimation methods are used to calibrate/update a nonlinear structural FE model of a structure (e.g., building, bridge, dam, etc.) employing the input-output dynamic data recorded during an earthquake event. Unknown parameters of the nonlinear FE model describing inertia, geometric, material constitutive models, and/or constraint properties of the structure are estimated using spatially-sparse response data recorded by homogeneous or heterogeneous sensor arrays. The updated nonlinear FE model is then used to assess the state of health or damage of the structure. The recursive Bayesian estimation method processes the measured data recursively, and updates the estimation of the FE model parameters progressively over the time history of the event. The recursive Bayesian estimation method results in a nonlinear Kalman filtering approach. The Extended Kalman filter (EKF) and Unscented Kalman filter (UKF) are employed as recursive Bayesian estimation methods. The batch estimation method is based on a maximum a posteriori estimation (MAP) approach, where the time history of the input and output measurements are used as a single batch of data for estimating the FE model parameters. This method results in a nonlinear optimization problem that is solved using a gradient-based optimization algorithm. For those estimation methods requiring the computation of structural FE response sensitivities with respect to the unknown FE model parameters, the direct differentiation method (DDM) is employed. Response data numerically simulated from a nonlinear FE model with unknown material model parameters of a five-story two-by-one bay reinforced concrete frame building subjected to bi-directional horizontal seismic excitation are used to illustrate the performance of the proposed framework.

Contributors:
Conference Title:
Conference Title:
16th World Conference on Earthquake Engineering
Conference Venue:
Santiago (CL)
Conference Dates:
2017-01-09 / 2017-01-13
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.



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 Record created 2017-01-18, last modified 2017-01-18


Original version of the author's contribution as presented on USB, paper 4485.:
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