Bayesian Model-Updating Using Features of Modal Data: Application to the Metsovo Bridge

A Bayesian framework is presented for finite element model-updating using experimental modal data. A novel likelihood formulation is proposed regarding the inclusion of the mode shapes, based on a probabilistic treatment of the MAC value between the model predicted and experimental mode shapes. The...

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Main Authors: Costas Argyris, Costas Papadimitriou, Panagiotis Panetsos, Panos Tsopelas
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Journal of Sensor and Actuator Networks
Subjects:
Online Access:https://www.mdpi.com/2224-2708/9/2/27
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author Costas Argyris
Costas Papadimitriou
Panagiotis Panetsos
Panos Tsopelas
author_facet Costas Argyris
Costas Papadimitriou
Panagiotis Panetsos
Panos Tsopelas
author_sort Costas Argyris
collection DOAJ
description A Bayesian framework is presented for finite element model-updating using experimental modal data. A novel likelihood formulation is proposed regarding the inclusion of the mode shapes, based on a probabilistic treatment of the MAC value between the model predicted and experimental mode shapes. The framework is demonstrated by performing model-updating for the Metsovo bridge using a reduced high-fidelity finite element model. Experimental modal identification methods are used in order to extract the modal characteristics of the bridge from ambient acceleration time histories obtained from field measurements exploiting a network of reference and roving sensors. The Transitional Markov Chain Monte Carlo algorithm is used to perform the model updating by drawing samples from the posterior distribution of the model parameters. The proposed framework yields reasonable uncertainty bounds for the model parameters, insensitive to the redundant information contained in the measured data due to closely spaced sensors. In contrast, conventional Bayesian formulations which use probabilistic models to characterize the components of the discrepancy vector between the measured and model-predicted mode shapes result in unrealistically thin uncertainty bounds for the model parameters for a large number of sensors.
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spelling doaj.art-c88aa23f45fb44b68825b2a5312c4cf42023-11-20T02:43:18ZengMDPI AGJournal of Sensor and Actuator Networks2224-27082020-06-01922710.3390/jsan9020027Bayesian Model-Updating Using Features of Modal Data: Application to the Metsovo BridgeCostas Argyris0Costas Papadimitriou1Panagiotis Panetsos2Panos Tsopelas3Department of Mechanical Engineering, University of Thessaly, 38334 Volos, GreeceDepartment of Mechanical Engineering, University of Thessaly, 38334 Volos, GreeceCapital Maintenance Department, Egnatia Odos S.A., 57001 Thermi, GreeceDepartment of Mechanics, School of Applied Mathematical and Physical Sciences, National Technical University of Athens, 15773 Athens, GreeceA Bayesian framework is presented for finite element model-updating using experimental modal data. A novel likelihood formulation is proposed regarding the inclusion of the mode shapes, based on a probabilistic treatment of the MAC value between the model predicted and experimental mode shapes. The framework is demonstrated by performing model-updating for the Metsovo bridge using a reduced high-fidelity finite element model. Experimental modal identification methods are used in order to extract the modal characteristics of the bridge from ambient acceleration time histories obtained from field measurements exploiting a network of reference and roving sensors. The Transitional Markov Chain Monte Carlo algorithm is used to perform the model updating by drawing samples from the posterior distribution of the model parameters. The proposed framework yields reasonable uncertainty bounds for the model parameters, insensitive to the redundant information contained in the measured data due to closely spaced sensors. In contrast, conventional Bayesian formulations which use probabilistic models to characterize the components of the discrepancy vector between the measured and model-predicted mode shapes result in unrealistically thin uncertainty bounds for the model parameters for a large number of sensors.https://www.mdpi.com/2224-2708/9/2/27Bayesian inferencemodel updatingmodal identificationstructural dynamicsbridges
spellingShingle Costas Argyris
Costas Papadimitriou
Panagiotis Panetsos
Panos Tsopelas
Bayesian Model-Updating Using Features of Modal Data: Application to the Metsovo Bridge
Journal of Sensor and Actuator Networks
Bayesian inference
model updating
modal identification
structural dynamics
bridges
title Bayesian Model-Updating Using Features of Modal Data: Application to the Metsovo Bridge
title_full Bayesian Model-Updating Using Features of Modal Data: Application to the Metsovo Bridge
title_fullStr Bayesian Model-Updating Using Features of Modal Data: Application to the Metsovo Bridge
title_full_unstemmed Bayesian Model-Updating Using Features of Modal Data: Application to the Metsovo Bridge
title_short Bayesian Model-Updating Using Features of Modal Data: Application to the Metsovo Bridge
title_sort bayesian model updating using features of modal data application to the metsovo bridge
topic Bayesian inference
model updating
modal identification
structural dynamics
bridges
url https://www.mdpi.com/2224-2708/9/2/27
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