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Bayesian Uncertainty Quantification and Propagation (UQ+P): State-of-the-Art Tools for Linear and Nonlinear Structural Dynamics Models

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Identification Methods for Structural Health Monitoring

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 567))

Abstract

A Bayesian framework for uncertainty quantification and propagation in complex structural dynamics simulations using vibration measurements is presented. The framework covers uncertainty quantification techniques for parameter estimation and model selection, as well as uncertainty propagation techniques for robust prediction of output quantities of interest in reliability and safety of the structural systems analyzed. Bayesian computational tools such as asymptotic approximation and sampling algorithms are presented. The Bayesian framework and the computational tools are implemented for linear and nonlinear finite element models in structural dynamics using either identified modal frequencies, measured response time histories, or frequency response spectra. High performance computing techniques that drastically reduce the excessive computational demands that arise from the large number of system simulations are outlined. Identified modal properties from a full-scale bridge demonstrate the use of the proposed framework for parameter estimation of linear FE models.

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Acknowledgments

The chapter summarizes research implemented under the ARISTEIA Action of the Operational Programme Education and Lifelong Learning and co-funded by the European Social Fund (ESF) and Greek National Resources.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Thessaly, Volos, Greece

    Costas Papadimitriou

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  1. Costas Papadimitriou
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Correspondence to Costas Papadimitriou .

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Editors and Affiliations

  1. Dept. of Civil, Envi. & GoematicEng., ETH Zürich, Zürich, Switzerland

    Eleni Chatzi

  2. University of Thessaly, Volos, Greece

    Costas Papadimitriou

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Papadimitriou, C. (2016). Bayesian Uncertainty Quantification and Propagation (UQ+P): State-of-the-Art Tools for Linear and Nonlinear Structural Dynamics Models. In: Chatzi, E., Papadimitriou, C. (eds) Identification Methods for Structural Health Monitoring. CISM International Centre for Mechanical Sciences, vol 567. Springer, Cham. https://doi.org/10.1007/978-3-319-32077-9_6

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  • DOI: https://doi.org/10.1007/978-3-319-32077-9_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-32075-5

  • Online ISBN: 978-3-319-32077-9

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