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A probabilistic approach to structural model updating

Katafygiotis, Lambros S. and Papadimitriou, Costas and Lam, Heung-Fai (1998) A probabilistic approach to structural model updating. Soil Dynamics and Earthquake Engineering, 17 (7-8). pp. 495-507. ISSN 0267-7261. http://resolver.caltech.edu/CaltechAUTHORS:20170408-172836638

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Abstract

The problem of updating a structural model and its associated uncertainties by utilizing measured dynamic response data is addressed. A Bayesian probabilistic formulation is followed to obtain the posterior probability density function (PDF) of the uncertain model parameters for given measured data. The present paper discusses the issue of identifiability of the model parameters and reviews existing asymptotic approximations for identifiable cases. The focus of the paper is on the treatment of the general unidentifiable case where the earlier approximations are not applicable. In this case the posterior PDF of the parameters is found to be concentrated in the neighborhood of an extended and extremely complex manifold in the parameter space. The computational difficulties associated with calculating the posterior PDF in such cases are discussed and an algorithm for an efficient approximate representation of the above manifold and the posterior PDF is presented. Numerical examples involving noisy data are presented to demonstrate the concepts and the proposed method.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/S0267-7261(98)00008-6DOIArticle
https://www.sciencedirect.com/science/article/pii/S0267726198000086PublisherArticle
ORCID:
AuthorORCID
Papadimitriou, Costas0000-0002-9792-0481
Additional Information:© 1998 Elsevier. Received 4 February 1998, Accepted 17 February 1998, Available online 11 January 1999. This work is based upon work partly supported by the Hong Kong Research Grant Council under grants HKUST 639/95E and HKUST 6041/97E. Valuable discussions with Professor James L. Beck at the California Institute of Technology are sincerely appreciated.
Funders:
Funding AgencyGrant Number
Hong Kong Research Grant CouncilHKUST 639/95E
UNSPECIFIEDHKUST 6041/97E
Subject Keywords:system identification; model updating; Bayesian method; uniqueness; structural dynamics
Record Number:CaltechAUTHORS:20170408-172836638
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170408-172836638
Official Citation:Lambros S. Katafygiotis, Costas Papadimitriou, Heung-Fai Lam, A probabilistic approach to structural model updating, Soil Dynamics and Earthquake Engineering, Volume 17, Issues 7–8, 1998, Pages 495-507, ISSN 0267-7261, https://doi.org/10.1016/S0267-7261(98)00008-6. (http://www.sciencedirect.com/science/article/pii/S0267726198000086)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:76355
Collection:CaltechAUTHORS
Deposited By: 1Science Import
Deposited On:13 Mar 2018 21:25
Last Modified:04 Apr 2019 21:52

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