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Updating of a Model and its Uncertainties Utilizing Dynamic Test Data

Beck, J. L. and Katafygiotis, L. S. (1991) Updating of a Model and its Uncertainties Utilizing Dynamic Test Data. In: Computational stochastic mechanics : [1st International Conference on Computational Stochastic Methods, 17-19 September 1991, Corfu, Greece]. Computational Mechanics Publications , Boston, MA, pp. 125-136. ISBN 1562520741.

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The problem of updating a structural model and its associated uncertainties by utilizing structural response data is addressed. Using a Bayesian probabilistic formulation, 6the updated "posterior" probability distribution of the uncertain parameters is obtained and it is found that for a large number of data points it is very peaked at some "optimal" values of the parameters. These optimal parameters can be obtained by minimizing a positive-definite measure-of-fit function. This paper focuses on the identifiability of the optimal parameters. The problem of finding the whole set of optimal models that have the same output at the observed degrees of freedom for a given input is resolved for the first time, by presenting an algorithm which methodically and efficiently searches the parameter space. Also, a simplified expression is given for the weighting coefficients associated with each optimal model which are involved in the probability distribution for the predicted response.

Item Type:Book Section
Record Number:CaltechAUTHORS:20120926-114347243
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:34460
Deposited By: Carmen Nemer-Sirois
Deposited On:24 Oct 2012 23:16
Last Modified:03 Oct 2019 04:19

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