Abstract
This paper develops a Bayesian methodology for uncertainty quantification and test resource allocation in multi-level systems. The various component, subsystem, and system-level models, the corresponding parameters, and the model errors are connected efficiently using a Bayes network. This provides a unified framework for uncertainty analysis where test data can be integrated along with computational models and simulations. The Bayes network is useful in two ways: (1) in a forward problem where the various sources of uncertainty are propagated through multiple levels of modeling to predict the overall uncertainty in the system response; and (2) in an inverse problem where the model parameters of multiple subsystems are calibrated simultaneously using test data. The calibration procedure leads to a decrease in the variance of the model parameters, and hence, in the overall system performance prediction. Then the Bayes network is used for test resource allocation where an optimization-based procedure is used to identify tests that can effectively reduce the uncertainty in the system model prediction are identified. The proposed methods are illustrated using two numerical examples: a multi-level structural dynamics problem and a multi-disciplinary thermally induced vibration problem.
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Acknowledgment
The research described in this paper was carried out at Vanderbilt University and the Jet Propulsion Laboratory, California Institute of Technology, under a contract (No. RSA 1400821, P. I. Dr. Lee Peterson) with the National Aeronautics and Space Administration.
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© 2012 The Society for Experimental Mechanics, Inc. 2012
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Sankararaman, S., McLemore, K., Mahadevan, S. (2012). Bayesian Methods for Uncertainty Quantification in Multi-level Systems. In: Simmermacher, T., Cogan, S., Horta, L., Barthorpe, R. (eds) Topics in Model Validation and Uncertainty Quantification, Volume 4. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-2431-4_7
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DOI: https://doi.org/10.1007/978-1-4614-2431-4_7
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