skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: A solution to the static frame validation challenge problem using Bayesian model selection

Abstract

Within this paper, we provide a solution to the static frame validation challenge problem (see this issue) in a manner that is consistent with the guidelines provided by the Validation Challenge Workshop tasking document. The static frame problem is constructed such that variability in material properties is known to be the only source of uncertainty in the system description, but there is ignorance on the type of model that best describes this variability. Hence both types of uncertainty, aleatoric and epistemic, are present and must be addressed. Our approach is to consider a collection of competing probabilistic models for the material properties, and calibrate these models to the information provided; models of different levels of complexity and numerical efficiency are included in the analysis. A Bayesian formulation is used to select the optimal model from the collection, which is then used for the regulatory assessment. Lastly, bayesian credible intervals are used to provide a measure of confidence to our regulatory assessment.

Authors:
 [1];  [2]
  1. Cornell Univ., Ithaca, NY (United States). Civil and Environmental Engineering
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Applied Mechanics Development
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1426977
Report Number(s):
SAND-2007-0885J
Journal ID: ISSN 0045-7825; 524198
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
Computer Methods in Applied Mechanics and Engineering
Additional Journal Information:
Journal Volume: 197; Journal Issue: 29-32; Journal ID: ISSN 0045-7825
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 97 MATHEMATICS AND COMPUTING; Bayesian analysis; Model selection; Model validation; Random fields

Citation Formats

Grigoriu, M. D., and Field, R. V. A solution to the static frame validation challenge problem using Bayesian model selection. United States: N. p., 2007. Web. doi:10.1016/j.cma.2007.09.023.
Grigoriu, M. D., & Field, R. V. A solution to the static frame validation challenge problem using Bayesian model selection. United States. doi:10.1016/j.cma.2007.09.023.
Grigoriu, M. D., and Field, R. V. Sun . "A solution to the static frame validation challenge problem using Bayesian model selection". United States. doi:10.1016/j.cma.2007.09.023. https://www.osti.gov/servlets/purl/1426977.
@article{osti_1426977,
title = {A solution to the static frame validation challenge problem using Bayesian model selection},
author = {Grigoriu, M. D. and Field, R. V.},
abstractNote = {Within this paper, we provide a solution to the static frame validation challenge problem (see this issue) in a manner that is consistent with the guidelines provided by the Validation Challenge Workshop tasking document. The static frame problem is constructed such that variability in material properties is known to be the only source of uncertainty in the system description, but there is ignorance on the type of model that best describes this variability. Hence both types of uncertainty, aleatoric and epistemic, are present and must be addressed. Our approach is to consider a collection of competing probabilistic models for the material properties, and calibrate these models to the information provided; models of different levels of complexity and numerical efficiency are included in the analysis. A Bayesian formulation is used to select the optimal model from the collection, which is then used for the regulatory assessment. Lastly, bayesian credible intervals are used to provide a measure of confidence to our regulatory assessment.},
doi = {10.1016/j.cma.2007.09.023},
journal = {Computer Methods in Applied Mechanics and Engineering},
number = 29-32,
volume = 197,
place = {United States},
year = {2007},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

Save / Share: