A Computationally-Efficient Probabilistic Approach to Model-Based Damage Diagnosis

This work presents a computationally-efficient, probabilistic approach to model-based damage diagnosis. Given measurement data, probability distributions of unknown damage parameters are estimated using Bayesian inference and Markov chain Monte Carlo (MCMC) sampling. Substantial computational speedu...

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Main Authors: James E. Warner, Geoffrey F. Bomarito, Jacob D. Hochhalter, William P. Leser, Patrick E. Leser, John A. Newman
Format: Article
Language:English
Published: The Prognostics and Health Management Society 2017-06-01
Series:International Journal of Prognostics and Health Management
Subjects:
Online Access:https://papers.phmsociety.org/index.php/ijphm/article/view/2637
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author James E. Warner
Geoffrey F. Bomarito
Jacob D. Hochhalter
William P. Leser
Patrick E. Leser
John A. Newman
author_facet James E. Warner
Geoffrey F. Bomarito
Jacob D. Hochhalter
William P. Leser
Patrick E. Leser
John A. Newman
author_sort James E. Warner
collection DOAJ
description This work presents a computationally-efficient, probabilistic approach to model-based damage diagnosis. Given measurement data, probability distributions of unknown damage parameters are estimated using Bayesian inference and Markov chain Monte Carlo (MCMC) sampling. Substantial computational speedup is obtained by replacing a three-dimensional finite element (FE) model with an efficient surrogate model. While the formulation is general for arbitrary component geometry, damage type, and sensor data, it is applied to the problem of strain-based crack characterization and experimentally validated using full-field strain data from digital image correlation (DIC). Access to full-field DIC data facilitates the study of the effectiveness of strain-based diagnosis as the distance between the location of damage and strain measurements is varied. The ability of the framework to accurately estimate the crack parameters and effectively capture the uncertainty due to measurement proximity and experimental error is demonstrated. Furthermore, surrogate modeling is shown to enable diagnoses on the order of seconds and minutes rather than several days required with the FE model.
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spelling doaj.art-555c567dae0b48db9da296cce83d20b12022-12-21T22:23:24ZengThe Prognostics and Health Management SocietyInternational Journal of Prognostics and Health Management2153-26482153-26482017-06-0182doi:10.36001/ijphm.2017.v8i2.2637A Computationally-Efficient Probabilistic Approach to Model-Based Damage DiagnosisJames E. Warner0Geoffrey F. Bomarito1Jacob D. Hochhalter2William P. Leser3Patrick E. Leser4John A. Newman5NASA Langley Research Center, Hampton, VA, 23666, USANASA Langley Research Center, Hampton, VA, 23666, USANASA Langley Research Center, Hampton, VA, 23666, USANASA Langley Research Center, Hampton, VA, 23666, USANASA Langley Research Center, Hampton, VA, 23666, USANASA Langley Research Center, Hampton, VA, 23666, USAThis work presents a computationally-efficient, probabilistic approach to model-based damage diagnosis. Given measurement data, probability distributions of unknown damage parameters are estimated using Bayesian inference and Markov chain Monte Carlo (MCMC) sampling. Substantial computational speedup is obtained by replacing a three-dimensional finite element (FE) model with an efficient surrogate model. While the formulation is general for arbitrary component geometry, damage type, and sensor data, it is applied to the problem of strain-based crack characterization and experimentally validated using full-field strain data from digital image correlation (DIC). Access to full-field DIC data facilitates the study of the effectiveness of strain-based diagnosis as the distance between the location of damage and strain measurements is varied. The ability of the framework to accurately estimate the crack parameters and effectively capture the uncertainty due to measurement proximity and experimental error is demonstrated. Furthermore, surrogate modeling is shown to enable diagnoses on the order of seconds and minutes rather than several days required with the FE model.https://papers.phmsociety.org/index.php/ijphm/article/view/2637uncertainty quantificationsurrogate modelingdamage diagnosis
spellingShingle James E. Warner
Geoffrey F. Bomarito
Jacob D. Hochhalter
William P. Leser
Patrick E. Leser
John A. Newman
A Computationally-Efficient Probabilistic Approach to Model-Based Damage Diagnosis
International Journal of Prognostics and Health Management
uncertainty quantification
surrogate modeling
damage diagnosis
title A Computationally-Efficient Probabilistic Approach to Model-Based Damage Diagnosis
title_full A Computationally-Efficient Probabilistic Approach to Model-Based Damage Diagnosis
title_fullStr A Computationally-Efficient Probabilistic Approach to Model-Based Damage Diagnosis
title_full_unstemmed A Computationally-Efficient Probabilistic Approach to Model-Based Damage Diagnosis
title_short A Computationally-Efficient Probabilistic Approach to Model-Based Damage Diagnosis
title_sort computationally efficient probabilistic approach to model based damage diagnosis
topic uncertainty quantification
surrogate modeling
damage diagnosis
url https://papers.phmsociety.org/index.php/ijphm/article/view/2637
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