Quantifying uncertainty in material damage from vibrational data

Butler, T.; Huhtala, A.; Juntunen, M.

doi:10.1016/j.jcp.2014.12.011

Title: Quantifying uncertainty in material damage from vibrational data

Journal Article · Sun Feb 01 00:00:00 EST 2015 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2014.12.011· OSTI ID:1247056

Butler, T.; Huhtala, A.; Juntunen, M.

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Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: SC0009279

OSTI ID:: 1247056

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 283 Journal Issue: C; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 3 works

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References (16)

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Damage detection using generic elements: Part I. Model updating Titurus, Branislav; Friswell, Michael I.; Starek, Ladislav Computers & Structures, Vol. 81, Issue 24-25 https://doi.org/10.1016/S0045-7949(03)00317-1	journal	September 2003
A Computational Measure Theoretic Approach to Inverse Sensitivity Problems II: A Posteriori Error Analysis Butler, T.; Estep, D.; Sandelin, J. SIAM Journal on Numerical Analysis, Vol. 50, Issue 1 https://doi.org/10.1137/100785958	journal	January 2012
Damage detection using generic elements: Part II. Damage detection Titurus, Branislav; Friswell, Michael I.; Starek, Ladislav Computers & Structures, Vol. 81, Issue 24-25 https://doi.org/10.1016/S0045-7949(03)00318-3	journal	September 2003
Damage Detection in Structures Using Changes in Flexibility Pandey, A. K.; Biswas, M. Journal of Sound and Vibration, Vol. 169, Issue 1 https://doi.org/10.1006/jsvi.1994.1002	journal	January 1994
The Ensemble Kalman Filter: theoretical formulation and practical implementation Evensen, Geir Ocean Dynamics, Vol. 53, Issue 4 https://doi.org/10.1007/s10236-003-0036-9	journal	November 2003
A Measure-Theoretic Computational Method for Inverse Sensitivity Problems III: Multiple Quantities of Interest Butler, T.; Estep, D.; Tavener, S. SIAM/ASA Journal on Uncertainty Quantification, Vol. 2, Issue 1 https://doi.org/10.1137/130930406	journal	January 2014
Robust Ensemble Filtering and Its Relation to Covariance Inflation in the Ensemble Kalman Filter Luo, Xiaodong; Hoteit, Ibrahim Monthly Weather Review, Vol. 139, Issue 12 https://doi.org/10.1175/MWR-D-10-05068.1	journal	December 2011
Ensemble Square Root Filters* Tippett, Michael K.; Anderson, Jeffrey L.; Bishop, Craig H. Monthly Weather Review, Vol. 131, Issue 7 https://doi.org/10.1175/1520-0493(2003)131<1485:ESRF>2.0.CO;2	journal	July 2003
A Measure-Theoretic Computational Method for Inverse Sensitivity Problems I: Method and Analysis Breidt, J.; Butler, T.; Estep, D. SIAM Journal on Numerical Analysis, Vol. 49, Issue 5 https://doi.org/10.1137/100785946	journal	January 2011
A two-stage ensemble Kalman filter for smooth data assimilation Johns, Craig J.; Mandel, Jan Environmental and Ecological Statistics, Vol. 15, Issue 1 https://doi.org/10.1007/s10651-007-0033-0	journal	September 2007
A numerical method for solving a stochastic inverse problem for parameters Butler, T.; Estep, D. Annals of Nuclear Energy, Vol. 52 https://doi.org/10.1016/j.anucene.2012.05.016	journal	February 2013
Crack Modeling for Structural Health Monitoring Friswell, M. I.; Penny, J. E. T. Structural Health Monitoring, Vol. 1, Issue 2 https://doi.org/10.1177/1475921702001002002	journal	June 2002
Reparameterization for statistical state estimation applied to differential equations Butler, T.; Juntunen, M. Journal of Computational Physics, Vol. 231, Issue 6 https://doi.org/10.1016/j.jcp.2011.12.019	journal	March 2012
A Posteriori Error Bounds and Global Error Control for Approximation of Ordinary Differential Equations Estep, Donald SIAM Journal on Numerical Analysis, Vol. 32, Issue 1 https://doi.org/10.1137/0732001	journal	February 1995

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