Investigation of model uncertainties in Bayesian structural model updating

Journal of Sound and Vibration

Volumn 330, Issue 25, 2011, Pages 6122-6136

  Goller, B ^a   Schueller G I ^a  

^a UNIVERSITY OF INNSBRUCK   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

BAYESIAN UPDATING PROCEDURES; EXPERIMENTAL DATA; FINITE ELEMENT MODELS; MECHANICAL ENVIRONMENT; MODEL OUTPUTS; MODEL UNCERTAINTIES; MODEL UPDATING; MODELING PROCESS; NON-LINEARITY; NUMERICAL EXAMPLE; REAL STRUCTURE; STATISTICAL FRAMEWORK; STRUCTURAL MODEL UPDATING; STRUCTURAL PARAMETER; STRUCTURAL PERFORMANCE; TEST DATA;

FINITE ELEMENT METHOD; MEASUREMENT ERRORS; MODEL STRUCTURES;

UNCERTAINTY ANALYSIS;

EID: 80052510981     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2011.07.036     Document Type: Article

References (34)

1. M. Friswell, and J. Mottershead Finite Element Model Updating in Structural Dynamics 1995 Kluwer Academic Publishers
2. A. Calvi Uncertainty-based loads analysis for spacecraft: finite element model validation and dynamic responses Computers & Structures 83 14 2005 1103 1112 (Pubitemid 40423310)
3. K.-V. Yuen Bayesian Methods for Structural Dynamics and Civil Engineering 2010 John Wiley & Sons New York
4. G. Schuëller On the treatment of uncertainties in structural mechanics and analysis Computers & Structures 85 56 2007 235 243 (Pubitemid 46135637)
5. C. Soize A comprehensive overview of a non-parametric probabilistic approach of model uncertainties for predictive models in structural dynamics Journal of Sound and Vibration 288 3 2005 623 652 (Pubitemid 41360488)
6. R. Menezes, C. Brenner, On mechanical modeling uncertainties in view of failure data, in: G. Schuëller, M. Shinozuka, J. Yao (Eds.), Structural Safety and Reliability, ICOSSAR 1993, Balkema, Rotterdam, 1994, pp. 305308.
7. R. Menezes, and G. Schuëller On structural reliability assessment considering mechanical model uncertainties H.G. Natke, Y. Ben-Haim, Uncertainty: Models and Measures: Proceedings of the International Workshop, Lambrecht, Germany, July 2224 Vol. 1 1996 Akademie Verlag Berlin 175 186
8. C. Soize A nonparametric model of random uncertainties for reduced matrix models in structural dynamics Probabilistic Engineering Mechanics 15 2000 277 294
9. C. Soize Maximum entropy approach for modeling random uncertainties in transient elastodynamics Journal of the Acoustical Society of America 109 2001 1979 1996
10. E. Capiez-Lernout, and C. Soize Robust design optimization in computational mechanics Journal of Applied Mechanics 75 2 2008 1 11
11. D. Degrauwe, G.D. Roeck, and G. Lombaert Uncertainty quantification in the damage assessment of a cable-stayed bridge by means of fuzzy numbers Computers & Structures 87 1718 2009 1077 1084
12. E. Altunok, M.R. Taha, and T. Ross Possibilistic approach for damage detection in structural health monitoring Journal of Structural Engineering 133 9 2007 1247 1256 (Pubitemid 47293561)
13. R. Cox Probability, frequency and reasonable expectation American Journal of Physics 14 1 1946 1 13
14. R. Cox The Algebra of Probable Inference 1961 Johns Hopkins Press
15. D. Sivia Data Analysis. A Bayesian Tutorial 1996 Oxford University Press
16. C. Robert The Bayesian Choice. Springer Texts in Statistics second ed. 2001 Springer Verlag New York
17. G. Fraccone, V. Volovoi, and M. Ruzzene Bayesian estimation of a dynamic structures response Journal of Sound and Vibration 329 1 2010 21 42
18. R. Zhang, and S. Mahadevan Model uncertainty and Bayesian updating in reliability-based inspection Structural Safety 22 2 2000 145 160 (Pubitemid 30411394)
19. E. Sibilio, Seismic Risk Assessment of Structures by Means of Stochastic Simulation Techniques, PhD Thesis, University of Braunschweig and University of Florence, 2006.
20. T. Rivas, J. Matías, J. Taboada, and A. Argüelles Application of Bayesian networks to the evaluation of roofing slate quality Engineering Geology 94 12 2007 27 37 (Pubitemid 47457087)
21. M. Christie, V. Demyanov, and D. Erbas Uncertainty quantification for porous media flows Journal of Computational Physics 217 1 2006 143 158 (Pubitemid 44111672)
22. J. Beck, and L. Katafygiotis Updating models and their uncertainties. I: Bayesian statistical framework Journal of Engineering Mechanics 128 4 1998 380 391
23. L. Katafygiotis, and J. Beck Updating models and their uncertainties. II: model identifiability Journal of Engineering Mechanics 124 4 1998 463 467 (Pubitemid 128571488)
24. J. Beck, and K.-V. Yuen Model selection using response measurements: Bayesian probabilistic approach Journal of Engineering Mechanics 130 2 2004 192 203 (Pubitemid 38242322)
25. M. Muto, and J. Beck Bayesian updating and model class selection using stochastic simulation Journal of Vibration and Control 14 2008 7 34
26. S. Cheung, and J. Beck Calculation of posterior probabilities for Bayesian model class assessment and averaging from posterior samples based on dynamic system data Computer-Aided Civil and Infrastructure Engineering 25 2010 304 321
27. I. Park, H. Amarchinta, and R. Grandhi A Bayesian approach for quantification of model uncertainty Reliability Engineering and System Safety 95 7 2010 777 785
28. E. Jaynes Information theory and statistical mechanics The Physical Review 106 4 1957 620 630
29. E. Jaynes Probability Theory: The Logic of Science 2003 Cambridge University Press
30. M. Vanik, J. Beck, and S.-K. Au Bayesian probabilistic approach to structural health monitoring Journal of Engineering Mechanics 126 2000 738 745
31. J. Ching, M. Muto, and J. Beck Structural model updating and health monitoring with incomplete modal data using Gibbs sampler Computer-Aided Civil and Infrastructure Engineering 21 2006 242 257 (Pubitemid 43349335)
32. D.J. Ewins Modal Testing: Theory, Practice, and Application second ed. 2001 Research Studies Press Baldock
33. J. Ching, and Y.-C. Chen Transitional Markov Chain Monte Carlo method for Bayesian updating, model class selection, and model averaging Journal of Engineering Mechanics 133 2007 816 832 (Pubitemid 46995168)
34. E. Droguett, and A. Mosley Bayesian methodology for model uncertainty using model performance data Risk Analysis 28 5 2008 1457 1476