Structural model updating and prediction variability using Pareto optimal models

Computer Methods in Applied Mechanics and Engineering

Volumn 198, Issue 1, 2008, Pages 138-149

  Christodoulou, Konstantinos ^a   Ntotsios, Evaggelos ^a   Papadimitriou, Costas ^a   Panetsos, Panagiotis ^b  

^a UNIVERSITY OF THESSALY   (Greece)

^b Egnatia Odos AE   (Greece)

Author keywords

Model updating; Multi objective optimization; Pareto optimality; Reliability; Structural identification

Indexed keywords

ERRORS; FORECASTING; LEARNING SYSTEMS; MEASUREMENT ERRORS; MODAL ANALYSIS; MODEL STRUCTURES; MULTIOBJECTIVE OPTIMIZATION; OPTIMIZATION; PARETO PRINCIPLE; PHOTOMASKS; RELIABILITY; SPACECRAFT; STRUCTURAL OPTIMIZATION; UNCERTAINTY ANALYSIS;

AND MODELS; COMPUTATIONAL ISSUES; CONSISTENT; FINITE ELEMENT MODELS; LABORATORY STRUCTURES; MODAL CHARACTERISTICS; MODAL DATUM; MODEL CLASSES; MODEL UPDATING; OBJECTIVE IDENTIFICATIONS; OPTIMAL MODELS; OPTIMIZATION PROBLEMS; PARETO OPTIMALITY; RELIABILITY PREDICTIONS; RELIABLE; RESPONSE PREDICTIONS; STRUCTURAL IDENTIFICATION; STRUCTURAL MODEL UPDATING; STRUCTURAL MODELS;

FINITE ELEMENT METHOD;

EID: 54849439373     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2008.04.010     Document Type: Article

References (39)

1. Baruch M., and Bar Itzhack I.Y. Optimal weighted orthogonalization of measured modes. AIAA J. 16 4 (1978) 346-351
2. Mottershead J.E., and Friswell M.I. Model updating in structural dynamics: a survey. J. Sound Vibrat. 167 (1993) 347-375
3. Farhat C., and Hemez P.M. Updating finite element dynamics models using an element-by-element sensitivity methodology. AIAA J. 131 (1993) 1702-1711
4. Capecchi D., and Vestroni F. Identification of finite-element models in structural dynamics. Engrg. Struct. 15 1 (1993) 21-30
5. Link M. Updating analytical models by using local and global parameters and relaxed optimization requirements. Mech. Syst. Signal Process. 12 1 (1998) 7-22
6. Yuen K.V., Beck J.L., and Katafygiotis L.S. Unified probabilistic approach for model updating and damage detection. J. Appl. Mech. - Trans. ASME 73 4 (2006) 555-564
7. Doebling S.W., Farrar C.R., and Prime M.B. A summary review of vibration-based damage identification methods. Shock Vibrat. Dig. 30 2 (1998) 91-105
8. Takewaki I., and Nakamura M. Stiffness-damping simultaneous identification under limited observation. J. Engrg. Mech. (ASCE) 131 10 (2005) 1027-1035
9. Beck J.L., and Katafygiotis L.S. Updating models and their uncertainties - I: Bayesian statistical framework. J. Engrg. Mech. (ASCE) 124 (1998) 455-461
10. Papadimitriou C., Beck J.L., and Katafygiotis L.S. Updating robust reliability using structural test data. Probabilist. Engrg. Mech. 16 (2001) 103-113
11. Beck J.L., and Au S.K. Bayesian updating of structural models and reliability using Markov chain Monte Carlo simulation. J. Engrg. Mech. (ASCE) 128 (2002) 380-391
12. Sohn H., and Law K.H. Bayesian probabilistic approach for structural damage detection. Earthquake Engrg. Struct. Dyn. 26 (1997) 1259-1281
13. Fritzen C.P., Jennewein D., and Kiefer T. Damage detection based on model updating methods. Mech. Syst. Signal Process. 12 1 (1998) 163-186
14. Vestroni F., and Capecchi D. Damage detection in beam structures based on frequency measurements. J. Engrg. Mech. (ASCE) 126 7 (2000) 761-768
15. Vanik M.W., Beck J.L., and Au S.K. Bayesian probabilistic approach to structural health monitoring. J. Engrg. Mech. (ASCE) 126 (2000) 738-745
16. Friswell M.I., and Mottershead J.E. Inverse methods in structural health monitoring. Damage Assess. Struct. - Key Engrg. Mater. 204 2 (2001) 201-210
17. Bernal D., and Gunes B. Flexibility based approach for damage characterization: benchmark application. J. Engrg. Mech. (ASCE) 130 1 (2004) 61-70
18. Lam H.F., Katafygiotis L.S., and Mickleborough N.C. Application of a statistical model updating approach on phase I of the IASC-ASCE structural health monitoring benchmark study. J. Engrg. Mech. (ASCE) 130 1 (2004) 34-48
19. Teughels A., and De Roeck G. Damage detection and parameter identification by finite element model updating. Arch. Comput. Methods Engrg. 12 2 (2005) 123-164
20. Yuen K.V., and Beck J.L. Reliability-based robust control for uncertain dynamical systems using feedback of incomplete noisy response measurements. Earthquake Engrg. Struct. Dyn. 32 5 (2003) 751-770
21. Hjelmstad K.D., and Shin S. Crack identification in a cantilever beam from modal response. J. Sound Vibrat. 198 (1996) 527-545
22. Alvin K.F. Finite element model update via Bayesian estimation and minimization of dynamic residuals. AIAA J. 35 (1997) 879-886
23. Bohle K., and Fritzen C.P. Results obtained by minimizing natural frequencies and MAC-value errors of a plate model. Mech. Syst. Signal Process. 17 (2003) 55-64
24. Haralampidis Y., Papadimitriou C., and Pavlidou M. Multi-objective framework for structural model identification. Earthquake Engrg. Struct. Dyn. 34 6 (2005) 665-685
25. Christodoulou K., and Papadimitriou C. Structural identification based on optimally weighted modal residuals. Mech. Syst. Signal Process. 21 (2007) 4-23
26. L.S. Katafygiotis, Treatment of model uncertainties in structural dynamics, Technical Report EERL91-01, California Institute of Technology, Pasadena, CA., 1991.
27. Katafygiotis L.S., and Beck J.L. Updating models and their uncertainties II: Model identifiability. J. Engrg. Mech. (ASCE) 124 4 (1998) 463-467
28. Katafygiotis L.S., Papadimitriou C., and Lam H.F. A probabilistic approach to structural model updating. Int. J. Soil Dyn. Earthquake Engrg. 17 (1998) 495-507
29. Katafygiotis L.S., and Lam H.F. Tangential-projection algorithm for manifold representation in unidentifiable model updating models. Earthquake Engrg. Struct. Dyn. 31 4 (2002) 791-812
30. Teughels A., De Roeck G., and Suykens J.A.K. Global optimization by coupled local minimizers and its application to FE model updating. Comput. Struct. 81 24-25 (2003) 2337-2351
31. Beyer H.G. The Theory of Evolution Strategies (2001), Springer-Verlag, Berlin
32. Nelson R.B. Simplified calculation of eigenvector derivatives. AIAA J. 14 9 (1976) 1201-1205
33. Zitzler E., and Thiele L. Multi-objective evolutionary algorithms: a comparative case study and the strength Pareto approach. IEEE Trans. Evolut. Comput. 3 (1999) 257-271
34. Das I., and Dennis Jr. J.E. Normal-boundary intersection: a new method for generating the Pareto surface in nonlinear multi-criteria optimization problems. SIAM J. Optim. 8 (1998) 631-657
35. K. Christodoulou, Methodology for structural identification and damage detection, Ph.D. Thesis Report SDL-06-01, Department of Mechanical and Industrial Engineering, University of Thessaly, 2006.
36. Ewins D.J. Modal Testing - Theory Practice and Applications. 2nd ed. (2000), Research Studies Press, UK
37. P. Verboven, Frequency-domain system identification for modal analysis, Ph.D. Thesis, Vrije Universiteit Brussel, Belgium, 2002.
38. Au S.K., and Beck J.L. First excursion probability for linear systems by very efficient importance sampling. Probabilist. Engrg. Mech. 16 3 (2001) 193-207
39. Yuen K.V., and Katafygiotis L.S. An efficient simulation method for reliability analysis of linear dynamical systems using simple additive rules of probability. Probabilist. Engrg. Mech. 20 1 (2005) 109-114