Structural identification based on optimally weighted modal residuals

Mechanical Systems and Signal Processing

Volumn 21, Issue 1, 2007, Pages 4-23

  Christodoulou, Konstantinos ^a   Papadimitriou, Costas ^a  

^a UNIVERSITY OF THESSALY   (Greece)

Author keywords

Bayesian analysis; Identification; Least squares estimation; Pareto optima; Structural dynamics

Indexed keywords

BAYESIAN ANALYSIS; LEAST-SQUARES ESTIMATION; MODAL RESIDUALS; PARETO OPTIMA; STRUCTURAL DYNAMICS; STRUCTURAL PARAMETERS;

LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; MEASUREMENT ERRORS; MEASUREMENT THEORY; PARAMETER ESTIMATION; PROBLEM SOLVING; STRUCTURAL OPTIMIZATION;

STRUCTURAL ANALYSIS;

EID: 33749530873     PISSN: 08883270     EISSN: 10961216     Source Type: Journal    
DOI: 10.1016/j.ymssp.2006.05.011     Document Type: Article

References (34)

1. Mottershead J.E., and Friswell M.I. Model updating in structural dynamics: a survey. Journal of Sound and Vibration 167 (1993) 347-375
2. S.W. Doebling, C.R. Farrar, M.B. Prime, D.W. Shevitz, Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: a literature review, Los Alamos National Laboratory Report No. LA-13070-MS, 1996.
3. Doebling S.W., Farrar C.R., and Prime M.B. A summary review of vibration-based damage identification methods. The Shock and Vibration Digest 30 2 (1998) 91-105
4. Link M. Updating analytical models by using local and global parameters and relaxed optimization requirements. Mechanical Systems and Signal Processing 12 1 (1998) 7-22
5. Vanik M.W., Beck J.L., and Au S.K. Bayesian probabilistic approach to structural health monitoring. Journal of Engineering Mechanics (ASCE) 126 (2000) 738-745
6. Mares C., Friswell M.I., and Mottershead J.F. Model updating using robust estimation. Mechanical Systems and Signal Processing 16 1 (2002) 169-183
7. Bohle K., and Fritzen C.P. Results obtained by minimizing natural frequencies and MAC-value errors of a plate model. Mechanical Systems and Signal Processing 17 (2003) 55-64
8. Hjelmstad K.D., and Shin S. Crack identification in a cantilever beam from modal response. Journal of Sound and Vibration 198 (1996) 527-545
9. Friswell M.I., and Mottershead J.E. Finite Element Model Updating in Structural Dynamics (1995), Kluwer Academic Publishers, Dordrecht
10. Farhat C., and Hemez P.M. Updating finite element dynamics models using an element-by-element sensitivity methodology. AIAA Journal 131 (1993) 1702-1711
11. Alvin K.F. Finite element model update via Bayesian estimation and minimization of dynamic residuals. AIAA Journal 35 (1997) 879-886
12. Ewins D.J. Modal Testing-Theory Practice and Applications. second ed (2000), Research Studies Press, UK
13. Mc Connnel K.G. Vibration Testing: Theory and Practice (1995), Wiley, New York
14. Peeters B., and De Roeck G. Reference-based stochastic subspace identification for output-only modal analysis. Mechanical Systems and Signal Processing 13 6 (1999) 855-878
15. R. Brincker, P. Andersen, L. Zhang, Modal identification from ambient vibration using frequency domain decomposition, in: Proceedings of the 18th International Modal Analysis Conference (IMAC), San Antonio, Texas, 2000, pp. 625-630.
16. J.L. Beck, B.S. May, D.C. Polidori, Determination of modal parameters from ambient vibration data for structural health monitoring, in: Proceedings of the First World Conference on Structural Control, Los Angeles, USA, 1994, pp. 1395-1402.
17. Katafygiotis L.S., and Yuen K.V. Bayesian spectral density approach for modal updating using ambient data. Earthquake Engineering and Structural Dynamics 30 (2001) 1103-1123
18. Papadimitriou C., Beck J.L., and Katafygiotis L.S. Updating robust reliability using structural test data. Probabilistic Engineering Mechanics 16 (2001) 103-113
19. Beck J.L., and Au S.K. Bayesian updating of structural models and reliability using Markov chain Monte Carlo simulation. Journal of Engineering Mechanics (ASCE) 128 (2002) 380-391
20. Y. Haralampidis, M. Pavlidou, C. Papadimitriou, Multi-objective parameter identification in structural dynamics, in: Proceedings of the 19th Biennial ASME Conference on Mechanical Vibration and Noise, Chicago, IL, USA, 2003, Paper No. DETC2003/VIB-48493.
21. Haralampidis Y., Papadimitriou C., and Pavlidou M. Multi-objective framework for structural model identification. Earthquake Engineering and Structural Dynamics 34 6 (2005) 665-685
22. Beck J.L., and Katafygiotis L.S. Updating models and their uncertainties-I: Bayesian statistical framework. Journal of Engineering Mechanics (ASCE) 124 (1998) 455-461
23. Beck J.L. Statistical system identification of structures. Proceedings of the Fifth International Conference on Structural Safety and Reliability (1989), ASCE, San Francisco 1395-1402
24. L.S. Katafygiotis, Treatment of model uncertainties in structural dynamics, Technical Report EERL91-01, California Institute of Technology, Pasadena, CA, 1991.
25. Katafygiotis L.S., Papadimitriou C., and Lam H.F. A probabilistic approach to structural model updating. International Journal of Soil Dynamics and Earthquake Engineering 17 (1998) 495-507
26. Sohn H., and Law K.H. Bayesian probabilistic approach for structural damage detection. Earthquake Engineering and Structural Dynamics 26 (1997) 1259-1281
27. Papadimitriou C., and Katafygiotis L.S. Bayesian modeling and updating. In: Nikolaidis E., Ghiocel D.M., and Singhal S. (Eds). Engineering Design Reliability Handbook (2004), CRC Press, New York
28. Zitzler E., and Thiele L. Multi-objective evolutionary algorithms: a comparative case study and the strength Pareto approach. IEEE Transactions on Evolutionary Computation 3 (1999) 257-271
29. Bleistein N., and Handelsman R. Asymptotic Expansions for Integrals (1986), Dover, New York, USA
30. Papadimitriou C., Beck J.L., and Katafygiotis L.S. Asymptotic expansions for reliability and moments of uncertain dynamic systems. Journal of Engineering Mechanics (ASCE) 123 12 (1997) 1219-1229
31. Guillaume P., Pintelon R., and Schoukens J. Robust parametric transfer function estimation using complex logarithmic frequency response data. IEEE Transactions on Automatic Control 40 7 (1995) 1180-1190
32. Pintelon R., Guillaume P., Rolain Y., Schoukens J., and Van hamme H. Parametric identification of transfer functions in the frequency domain-a survey. IEEE Transactions on Automatic Control 39 11 (1994) 2245-2260
33. Sidman M.D., DeAngelis F.E., and Verghese G.C. Parametric system identification on logarithmic frequency response data. IEEE Transactions on Automatic Control 36 9 (1991) 1065-1070
34. Beyer H.G. The Theory of Evolution Strategies (2001), Springer, Berlin