Operational modal analysis by updating autoregressive model

Mechanical Systems and Signal Processing

Volumn 25, Issue 3, 2011, Pages 1028-1044

  Vu, V H ^a   Thomas, M ^a   Lakis, A A ^b   Marcouiller, L ^c  

^a ÉCOLE DE TECHNOLOGIE SUPÉRIEURE   (Canada)

^b Department of Mechanical Engineering   (Canada)

^c HYDRO QUÉBEC   (Canada)

Author keywords

Confidence intervals; Modal identification; Model orders selection; Multivariate autoregressive model; Parameters estimation; QR factorization updating

Indexed keywords

CONFIDENCE INTERVAL; MODAL IDENTIFICATION; MODEL ORDERS SELECTION; MULTIVARIATE-AUTOREGRESSIVE MODEL; PARAMETERS ESTIMATION; QR FACTORIZATIONS;

FACTORIZATION; FINITE ELEMENT METHOD; LEAST SQUARES APPROXIMATIONS; PARAMETER ESTIMATION; VIBRATION ANALYSIS;

MODAL ANALYSIS;

EID: 79951578358     PISSN: 08883270     EISSN: 10961216     Source Type: Journal    
DOI: 10.1016/j.ymssp.2010.08.014     Document Type: Article

References (37)

1. N.M.M. Maia, J.M.M. Silva, Modal analysis identification techniques, Royal Society, No. 359-2001, 2001, pp. 2940. (Pubitemid 33222905)
2. M. Thomas, K. Abassi, A.A. Lakis, L. Marcouiller, Operational modal analysis of a structure subjected to a turbulent flow, in: Proceedings of the 23rd Seminar on Machinery Vibration, Canadian Machinery Vibration Association, Edmonton, AB, October 2005, 10 pp.
3. N.-J. Jacobsen, P. Andersen, R. Brincker, Using enhanced frequency domain decomposition as a robust technique to handle deterministic excitation in operational modal analysis, in: Proceedings of the International Operational Modal Analysis Conference (IOMAC 2007), Copenhagen, Denmark, vol. 4, 2007, pp. 193200.
4. L. Hermans, and H. Van der Auweraer Modal testing and analysis of structures under operational conditions: industrial applications Mechanical Systems and Signal Processing 13 2 1999 193 216
5. V.H. Vu, M. Thomas, A.A. Lakis, Operational modal analysis in time domain, in: Proceedings of the 24th Seminar on Machinery Vibration, Canadian Machinery Vibration Association, ISBN:2-921145-61-8, Montral, 2006, pp. 330343.
6. V.H. Vu, M. Thomas, A.A. Lakis, L. Marcouiller, A time domain method for modal identification of vibratory signal, in: Proceedings of the First International Conference on Industrial Risk Engineering CIRI, Montreal, ISBN:978-2-921145-65-7, December 2007, pp. 202218.
7. S.R. Ibrahim, and E.C. Mikulcik Method for the direct identification of vibration parameters from the free responses Shock and Vibration Bulletin 47 1977 183 198
8. D.L. Brown, R.J. Allemang, R.D. Zimmerman, M. Mergeay, Parameter estimation techniques for modal analysis, SAE Paper No. 790221, SAE Transactions, vol. 88, 1979, pp. 828846.
9. B. Peeters, System identification and damage detection in civil engineering, Ph.D. Thesis, K.U Leuven, Belgium, 2000, 256 pp.
10. P. Mohanty, and D.J. Rixen Operational modal analysis in the presence of harmonic excitation Journal of Sound and Vibration 270 12 2004 93 109 (6 February)
11. P. Mohanty, and D.J. Rixen Modified SSTD method to account for harmonic excitations during operational modal analysis Mechanism and Machine Theory 39 12 2004 1247 1255 (December)
12. P. Mohanty, and D.J. Rixen A modified Ibrahim time domain algorithm for operational modal analysis including harmonic excitation Journal of Sound and Vibration 275 12 2004 375 390 (6 August)
13. M. Gagnon, S.-A. Tahan, A. Coutu, M. Thomas, Operational modal analysis with harmonic excitations: application to a wind turbine, in: Proceedings of the 24th Seminar on Machinery Vibration, Canadian Machinery Vibration Association, ISBN:2-921145-61-8, Montral, 2006, pp. 320329.
14. S.M. Pandit Modal and Spectrum Analysis: Data Dependent Systems in State Space 1991 J. Wiley and Sons New York, NY 415 pp
15. F. Gonthier, M. Smail, and P.E. Gauthier A time domain method for identification of dynamic parameters of structures Mechanical Systems and Signal Processing 7 1 1993 45 56
16. P. Andersen, Identification of civil engineering structures using vector ARMA models, Ph.D. Thesis, Aalborg University, 1997, 244 pp.
17. M. Smail, M. Thomas, and A.A. Lakis ARMA models for modal analysis: effect of model order and sampling frequency Mechanical Systems and Signal Processing 13 6 1999 925 941 (Pubitemid 30515446)
18. V.H. Vu, M. Thomas, A.A. Lakis, L. Marcouiller, Identification of modal parameters by experimental operational modal analysis for the assessment of bridge rehabilitation, in: Proceedings of the International Operational Modal Analysis Conference (IOMAC 2007), Copenhagen, Denmark, April 2007, pp. 133142.
19. L. Ljung System IdentificationTheory for the User 1999 Prentice-Hall Upper Saddle River, NJ 609 pp
20. U. Kadakal, and O. Yuzugullu A comparative study on the identification methods for the autoregressive modelling from the ambient vibration records Soil Dynamics and Earthquake Engineering 15 1 1996 45 49
21. X. He, and G. De Roeck System identification of mechanical structures by a high-order multivariate autoregressive model Computers and Structures 64 14 1997 341 351 (Pubitemid 127413436)
22. C.S. Huang Structural identification from ambient vibration measurement using the multivariate AR model Journal of Sound and Vibration 241 3 2001 337 359 (Pubitemid 32425148)
23. C.S. Li, W.J. Ko, H.T. Lin, and R.J. Shyu Vector autoregressive modal analysis with application to ship structures Journal of Sound and Vibration 167 1 1993 1 15
24. A. Bjorck Numerical Methods for Least Squares Problems 1996 Society for Industrial and Applied Mathematics Philadelphia, PA 408 pp
25. G. Golub, and C. Van Loan Matrix Computations third ed. 1996 The Johns Hopkins University Press London 694 pp
26. B.A. Cipra The best of the 20th century: editors name top 10 algorithms SIAM News 33 4 2000 1 2
27. R.J. Allemang, D.L. Brown, A correlation coefficient for modal vector analysis, in: Proceedings of the First International Modal Analysis Conference, Orlando, November 1982, pp. 110116.
28. B.R. Mace, K. Worden, and G. Manson Uncertainty in structural dynamics Journal of Sound and Vibration 288 3 2005 423 429 (Pubitemid 41360479)
29. R. Pintelon, P. Guillaume, and J. Schoukens Uncertainty calculation in (operational) modal analysis Mechanical Systems and Signal Processing 21 6 2007 2359 2373 (Pubitemid 46829747)
30. A. Neumaier, and T. Schneider Estimation of parameters and eigenmodes of multivariate autoregressive models ACM Transactions on Mathematical Software 27 2001 27 57 (Pubitemid 33609114)
31. H. Lutkepohl Introduction to Multiple Time Series Analysis second ed. 1993 Springer-Verlag Berlin 545 pp
32. J. Paulsen, and D. Tjostheim On the estimation of residual variance and order in autoregressive time series Journal of the Royal Statistical Society B 47 1985 216 228
33. R.L. Kashyap Inconsistency of the AIC rule for estimating the order of autoregressive models IEEE Transactions on Automatic Control AC-25 1980 996 998 (Pubitemid 11450386)
34. E.J. Hannan The estimation of the order of an ARMA process Annals of Statistics 8 5 1980 1071 1081
35. G. Liang, and D.M. Wilkes ARMA model order estimation based on the eigenvalues of covariance matrix Transactions on Signal Processing 41 10 1993 3003 3009
36. M. Smail, M. Thomas, and A.A. Lakis Assessment of optimal ARMA model orders for modal analysis Mechanical Systems and Signal Processing 13 5 1999 803 819 (Pubitemid 30507803)
37. V.H. Vu, M. Thomas, A.A. Lakis, L. Marcouiller, Multi-autoregressive model for structural output only modal analysis, in: Proceedings of the 25th Seminar on Machinery Vibration, Canadian Machinery Vibration Association, St. John, Canada, October 2007, pp. 41.141.20.