Uncertainty bounds on modal parameters obtained from stochastic subspace identification

Mechanical Systems and Signal Processing

Volumn 22, Issue 4, 2008, Pages 948-969

  Reynders, Edwin ^a   Pintelon, Rik ^b   De Roeck, Guido ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

Author keywords

Civil engineering structures; Covariance analysis; Mechanical systems; Operational modal analysis; Subspace methods; System identification; Uncertainty bounds

Indexed keywords

COMPUTER SIMULATION; ERROR ANALYSIS; PARAMETER ESTIMATION; STABILIZATION; STOCHASTIC CONTROL SYSTEMS; UNCERTAINTY ANALYSIS;

CIVIL ENGINEERING STRUCTURES; OPERATIONAL MODAL ANALYSIS; SUBSPACE METHODS; UNCERTAINTY BOUNDS; VARIANCE ERRORS;

MODAL ANALYSIS;

EID: 39649103373     PISSN: 08883270     EISSN: 10961216     Source Type: Journal    
DOI: 10.1016/j.ymssp.2007.10.009     Document Type: Article

References (18)

1. B. Cauberghe, Applied frequency-domain system identification in the field of experimental and operational modal analysis, Ph.D. Thesis, Vrije Universiteit Brussel, 2004.
2. E. Reynders, G. De Roeck, Reference-based combined deterministic-stochastic subspace identification for experimental and operational modal analysis, Mechanical Systems and Signal Processing, 2007, in press, doi:10.1016/j.ymssp.2007.09.004.
3. 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
4. B. Peeters, System identification and damage detection in civil engineering, Ph.D. Thesis, Katholieke Universiteit Leuven, 2000.
5. Bathe K.-J. Finite Element Procedures. second ed. (1996), Prentice-Hall, Englewood Cliffs, NJ
6. Zienkiewicz O.C., Taylor R.L., and Zhu J.Z. The Finite Element Method. sixth ed. (2005), Butterworth-Heinemann, Burlington, MA
7. Juang J.-N. Applied System Identification (1994), Prentice-Hall, Upper Saddle River, NJ
8. Aoki M. State Space Modeling of Time Series (1987), Springer, Berlin
9. Arun K.S., and Kung S.Y. Balanced approximation of stochastic systems. SIAM Journal on Matrix Analysis and Applications 11 (1990) 42-68
10. S.Y. Kung, A new identification and model reduction algorithm via singular value decomposition, in: Proceedings of the 12th Asilomar Conference on Circuits, Systems and Computers, Pacific Grove, CA, 1978, pp. 705-714.
11. Ben-Israel A., and Greville T. Generalized Inverses (1974), Wiley, New York
12. Ewins D. Modal Testing. second ed. (2000), Research Studies Press, Baldock
13. Przemieniecki J. Theory of Matrix Structural Analysis. second ed. (1985), Dover Publications, New York
14. Pintelon R., Guillaume P., and Schoukens J. Uncertainty calculation in (operational) modal analysis. Mechanical Systems and Signal Processing 21 6 (2007) 2359-2373
15. Brewer J.W. Kronecker products and matrix calculus in system theory. IEEE Transactions on Circuits and Systems 25 (1978) 772-781
16. Golub G., and Van Loan C. Matrix Computations. third ed. (1996), John Hopkins University Press, Baltimore
17. Pintelon R., and Schoukens J. System Identification (2001), IEEE Press, New York
18. Dooms D., Degrande G., De Roeck G., and Reynders E. Finite element modelling of a silo based on experimental modal analysis. Engineering Structures 28 4 (2006) 532-542