Accuracy of multiparameter eigenvalues used for dynamic model updating with measured natural frequencies only

Mechanical Systems and Signal Processing

Volumn 20, Issue 1, 2006, Pages 65-77

  Cottin, N ^a   Reetz, J ^a  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

Model updating; Multiparameter eigenvalues; System identification

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; IDENTIFICATION (CONTROL SYSTEMS); MATHEMATICAL MODELS; NATURAL FREQUENCIES; PARAMETER ESTIMATION;

FINITE ELEMENT MODELS; LINEAR ELASTOMECHANICAL SYSTEMS; MODEL UPDATING; MULTIPARAMETER EIGENVALUES;

LINEAR SYSTEMS;

EID: 27644554738     PISSN: 08883270     EISSN: 10961216     Source Type: Journal    
DOI: 10.1016/j.ymssp.2004.10.005     Document Type: Article

References (12)

1. H.G. Natke Problems of model updating procedures a perspective resumption Mechanical Systems and Signal Processing 12 1 1998 65 74
2. P. O'Callahan, P. Avitable, R. Riemer, System equivalent reduction expansion process (SEREP), Proceedings of the Seventh International Modal Analysis Conference (IMAC), 1989, pp. 29-37.
3. D.C. Kammer Test-analysis-model development using an exact modal reduction The International Journal of Analytical and Experimental - Modal Analysis 2 1987 174 179
4. F.V. Atkinson Multiparameter Eigenvalue Problems I - Matrices and Compact Operators 1972 Academic Press New York, London
5. N. Cottin Dynamic model updating - a multiparameter eigenvalue problem Mechanical Systems and Signal Processing 15 4 2001 649 665
6. D.C. Sorensen Implicitly restarted Arnoldi/Lanczos methods for large scale eigenvalue calculations D.E. Keyes A. Sameh V. Venkatakrishnan Proceedings of the ICASE/LaRC Workshop on Parallel Numerical Algorithms, May 23-25, 1994 1995 Kluwer Dordrecht
7. C.R. Rao, and S.K. Mitra Generalized Inverse of Matrices and its Applications 1971 Wiley New York, London, Sydney, Toronto
8. R. Brincker, L. Zhang, P. Anderson, Modal identification from ambient responses using frequency domain decomposition, Proceedings of the 18th International Modal Analysis Conference (IMAC), 2000, pp. 625-630.
9. H. Doll, Eigenfrequencies and normal modes of the Norderelb bridge near Hamburg: numerical and measuring investigations, Proceedings of the 12th International Modal Analysis Conference (IMAC), 1994, pp. 449-455.
10. E. Luz Zur experimentellen Modalanalyse von Bauwerken (Experimental modal analysis of large-scale structures) Materialprüfung Band 28 10 1986 301 306
11. I. Elishakoff Probability Methods in the Theory of Structures 1983 Wiley New York, Chichester, Brisbane, Toronto, Singapore
12. P. Lancaster Lambda-matrices and Vibrating Systems 1966 Pergamon Press Inc. Oxford, London, Edinburgh, New York, Toronto, Paris, Braunschweig