Use of the singular value decomposition method to detect ill-conditioning of structural identification problems

Computers and Structures

Volumn 63, Issue 2, 1997, Pages 267-275

  Hasan, W M ^a   Viola, E ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DEGREES OF FREEDOM (MECHANICS); INVERSE PROBLEMS; MATRIX ALGEBRA; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; PROBLEM SOLVING; TIME DOMAIN ANALYSIS;

ILL CONDITIONING; SINGULAR VALUE DECOMPOSITION METHOD; STRUCTURAL IDENTIFICATION PROBLEMS;

STRUCTURAL ANALYSIS;

EID: 0031118686     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(96)00361-6     Document Type: Article

References (12)

1. G. W. Stewart, Introduction to Matrix Comutations. Academic Press, New York (1973).
2. J. E. T. Penny, M. I. Friswell and S. D. Garvey, Automatic choice of measurement locations for dynamic testing. AIAA J., 32, 407-414 (1994).
3. E. Rothwell and B. Drachman, A unified approach to solving ill-conditioning matrix problems. Int. J. Numer. Methods Engng, 28, 609-620 (1989).
4. S. N. Patnaik, J. D. Guptill and L. Berke, Singularity in structural optimization. Int. J. Numer. Methods Engng, 36, 931-944 (1993).
5. V. C. Klema and A. J. Laub, The singular value decomposition: its computation and some applications. IEEE Trans. Automatic Control, AC-25, 164-176 (1980).
6. W. M. To, Application of singular value decomposition to direct update method. AAIA J., 32, 2124-2126 (1994).
7. J. E. Mottershead and C. D. Foster, On the treatment of ill-conditioning in spatial parameter estimation from measured vibration data. Mech. Systems Signal Processing, 5, 139-154 (1991).
8. V. Comincioli, Analisi Numerica- Metodi, Modelli, Applicazioni. McGraw-Hill libri Italia srl, Milano (1990).
9. B. Noble, Applied Linear Algebra. Prentice Hall, Englewood Cliffs NJ (1969).
10. G. Golub and C. Van Loan, Matrix Computations. Johns Hopkins University Press, Baltimore, MA (1985).
11. S. F. Masri, R. K. Miller, A. F. Saud and T. K. Kaughey, Identification of nonlinear vibrating structures: Parts I and II. J. Appl. Mech., 54, 918-929 (1987).
12. S. R. Ibrahim and E. C. Mikulcik, The experimental determination of vibration parameters from time responses. Shock Vibr. Bull., 46, 187-196 (1976).