Summary
A new method of damage detection is introduced. The mathematical formulation of the dynamical system is based on a state-space model. The physical system is measured and described by parameters of the state-space realization, which are estimated by the generalized singular value decomposition. Influence coefficients, evaluated from the parameters of the mathematical model, allow for damage detection. The suitability of the new method is demonstrated by an experimental model.
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References
Golub, G.; van Loan, C.: Matrix computations. Baltimore: Johns Hopkins University Press, 1989
Kailath, T.: Linear systems. New York: Prentice Hall 1980
Kalman, R. E.: Mathematical description of linear dynamical systems. J. Soc. Ind. Appl. Math/A1 (1963) 153–192
Lenzen, A.: Untersuchung von dynamischen Systemen mit der Singulärwertzerlegung-Erfassung von Strukturveränderungen. Institut für Mechanik, Ruhr Universität Bochum, 1994
van Loan, C.: Generalizing the singular value decomposition, SIAM J. Num. Anal.13 (1976) 76–83
Paige, C. C.: Computing the generalized singular value decomposition. SIAM J. Sci. Stat. Comp.7 (1986) 1126–1142
Waller, H.; Schmidt, R.: Schwingungslehre für Ingenieure. Mannheim: Bibliographisches Institut 1989
Zadeh, L. A.; Desoer, C. A.: Linear systems theory. New York: Krieger 1979
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Lenzen, A., Waller, H. Damage detection by system identification. An application of the generalized singular value decomposition. Arch. Appl. Mech. 66, 555–568 (1996). https://doi.org/10.1007/BF00808144
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DOI: https://doi.org/10.1007/BF00808144