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Apr 15, 2003

Constructing Second-Order Models of Mechanical Systems from Identified State Space Realizations. Part II: Numerical Investigations

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Publication: Journal of Engineering Mechanics
Volume 129, Issue 5

Abstract

This paper presents various numerical investigations about obtaining physical parameters of second-order mechanical systems using the algorithms that were investigated in detail in the first part of this study. To discuss in detail the computational aspects and the limitations of each of these algorithms, the first example presented is the identification of the physical parameters of a three-degrees-of-freedom (3-DOF) system. It is shown that when the input/output data used in the identification is noise free, then each of the methodologies can exactly retrieve the second-order coefficient matrices, provided that the sensor/actuator requirements imposed by each of them are satisfied accordingly. To investigate the effects of noisy data on the identified second-order parameters, Monte Carlo simulations are performed on the 3-DOF system at different noise-to-signal ratios, and the results show that the three algorithms perform quite satisfactorily. The analysis is then extended to a 120-DOF, three-dimensional structural system, and in this part of the presentation issues such as modal truncation, insufficient instrumentation, and alternative colocation requirements are discussed. The last section of the paper is devoted to a detailed evaluation of the performance of each of the algorithms discussed in this work.

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References

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Luş, H., Betti, R., Yu, J., and De Angelis, M. (2003a). “Investigation of a system identification methodology in the context of the ASCE benchmark problem.” J. Eng. Mech., in press.
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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 129Issue 5May 2003
Pages: 489 - 501

History

Received: Oct 10, 2001
Accepted: Oct 17, 2002
Published online: Apr 15, 2003
Published in print: May 2003

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Authors

Affiliations

Hilmi Luş
Assistant Professor, Dept. of Civil Engineering, Bogˇazi˙çi˙ Univ., Bebek, 80815 Istanbul, Turkey.
Maurizio De Angelis
Assistant Professor, Dip. Ingegeria Strutturale e Geotecnica, Univ. di Roma “La Sapienza,” Rome, Italy.
Raimondo Betti, M.ASCE
Professor, Dept. of Civil Engineering and Engineering Mechanics, Columbia Univ., New York, NY 10027.
Richard W. Longman
Professor, Dept. of Mechanical Engineering, Columbia Univ., 610 S.W. Mudd Building, Mail Code 4709, 500 West 120th St., New York, NY 10027.

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