Title
Frequency-domain generalized total least-squares identification for modal analysis
Author
Faculty/Department
Faculty of Applied Engineering Sciences
Publication type
article
Publication
London ,
Subject
Engineering sciences. Technology
Source (journal)
Journal of sound and vibration / University of Southampton. Institute of Sound and Vibration Research. - London
Volume/pages
278(2004) :1-2 , p. 21-38
ISSN
0022-460X
ISI
000224594200002
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Abstract
This contribution focuses on the area of modal analysis and studies the applicability of total least-squares (TLS) algorithms for the estimation of modal parameters in the frequency-domain from input-output Fourier data. These algorithms can be preferable to classical frequency response function based curve-fitting methods. This is certainly the case when periodic excitation is applied and an errors-in-variables noise model can be determined. The proposed generalized total least-squares (GTLS) algorithm provides an accurate modal parameter estimation by the integration of this noise model in the parametric identification process. Modal-based design and comfort improvement, damage assessment and structural health monitoring, and finite element model updating are important applications that strongly rely on a high accuracy of the modal model. In this paper it is shown how frequency-domain TLS and GTLS estimators can be numerically optimized to handle large amounts of modal data. In order to use an errors-in-variables noise model, a linear approximation is necessary in order to obtain a fast implementation of the GTLS algorithm. The validity of this approximation is a function of the signal-to-noise ratio of the input Fourier data and is evaluated by means of Monte Carlo simulations and experimental data. (C) 2003 Elsevier Ltd. All rights reserved.
E-info
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