MODAL PARAMETER ESTIMATION: AN APPROACH USING CUMULANTS

A cumulant-based approach for the estimation of eigenfrequencies and damping coefficients of a vibrating system excited by a random force is presented. Cumulants of sensors output of the system are used with a state-space representation to provide a method for modal parameter estimation. This method...

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Bibliographic Details
Published in:Mechanical systems and signal processing Vol. 17; no. 2; pp. 433 - 442
Main Authors: JOSEPH, LARDIES, NOUREDDINE, LARBI
Format: Journal Article
Language:English
Published: Elsevier Ltd 01-03-2003
Elsevier
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Summary:A cumulant-based approach for the estimation of eigenfrequencies and damping coefficients of a vibrating system excited by a random force is presented. Cumulants of sensors output of the system are used with a state-space representation to provide a method for modal parameter estimation. This method uses properties of a shifted Hankel matrix formed with cumulants to estimate the transition matrix of the state-space model. The transition matrix is related to modal parameters. A simulation example is included to demonstrate the effectiveness of the use of cumulants when the signals are corrupted by a Gaussian noise.
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ISSN:0888-3270
1096-1216
DOI:10.1006/mssp.2001.1426