Research Papers

Generalized Eigenvalue Decomposition in Time Domain Modal Parameter Identification

[+] Author and Article Information
Wenliang Zhou1

 Lang Mekra North America, LLC, 101 Tillessen Bloulevard, Ridgeway, SC 29130zhouwl@gmail.com

David Chelidze

Department of Mechanical Engineering & Applied Mechanics,  University of Rhode Island, Kingston, RI 02881chelidze@egr.uri.edu


Corresponding author.

J. Vib. Acoust 130(1), 011001 (Nov 12, 2007) (6 pages) doi:10.1115/1.2775509 History: Received January 22, 2007; Revised July 08, 2007; Published November 12, 2007

This paper is intended to point out the relationship among current time domain modal analysis methods by employing generalized eigenvalue decomposition. Ibrahim time domain (ITD), least-squares complex exponential (LSCE) and eigensystem realization algorithm (ERA) methods are reviewed and chosen to do the comparison. Reformulation to their original forms shows these three methods can all be attributed to a generalized eigenvalue problem with different matrix pairs. With this general format, we can see that single-input multioutput (SIMO) methods can easily be extended to multi-input multioutput (MIMO) cases by taking advantage of a generalized Hankel matrix or a generalized Toeplitz matrix.

Copyright © 2008 by American Society of Mechanical Engineers
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