Title

Generalized eigenvalue decomposition in time domain modal parameter identification

Document Type

Article

Date of Original Version

2-1-2008

Abstract

This paper is intended to point 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 revieved 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 ASME.

Publication Title

Journal of Vibration and Acoustics, Transactions of the ASME

Volume

130

Issue

1

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