Generalized eigenvalue decomposition in time domain modal parameter identification
Date of Original Version
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.
Journal of Vibration and Acoustics, Transactions of the ASME
Zhou, Wenliang, and David Chelidze. "Generalized eigenvalue decomposition in time domain modal parameter identification." Journal of Vibration and Acoustics, Transactions of the ASME 130, 1 (2008). doi:10.1115/1.2775509.