Share Email Print
cover

Proceedings Paper

The slow-flow method of identification in nonlinear structural dynamics
Author(s): G. Kerschen; A. F. Vakakis; Y. S. Lee; D. M. McFarland; L. A. Bergman
Format Member Price Non-Member Price
PDF $17.00 $21.00
cover GOOD NEWS! Your organization subscribes to the SPIE Digital Library. You may be able to download this paper for free. Check Access

Paper Abstract

The Hilbert-Huang transform (HHT) has been shown to be effective for characterizing a wide range of nonstationary signals in terms of elemental components through what has been called the empirical mode decomposition. The HHT has been utilized extensively despite the absence of a serious analytical foundation, as it provides a concise basis for the analysis of strongly nonlinear systems. In this paper, we attempt to provide the missing link, showing the relationship between the EMD and the slow-flow equations of the system. The slow-flow model is established by performing a partition between slow and fast dynamics using the complexification-averaging technique, and a dynamical system described by slowly-varying amplitudes and phases is obtained. These variables can also be extracted directly from the experimental measurements using the Hilbert transform coupled with the EMD. The comparison between the experimental and analytical results forms the basis of a nonlinear system identification method, termed the slow-flow model identification method, which is demonstrated using numerical examples.

Paper Details

Date Published: 10 April 2007
PDF: 10 pages
Proc. SPIE 6529, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2007, 65291M (10 April 2007); doi: 10.1117/12.716823
Show Author Affiliations
G. Kerschen, Univ. of Liege (Belgium)
A. F. Vakakis, National Technical Univ. of Athens (Greece)
Y. S. Lee, Univ. of Illinois at Urbana-Champaign (United States)
D. M. McFarland, Univ. of Illinois at Urbana-Champaign (United States)
L. A. Bergman, Univ. of Illinois at Urbana-Champaign (United States)


Published in SPIE Proceedings Vol. 6529:
Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2007
Masayoshi Tomizuka; Chung-Bang Yun; Victor Giurgiutiu, Editor(s)

© SPIE. Terms of Use
Back to Top