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Toward a fundamental understanding of the HHT in nonlinear structural dynamics
Kerschen, Gaëtan; Vakakis, Alexander F.; Lee, Y. S. et al.
2006In 24th International Modal Analysis Conference, Saint-Louis, 2006
 

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Keywords :
Hilbert-Huang transform; elemental components; empirical mode decomposition; Nonlinear structural dynamics; multi-degree-of-freedom
Abstract :
[en] 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.
Disciplines :
Physics
Mathematics
Aerospace & aeronautics engineering
Mechanical engineering
Author, co-author :
Kerschen, Gaëtan  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Vakakis, Alexander F.;  National Technical University of Athens, Greece > Division of Mechanics
Lee, Y. S.;  University of Illinois at Urbana-Champaign > Department of Aerospace Engineering
McFarland, D. Michael;  University of Illinois at Urbana-Champaign > Department of Aerospace Engineering
Bergman, Lawrence A.;  University of Illinois at Urbana-Champaign > Department of Aerospace Engineering
Language :
English
Title :
Toward a fundamental understanding of the HHT in nonlinear structural dynamics
Publication date :
2006
Event name :
24th International Modal Analysis Conference
Event place :
Saint-Louis, United States
Audience :
International
Main work title :
24th International Modal Analysis Conference, Saint-Louis, 2006
Available on ORBi :
since 17 September 2009

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