Multi-scale system identification,; Hilbert – Huang Transform; Wavelet transform
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 oscillatory components, termed the intrinsic mode functions (IMFs). In this presentation, we describe a combination of methods involving numerical integral transforms and theoretical analysis that cumulate to a new nonparametric method for nonlinear system identification based on multiple slow-fast partitions of the dynamics. This method can find wide applicability to linear and (weakly or strongly) nonlinear systems with various damping and/or stiffness nonlinearities. Moreover, through this method we can systematically examine transient resonance captures in the responses of dynamically interacting nonlinear structures, hence, decomposing and identifying the underlying multimodal nonlinear modal interactions that give rise to complex phenomena.
Disciplines :
Physics Mechanical engineering
Author, co-author :
Kerschen, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Lee, Young-Sup; 3Department of Aerospace Engineering, University of Illinois at Urbana – Champaign, USA
Vakakis, Alexander F.; 1Faculty of Applied Mathematical and Physical Science National Technical University of Athens
McFarland, D. Michael; 3Department of Aerospace Engineering, University of Illinois at Urbana – Champaign, USA
Bergman, Lawrence A.; 3Department of Aerospace Engineering, University of Illinois at Urbana – Champaign, USA
Language :
English
Title :
TOWARDS MULTI-SCALE NONLINEAR (AND LINEAR) SYSTEM IDENTIFICATION IN STRUCTURAL DYNAMICS
Publication date :
2007
Event name :
8th HSTAM International Congress on Mechanics
Event place :
Patras, Greece
Event date :
12 – 14 July, 2007
Audience :
International
Main work title :
8th HSTAM International Congress on Mechanics, Patras, 2007
