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Subspace and nonlinear-normal-modes-based identification of a beam with softening-hardening behaviour
Grappasonni, Chiara; Noël, Jean-Philippe; Kerschen, Gaëtan
2014In Proceedings of the International Modal Analysis Conference (IMAC) XXXII
 

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Keywords :
nonlinear system identification; subspace identification; experimental test; softening hardening behaviour; nonlinear normal modes
Abstract :
[en] The capability to reproduce and predict with high accuracy the behaviour of a real system is a fundamental task of numerical models. In nonlinear structural dynamics, additional parameters compared to classical linear modelling, which include the nonlinear coefficient and the mathematical form of the nonlinearity, need to be identified to bring the numerical predictions in good agreement with the experimental observations. In this context, the present paper presents a method for the identification of an experimental cantilever beam with a geometrically nonlinear thin beam clamped with a prestress, hence giving rise to a softening-hardening nonlinearity. A novel nonlinear subspace identification method formulated in the frequency domain is first exploited to estimate the nonlinear parameters of the real structure together with the underlying linear system directly from the experimental tests. Then a finite element model, built from the estimated parameters, is used to compute the backbone of the first nonlinear normal mode motion. These numerical evaluations are compared to a nonlinear normal modes-based identification of the structure using system responses to stepped sine excitation at different forcing levels.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Grappasonni, Chiara ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Noël, Jean-Philippe ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Kerschen, Gaëtan  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Language :
English
Title :
Subspace and nonlinear-normal-modes-based identification of a beam with softening-hardening behaviour
Publication date :
February 2014
Event name :
XXXII IMAC Conference & Exposition On Structural Dynamics
Event organizer :
Society for Experimental Mechanics
Event place :
Orlando, United States - Florida
Event date :
from 03-02-2014 to 06-02-2014
Audience :
International
Main work title :
Proceedings of the International Modal Analysis Conference (IMAC) XXXII
Name of the research project :
ERC Starting Grant NoVib 307265
Funders :
UE - Union Européenne [BE]
FRIA - Fonds pour la Formation à la Recherche dans l'Industrie et dans l'Agriculture [BE]
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