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Nonlinear model updating by means of identified nonlinear normal modes
Song, Mingming; Renson, Ludovic; Noël, Jean-Philippe et al.
2015Engineering Mechanics Institute Conference
 

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Keywords :
Nonlinear model updating; Nonlinear system identification; Nonlinear normal modes
Abstract :
[en] Modal parameters are the most common features used for linear model updating. Although the modal analysis theory does not hold for nonlinear dynamic systems, its popularity encouraged researchers to come up with an equivalent version of normal modes for nonlinear systems, i.e., nonlinear normal modes (NNMs). A nonlinear system vibrates in NNMs when all masses have periodic motions of the same period, and at any time, the position of all the masses is uniquely defined by the position of any one of them. This paper investigates the feasibility of nonlinear model updating by minimizing the difference between the model-predicted and measured/identified nonlinear normal modes. A two degree-of-freedom mass-spring system with three linear springs and a cubic nonlinear spring is considered as the case study. The energy-dependent natural frequency and NNM of the first vibration mode of the system are identified at three different levels of energy. The stiffness parameters of the system are estimated by minimizing an objective function which is defined as the discrepancy between model-predicted natural frequency and NNM of the first mode, and their identified counterparts at the three measured energy levels. Performance of the proposed updating approach is evaluated at different levels of noise and different levels of modeling errors (i.e., nonlinear model classes).
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Song, Mingming;  Tufts University > Department of Civil and Environmental Engineering
Renson, Ludovic ;  Université de Liège > R&D Direction : Chercheurs ULiège en mobilité
Noël, Jean-Philippe ;  Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Moaveni, Babak;  Tufts University > Department of Civil and Environmental Engineering
Kerschen, Gaëtan  ;  Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Language :
English
Title :
Nonlinear model updating by means of identified nonlinear normal modes
Publication date :
June 2015
Event name :
Engineering Mechanics Institute Conference
Event place :
Palo Alto (Stanford), United States - California
Event date :
du 16 juin au 19 juin 2015
Audience :
International
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
UE - Union Européenne [BE]
Available on ORBi :
since 12 May 2015

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