Paper published in a book (Scientific congresses and symposiums)
On the exploitation of chaos to build reduced-order models
Kerschen, Gaëtan; Feeny, B. F.; Golinval, Jean-Claude
2002In International Conference on Noise and Vibration Engineering, Leuven, 2002
 

Files


Full Text
C10_2002_Leuven_ISMAa.pdf
Author preprint (551.84 kB)
Download

All documents in ORBi are protected by a user license.

Send to



Details



Keywords :
model reduction of non-linear systems; proper orthogonal decomposition; principal component analysis; eigenmodes; low-dimensional model; orthogonal transformation
Abstract :
[en] The present study focuses on the model reduction of non-linear systems. The proper orthogonal decomposition is exploited to compute eigenmodes from time series of displacement. These eigenmodes, called the proper orthogonal modes, are optimal with respect to energy content and are used to build a low-dimensional model of the non-linear system. For this purpose, the proper orthogonal modes obtained from a chaotic orbit are considered. Indeed, such an orbit is assumed to cover the phase space more uniformly. It is shown that the modes for this particular behaviour are more representative of the system dynamics than any other set of modes extracted from a non-chaotic response. This is applied to a buckled beam with two permanent magnets and the reduced-order model is validated using both qualitative and quantitative comparisons.
Disciplines :
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
Feeny, B. F.;  Michigan State University > Department of Mechanical Engineering, > Engineering Building,
Golinval, Jean-Claude  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures
Language :
English
Title :
On the exploitation of chaos to build reduced-order models
Publication date :
September 2002
Event name :
International Conference on noise and vibration Engineering
Event organizer :
ISMA27
Event place :
Leuven, Belgium
Audience :
International
Main work title :
International Conference on Noise and Vibration Engineering, Leuven, 2002
Available on ORBi :
since 12 August 2009

Statistics


Number of views
46 (1 by ULiège)
Number of downloads
233 (1 by ULiège)

Scopus citations®
 
0
Scopus citations®
without self-citations
0

Bibliography


Similar publications



Contact ORBi