Article (Scientific journals)
Nonlinear normal modes, Part 2: Toward a pratical computation using numerical continuation techniques
Peeters, Maxime; Viguié, Régis; Sérandour, Guillaume et al.
2009In Mechanical Systems and Signal Processing, 23, p. 195-216
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Keywords :
Nonlinear dynamics; Nonlinear normalmodes; Modal analysis; Shooting method; Continuation methodsofperiodicmotions
Abstract :
[en] The conceptofnonlinearnormalmodes(NNMs)isdiscussedinthepresentpaperandits companion,PartI.OnereasonofthestilllimiteduseofNNMsinstructuraldynamicsis that theircomputationisoftenregardedasimpractical.However,whenresortingto numericalalgorithms,weshowthattheNNMcomputationispossiblewithlimited implementationeffort,whichpavesthewaytoapracticalmethodfordeterminingthe NNMsofnonlinearmechanicalsystems.Theproposedalgorithmreliesontwomain techniques,namelyashootingprocedureandamethodforthecontinuationofNNM motions. Thealgorithmisdemonstratedusingfourdifferentmechanicalsystems,a weakly andastronglynonlineartwo-degree-of-freedomsystem,asimplifieddiscrete modelofanonlinearbladeddiskandanonlinearcantileverbeamdiscretizedbythefinite elementmethod.
Disciplines :
Mechanical engineering
Mathematics
Computer science
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Peeters, Maxime ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures
Viguié, Régis ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures
Sérandour, Guillaume ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures
Kerschen, Gaëtan  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Golinval, Jean-Claude  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures
Language :
English
Title :
Nonlinear normal modes, Part 2: Toward a pratical computation using numerical continuation techniques
Publication date :
2009
Journal title :
Mechanical Systems and Signal Processing
ISSN :
0888-3270
eISSN :
1096-1216
Publisher :
Academic Press, London, United Kingdom
Volume :
23
Pages :
195-216
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 10 August 2009

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