Nonlinear normal modes, Part 2: Toward a pratical computation using numerical continuation techniques

Peeters, Maxime; Viguié, Régis; Sérandour, Guillaume; Kerschen, Gaëtan; Golinval, Jean-Claude

doi:10.1016/j.ymssp.2008.04.003

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Nonlinear normal modes, Part 2: Toward a pratical computation using numerical continuation techniques

Peeters, Maxime; Viguié, Régis; Sérandour, Guillaume et al.

2009 • In Mechanical Systems and Signal Processing, 23, p. 195-216

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https://hdl.handle.net/2268/18253

DOI
10.1016/j.ymssp.2008.04.003

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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 :

Pages :

195-216

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 10 August 2009

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489

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427

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334

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483

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