Nonlinear normal modes, Part 1: Useful framework for the structural dynamicist

Kerschen, Gaëtan; Peeters, Maxime; Golinval, Jean-Claude; Vakakis, Alexander F.

doi:10.1016/j.ymssp.2008.04.002

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Nonlinear normal modes, Part 1: Useful framework for the structural dynamicist

Kerschen, Gaëtan; Peeters, Maxime; Golinval, Jean-Claude et al.

2009 • In Mechanical Systems and Signal Processing, 23, p. 170-194

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10.1016/j.ymssp.2008.04.002

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Keywords :

Nonlinear dynamics; Nonlinear normalmodes; Modal analysis; Time–frequencyanalysis; Wavelettransform

Abstract :

[en] The conceptofnonlinearnormalmodes(NNMs)isdiscussedinthepresentpaperandits companion,PartII.BecausethereisvirtuallynoapplicationoftheNNMstolarge-scale engineeringstructures,thesepapersareanattempttohighlightseveralaspectsthat mightdrivetheirdevelopmentinthefuture.Specifically,wesupportthat(i)numerical methodsforthecontinuationofperiodicsolutionspavethewayforaneffectiveand practical computationofNNMs,and(ii)time–frequencyanalysisisparticularlysuitable fortheanalysisoftheresultingdynamics.Anotherobjectiveofthepresentpaperisto describe,insimpleterms,andtoillustratethefundamentalpropertiesofNNMs.Thisis achievedtoconvincethestructuraldynamicistnotnecessarilyacquaintedwiththemthat theyareausefulframeworkfortheanalysisofnonlinearvibratingstructures. & 2008ElsevierLtd.Allrightsreserved

Disciplines :

Mathematics
Computer science
Electrical & electronics engineering
Mechanical engineering

Author, co-author :

Kerschen, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Peeters, Maxime ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures

Golinval, Jean-Claude ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures

Vakakis, Alexander F.; UniversityofIllinoisatUrbana-Champaign > Department ofAerospaceEngineering

Language :

English

Title :

Nonlinear normal modes, Part 1: Useful framework for the structural dynamicist

Publication date :

2009

Journal title :

Mechanical Systems and Signal Processing

ISSN :

0888-3270

eISSN :

1096-1216

Publisher :

Academic Press, London, United Kingdom

Volume :

Pages :

170-194

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 24 July 2009

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720

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654

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471

OpenAlex citations

715

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