Nonlinear normal modes; Invariant manifolds; Nonconservative systems; Modal analysis; Finite element method
Résumé :
[en] This paper addresses the numerical computation of nonlinear normal modes defined as two-dimensional invariant manifolds in phase space. A novel finite-element-based algorithm, combining the streamline upwind Petrov-Galerkin method with mesh moving and domain prediction-correction techniques, is proposed to solve the manifold-governing partial differential equations. It is first validated using conservative examples through the comparison with a reference solution given by numerical continuation. The algorithm is then demonstrated on nonconservative examples.
Disciplines :
Ingénierie aérospatiale
Auteur, co-auteur :
Renson, Ludovic ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Deliège, Geoffrey ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire
Kerschen, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Langue du document :
Anglais
Titre :
An effective finite-element-based method for the computation of nonlinear normal modes of nonconservative systems
Date de publication/diffusion :
2014
Titre du périodique :
Meccanica
ISSN :
0025-6455
eISSN :
1572-9648
Maison d'édition :
Kluwer Academic Publishers, Pays-Bas
Titre particulier du numéro :
Nonlinear Dynamics and Control of Composites for Smart Engineering Design
Volume/Tome :
49
Fascicule/Saison :
8
Pagination :
1901-1916
Peer reviewed :
Peer reviewed
Organisme subsidiant :
FRIA - Fonds pour la Formation à la Recherche dans l'Industrie et dans l'Agriculture [BE]
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