Nonlinear normal modes; Invariant manifolds; Nonconservative systems; Modal analysis; Finite element method
Abstract :
[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 :
Aerospace & aeronautics engineering
Author, co-author :
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
Language :
English
Title :
An effective finite-element-based method for the computation of nonlinear normal modes of nonconservative systems
Publication date :
2014
Journal title :
Meccanica
ISSN :
0025-6455
eISSN :
1572-9648
Publisher :
Kluwer Academic Publishers, Netherlands
Special issue title :
Nonlinear Dynamics and Control of Composites for Smart Engineering Design
Volume :
49
Issue :
8
Pages :
1901-1916
Peer reviewed :
Peer reviewed
Funders :
FRIA - Fonds pour la Formation à la Recherche dans l'Industrie et dans l'Agriculture
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