Nonlinear Normal Modes; Invariant Manifold; Nonconservative; Boundary Value Problems; Trajectory-based Approach; Internal Resonance
Abstract :
[en] This paper considers the computation of nonlinear normal modes (NNMs) defined as two-dimensional manifolds in phase space. Because existing methods use explicit manifold parameterization, NNM computation in the presence of internal resonances requires multiple pairs of constraint coordinates. This paper investigates an alternative method for which the manifold is computed using successive boundary value problems.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Renson, Ludovic ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Touzé, Cyril; ENSTA-ParisTech, Palaiseau, France > Unité de Mécanique (UME)
Kerschen, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Language :
English
Title :
Computation of damped nonlinear normal modes with internal resonances: a boundary value approach
Publication date :
July 2014
Event name :
8th European Nonlinear Dynamics Conference (ENOC 2014)
Event date :
July 08-11, 2014
Audience :
International
Main work title :
Proceedings of the 8th European Nonlinear Dynamics Conference (ENOC 2014)
Peer reviewed :
Peer reviewed
Funders :
FRIA - Fonds pour la Formation à la Recherche dans l'Industrie et dans l'Agriculture [BE]
