Isolated response curves; Nonlinear normal modes; Energy balance; Bifurcation tracking
Abstract :
[en] In the present paper, isolated response curves in a nonlinear system consisting of two masses
sliding on a horizontal guide are examined. Transverse springs are attached to one mass to provide the nonlinear restoring force, and a harmonic motion of the complete system is imposed by prescribing the displacement of their supports. Numerical simulations are carried out to study the conditions of existence of isolated solutions, their bifurcations, their merging with the main response branch and their basins of attraction. This is achieved using tools including nonlinear normal modes, energy balance, harmonic balance-based continuation and bifurcation tracking, and global analysis.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Detroux, Thibaut ; Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Noël, Jean-Philippe ; Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Masset, Luc ; Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Kerschen, Gaëtan ; Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Virgin, Lawrence N.; Duke University > School of Engineering > Nonlinear Dynamics Group
Language :
English
Title :
Numerical study of intrinsic features of isolas in a 2-dof nonlinear system
Publication date :
June 2015
Event name :
International Conference on Structural Engineering Dynamics (ICEDyn 2015)
Event place :
Lagos, Portugal
Event date :
June 22-24, 2015
Audience :
International
Main work title :
Proceedings of the ICEDyn conference
Name of the research project :
ERC Starting Grant NoVib 307265
Funders :
UE - Union Européenne F.R.S.-FNRS - Fonds de la Recherche Scientifique
