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Isolated response curves in a base-excited, two-degree-of-freedom, nonlinear system
Noël, Jean-Philippe; Detroux, Thibaut; Masset, Luc et al.
2015In Proceedings of the ASME 2015 International Design Engineering Technical Conferences
Peer reviewed
 

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Keywords :
Isolated response curves; Two-degree-of-freedom system; Nonlinear normal modes; Energy balance; Bifurcation tracking; Basins of attraction
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 :
Noël, Jean-Philippe ;  Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Detroux, Thibaut ;  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;  Duke University > School of Engineering
Language :
English
Title :
Isolated response curves in a base-excited, two-degree-of-freedom, nonlinear system
Publication date :
August 2015
Event name :
ASME 2015 International Design Engineering Technical Conferences
Event place :
Boston, United States - Massachusetts
Event date :
du 2 août au 5 août 2015
Audience :
International
Main work title :
Proceedings of the ASME 2015 International Design Engineering Technical Conferences
Peer reviewed :
Peer reviewed
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
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