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Bifurcation analysis of large-scale dynamical systems using the harmonic balance method
Detroux, Thibaut; Renson, Ludovic; Masset, Luc et al.
2015In Proceedings of the 12th Colloque National en Calcul des Structures (CSMA)
 

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Keywords :
Continuation of periodic solutions; Bifurcation tracking; Harmonic balance method; Quasiperiodic oscillations; Detached resonance curves
Abstract :
[en] The harmonic balance (HB) method has been widely used in the past few years, as a numerical tool for the study of nonlinear industrial models. However, in its classical formulation the HB method is limited to the approximation of periodic solutions. The present paper proposes to extend the method to the detection and tracking of codimension-1 bifurcations in the system parameters space. As an application, the frequency response of a spacecraft and its bifurcations are studied, together with two nonlinear phenomena, namely quasiperiodic oscillations and detached resonance curves.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Detroux, Thibaut ;  Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Renson, Ludovic ;  Université de Liège > R&D Direction : Chercheurs ULiège en mobilité
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
Language :
English
Title :
Bifurcation analysis of large-scale dynamical systems using the harmonic balance method
Publication date :
22 May 2015
Event name :
12e Colloque National en Calcul des Structures (CSMA 2015)
Event place :
Giens, France
Event date :
May 18-22, 2015
Audience :
International
Main work title :
Proceedings of the 12th Colloque National en Calcul des Structures (CSMA)
Name of the research project :
ERC Starting Grant NoVib 307265
Funders :
UE - Union Européenne [BE]
Available on ORBi :
since 04 June 2015

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