Reference : Continuation of bifurcations of periodic solutions based on the harmonic balance method
Scientific congresses and symposiums : Unpublished conference/Abstract
Engineering, computing & technology : Aerospace & aeronautics engineering
http://hdl.handle.net/2268/181167
Continuation of bifurcations of periodic solutions based on the harmonic balance method
English
Detroux, Thibaut mailto [Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux >]
Kerschen, Gaëtan mailto [Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux >]
8-Jul-2014
Yes
No
International
8th European Nonlinear Dynamics Conference (ENOC 2014)
July 6-11, 2014
Vienna
Austria
[en] This paper proposes to extend the harmonic balance method to perform the continuation of bifurcations of periodic solutions in a codimension-2 parameter space. Based on the framework of bordering techniques, the procedure utilizes Hill’s method to augment the system of equations in order to track bifurcations. As an application to validate the procedure, the design of a nonlinear vibration absorber attached to a Duffing oscillator is studied.
ERC Starting Grant NoVib 307265
Researchers ; Professionals ; Students
http://hdl.handle.net/2268/181167

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