[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.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Detroux, Thibaut ; 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 :
Continuation of bifurcations of periodic solutions based on the harmonic balance method
Publication date :
08 July 2014
Event name :
8th European Nonlinear Dynamics Conference (ENOC 2014)