|Reference : Impulsive periodic and quasi-period orbits in coupled oscillators with essential nonline...|
|Scientific journals : Article|
|Engineering, computing & technology : Multidisciplinary, general & others|
Engineering, computing & technology : Mechanical engineering
|Impulsive periodic and quasi-period orbits in coupled oscillators with essential nonlinearity|
|Kerschen, Gaëtan [Université de Liège - ULg > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux >]|
|Gendelman, Oleg [Technion – Israel Institute of Technology > Faculty of Mechanical Engineering > > >]|
|Vakakis, Alexander F. [National Technical University of Athens > School of Applied Mathematical and Physical Sciences > > >]|
|Bergman, Lawrence A. [University of Illinois at Urbana-Champaign > Department of Aerospace Engineering, > > >]|
|McFarland, D. Michael [University of Illinois at Urbana-Champaign > Department of Aerospace Engineering, > > >]|
|Communications in Nonlinear Science & Numerical Simulation|
|[en] Coupled oscillators; ; Impulsive responses; ; Targeted energy transfer|
|[en] We study the impulsive responses of a grounded linear oscillator coupled to a light nonlinear attachment through an
essentially nonlinear (nonlinearizable) stiffness. We analyze the periodic and quasi-periodic dynamics of the undamped system
forced by a single impulse on the linear oscillator and being initially at rest, by considering separately low-, moderateand
high-energy impulsive motions. The motivation for studying the impulsive dynamics of this system centers on passive
targeted energy transfer properties of the corresponding weakly damped one, that is, of the possibility of one-way, irreversible
transfer of energy from the linear oscillator to the nonlinear attachment. A rather surprising aspect of this work is the
complexity of the analysis required to study the impulsive dynamics of this system, due to its high degeneracy, as it undergoes
a co-dimension three bifurcation.
2006 Elsevier B.V. All rights reserved.
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