Article (Scientific journals)
Impulsive periodic and quasi-period orbits in coupled oscillators with essential nonlinearity
Kerschen, Gaëtan; Gendelman, Oleg; Vakakis, Alexander F. et al.
2008In Communications in Nonlinear Science and Numerical Simulation, 13, p. 959-978
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Keywords :
Coupled oscillators;; Impulsive responses;; Targeted energy transfer
Abstract :
[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.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Mechanical engineering
Author, co-author :
Kerschen, Gaëtan  ;  Université de Liège - ULiège > 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,
Language :
English
Title :
Impulsive periodic and quasi-period orbits in coupled oscillators with essential nonlinearity
Publication date :
2008
Journal title :
Communications in Nonlinear Science and Numerical Simulation
ISSN :
1007-5704
Publisher :
Elsevier Science
Volume :
13
Pages :
959-978
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 10 August 2009

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