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TRANSIENT DYNAMICS OF A DISPERSIVE ELASTIC WAVEGUIDE WITH AN ESSENTIALLY NONLINEAR ATTACHMENT
Vakakis, Alexander F.; Manevitch, Leonid I.; Musienko, Andrey et al.
2005In Fifth EUROMECH Nonlinear Dynamics Conference, Eindhoven, 2005
Peer reviewed
 

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Keywords :
Resonance capture; nonlinear wave scattering
Abstract :
[en] We consider the dynamics of a dispersive semiinfinite linear rod weakly connected to an essentially nonlinear end attachment. We examine resonant interactions of the attachment with incident traveling waves propagating in the pass band of the rod, as well as resonance capture phenomena where the attachment engages in transient 1:1 internal resonance with the in-phase mode of the rod, at the bounding frequency of its pass and stop bands. The studied resonant interactions of the nonlinear attachment with traveling waves are similar to resonance capture cascades occurring in finite chain–nonlinear attachment configurations; these are the transient dynamics of the attachment as it engages in a series of instantaneous resonances with a continuous spectrum of frequencies in the pass band of the medium. As the energy of the attachment decreases due to damping and energy radiation back to the rod, the attachment engages in 1:1 resonance capture with the in-phase mode of the rod; this resonance capture occurs due to the dispersion property in the linear medium.
Disciplines :
Mathematics
Mechanical engineering
Physics
Author, co-author :
Vakakis, Alexander F.;  National Technical University of Athens, Greece > Mechanics Division
Manevitch, Leonid I.;  Russian Academy of Sciences, Moscow, Russia > Institute of Chemical Physics
Musienko, Andrey;  Russian Academy of Sciences, Moscow, Russia > Institute of Chemical Physics
Kerschen, Gaëtan  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Bergman, Lawrence A.;  University of Illinois, Urbana-Champaign, USA > Dept. of Aerospace Engineering
Language :
English
Title :
TRANSIENT DYNAMICS OF A DISPERSIVE ELASTIC WAVEGUIDE WITH AN ESSENTIALLY NONLINEAR ATTACHMENT
Publication date :
August 2005
Event name :
Fifth EUROMECH Nonlinear Dynamics Conference
Event place :
Eindhoven, Netherlands
Event date :
7-12 August 2005
Audience :
International
Main work title :
Fifth EUROMECH Nonlinear Dynamics Conference, Eindhoven, 2005
Peer reviewed :
Peer reviewed
Available on ORBi :
since 10 August 2009

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