Reference : Efficient targeted energy transfers in coupled nonlinear oscillators through 1:1 tran...
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Engineering, computing & technology : Mechanical engineering
Physical, chemical, mathematical & earth Sciences : Mathematics
Physical, chemical, mathematical & earth Sciences : Physics
Engineering, computing & technology : Computer science
Efficient targeted energy transfers in coupled nonlinear oscillators through 1:1 transcient resonance captures:
Sapsis, Themistoklis [Massachusetts Institute of Technology - MIT > Department of Mechanical Engineering > > >]
Quinn, D. Dane [The University of Akron, Akron > Department of Mechanical Engineering > > >]
Gendelman, Oleg [Technion—Israel Institute of Technology > Faculty of Mechanical Engineering > > >]
Vakakis, Alexander. F. [National Technical University of Athens - NTUA > Division of Mechanics > > >]
Bergman, Lawrence [University of Illinois at Urbana-Champaign > Department of Mechanical Science and Engineering (Adjunct) and Department of Aerospace Engineering (Adjunct > > >]
Kerschen, Gaëtan mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux >]
Sixth EUROMECH Nonlinear Dynamics Conference, Saint Petersbourg, 2008
Sixth EUROMECH Nonlinear Dynamics Conference
[en] Bifurcations ; Modeling
[en] We study targeted energy transfer (TET) in a two degree-of-freedom damped system caused by 1:1 transient resonance capture (TRC). The system consists of a linear oscillator strongly coupled to an essentially nonlinear attachment. First, we study the underlying structure of the Hamiltonian dynamics of the system, and then show that, for sufficiently small values of viscous damping, the nonlinear damped transitions are strongly influenced by the underlying topological structure of periodic and quasiperiodic orbits of the hamiltonian system. Then, a detailed computational study of the different types of nonlinear transitions that occur in the weakly damped system is presented. As a result of these studies, conditions that lead to effective or even optimal TET from the linear system to the nonlinear attachment are determined. Finally, direct analytical treatment of the governing strongly nonlinear damped equations of motion is performed through slow/fast partition of the transient responses, in order to analytically model the dynamics the region of optimal TET, and to determine the characteristic time scales of the dynamics that influence the capacity of the nonlinear attachment to passively absorb and locally dissipate broadband energy from the linear oscillator.
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