Reference : Irreversible passive energy transfer in coupled oscillators with essential nonlinearity
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Engineering, computing & technology : Mechanical engineering
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Irreversible passive energy transfer in coupled oscillators with essential nonlinearity
Kerschen, Gaëtan mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux >]
Lee, Young Sup [University of Illinois > > >Department of Mechanical and Industrial Engineering > > >]
Vakakis, Alexander F. [National Technical University of Athens - NTUA > > >Department of Applied Mathematical and Physical Sciences > > >]
McFarland, D. Michael [University of Illinois > > >Department of Aerospace Engineering > > >]
Bergman, Lawrence A. [University of Illinois > > >Department of Aerospace Engineering > > >]
SIAM Journal on Applied Mathematics
Siam Publications
Yes (verified by ORBi)
[en] resonance capture ; passive energy transfer ; essential nonlinearity ; nonlinear energy sinks ; energy pumping
[en] We study numerically and analytically the dynamics of passive energy transfer from a damped linear oscillator to an essentially nonlinear end attachment. This transfer is caused by either fundamental or subharmonic resonance capture, and in some cases is initiated by nonlinear beat phenomena. It is shown that, due to the essential nonlinearity, the end attachment is capable of passively absorbing broadband energy at both high and low frequencies, acting, in essence, as a passive broadband boundary controller. Complicated transitions in the damped dynamics can be interpreted based on the topological structure and bifurcations of the periodic solutions of the underlying undamped system. Moreover, complex resonance capture cascades are numerically encountered when we increase the number of degrees of freedom of the system. The ungrounded essentially nonlinear end attachment discussed in this work can find application in numerous practical settings, including vibration and shock isolation of structures, seismic isolation,. utter suppression, and packaging.
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