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Energy Pumping in Nonlinear Mechanical Oscillators: Part II---Resonance Capture

Energy Pumping in Nonlinear Mechanical Oscillators: Part II---Resonance Capture,10.1115/1.1345525,Journal of Applied Mechanics-transactions of The Asm

Energy Pumping in Nonlinear Mechanical Oscillators: Part II---Resonance Capture   (Citations: 77)
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    • ...Goodman et al. [13] considered the interaction of nonlinear Schrödinger solitons with a localized defect in a medium of infinite extent, and studied nonlinear resonance energy transfer [28] from the soliton to a localized standing wave at the position of the defect...

    Alexander F. Vakakis. Relaxation oscillations, subharmonic orbits and chaos in the dynamics ...

    • ...Previous works in this area concerned mainly energy transfer with linear absorber with important mass, or from linear to nonlinear oscillator [1, 2]. As discussed in [3, 4], this energy transfer is closely related to nonlinear normal modes of undamped/unforced system and nonlinear resonance mechanism...
    • ...In works like [4, 10, 11] it was shown that a weakly coupled, essentially nonlinear attachment, if properly designed, may passively absorb energy from the linear nonconservative structure, acting as nonlinear energy sink...
    • ...So, depending on the level of energy applied, energy pumping occurs (see [1, 3, 4])...

    S. N. J. Costaet al. On energy transfer between vibrating systems under linear and nonlinea...

    • ...In other related work, Vakakis and co-authors [12,13,7] have investigated an ‘‘energy pumping’’ phenomenon associated with the addition of a non-linear component to a linear system...

    Alejandro R. Diazet al. Optimal joint placement and modal disparity in control of flexible str...

    • ...As analyzed in recent studies [1, 2], this energy transfer is closely related to nonlinear normal modes of undamped/unforced system and nonlinear resonance mechanism...
    • ...Energy pumping phenomenon has been studied recently [12, 13] and it corresponds to a controlled oneway channeling of the vibrational energy to a passive nonlinear structure where it localizes and diminishes in time due to damping dissipation [1, 2]. Thus, through energy pumping, vibrations of a linear structure (subjected to an external excitation) can be attenuated thanks to a strongly nonlinear structure...

    E. Gourdonet al. Contribution to efficiency of irreversible passive energy pumping with...

    • ...Alternative configurations of single-DOF NESs were considered in previous works [3, 4], whereas alternative mechanisms of targeted energy transfer were studied by Kopidakis et al. [5], Aubry et al. [6], Morgante et al. [7], and Maniadis et al. [8]...

    Stylianos Tsakirtziset al. Complex dynamics and targeted energy transfer in linear oscillatorscou...

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