Experimental study of non-linear energy pumping occurring at a single fast frequency |
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Authors: | D. Michael McFarland |
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Affiliation: | a Department of Aerospace Engineering, University of Illinois at Urbana-Champaign, USA b Division of Mechanics, National Technical University of Athens, Athens, Greece c Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, USA |
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Abstract: | Experimental verification of passive non-linear energy pumping in a two-degree-of-freedom system comprising a damped linear oscillator coupled to an essentially non-linear attachment is carried out. In the experiments presented the non-linear attachment interacts with a single linear mode and, hence, energy pumping occurs at a single ‘fast’ frequency in the neighborhood of the eigenfrequency of the linear mode. Good agreement between simulated and experimental results was observed, in spite of the strongly (essentially) non-linear and transient nature of the dynamics of the system considered. The experiments bear out earlier predictions that a significant fraction of the energy introduced directly to a linear structure by an external impulsive (broadband) load can be transferred (pumped) to an essentially non-linear attachment, and dissipated there locally without spreading back to the system. In addition, the reported experimental results confirm that (a) non-linear energy pumping in systems of coupled oscillators can occur only above a certain threshold of the input energy, and (b) there is an optimal value of the energy input at which a maximum portion of the energy is absorbed and dissipated at the NES. |
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Keywords: | Energy pumping Resonance capture Non-linear oscillation Essential non-linearity |
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