Experimental study of non-linear energy pumping occurring at a single fast frequency

被引:224
作者
McFarland, DM
Bergman, LA
Vakakis, AF
机构
[1] Natl Tech Univ Athens, Div Mech, GR-15710 Athens, Greece
[2] Univ Illinois, Dept Aerosp Engn, Urbana, IL USA
[3] Univ Illinois, Dept Mech & Ind Engn, Urbana, IL 61801 USA
关键词
energy pumping; resonance capture; non-linear oscillation; essential non-linearity;
D O I
10.1016/j.ijnonlinmec.2004.11.001
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
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. (c) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:891 / 899
页数:9
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