TY - JOUR
T1 - Experimental study of non-linear energy pumping occurring at a single fast frequency
AU - McFarland, D. Michael
AU - Bergman, Lawrence A.
AU - Vakakis, Alexander F.
N1 - Funding Information:
This work was supported in part by AFOSR Contract 00-AF-B/V-0813 (Dr. Dean Mook, Grant Monitor), and by ONR Contract N00014-00-1-0187 (Dr. Louise Couchman, Grant Monitor). Mr. Jeffrey Kowtko, then an undergraduate research assistant at the University of Illinois, assisted with the experiments and with the schematic of Fig. 1 b.
PY - 2005/7
Y1 - 2005/7
N2 - 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.
AB - 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.
KW - Energy pumping
KW - Essential non-linearity
KW - Non-linear oscillation
KW - Resonance capture
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U2 - 10.1016/j.ijnonlinmec.2004.11.001
DO - 10.1016/j.ijnonlinmec.2004.11.001
M3 - Article
AN - SCOPUS:15344351264
SN - 0020-7462
VL - 40
SP - 891
EP - 899
JO - International Journal of Non-Linear Mechanics
JF - International Journal of Non-Linear Mechanics
IS - 6
ER -