TY - JOUR
T1 - Experimental demonstration of transient resonance capture in a system of two coupled oscillators with essential stiffness nonlinearity
AU - Kerschen, Gaëtan
AU - McFarland, D. Michael
AU - Kowtko, Jeffrey J.
AU - Lee, Young S.
AU - Bergman, Lawrence A.
AU - Vakakis, Alexander F.
N1 - Funding Information:
This work was funded in part by AFOSR Contracts F49620-01-1-0208 and 00-AF-B/V-0813. One of the authors (GK) is supported by a grant from the Belgian National Fund for Scientific Research (FNRS), which is gratefully acknowledged. This study was carried out while GK was a postdoctoral fellow at the University of Illinois. The support of the Fulbright and Duesberg Foundations, which made his visit possible, is also gratefully acknowledged.
PY - 2007/2/6
Y1 - 2007/2/6
N2 - The purpose of this paper is to report an experimental study of transient resonance capture that may occur in a system of two coupled oscillators with essential (i.e., nonlinearizable) nonlinearity. It is shown that during transient resonance capture the two oscillators are in a state of resonance, the frequency of which varies with time, which leads to targeted nonlinear energy transfer. Further evidence of resonance capture is a non-time-like behavior of the phase difference between the oscillators; this quantity is monitored using the Hilbert transform or the Huang-Hilbert transform in the case of multifrequency response signals.
AB - The purpose of this paper is to report an experimental study of transient resonance capture that may occur in a system of two coupled oscillators with essential (i.e., nonlinearizable) nonlinearity. It is shown that during transient resonance capture the two oscillators are in a state of resonance, the frequency of which varies with time, which leads to targeted nonlinear energy transfer. Further evidence of resonance capture is a non-time-like behavior of the phase difference between the oscillators; this quantity is monitored using the Hilbert transform or the Huang-Hilbert transform in the case of multifrequency response signals.
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U2 - 10.1016/j.jsv.2006.07.029
DO - 10.1016/j.jsv.2006.07.029
M3 - Article
AN - SCOPUS:33750620921
SN - 0022-460X
VL - 299
SP - 822
EP - 838
JO - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
IS - 4-5
ER -