TY - JOUR
T1 - Localization of energy in nonlinear systems with two degrees of freedom
AU - Koz'min, A. Yu
AU - Mikhlin, Yu V.
AU - Pierre, C.
PY - 2007/5
Y1 - 2007/5
N2 - Energy pumping in a two-degrees-of-freedom system with linear and essentially nonlinear oscillators is studied. The kinetic energy envelopes of the linear and nonlinear subsystems are chosen to be the main characteristics of the process under consideration. A criterion that the energy of the linear oscillator excited at time zero is completely pumped over into the nonlinear oscillator is established together with an additional condition whereby the energy does not return to the linear subsystem. Optimal energy pumping mode is established using global optimization. The effect of the parameters of the system on the main characteristics is assessed
AB - Energy pumping in a two-degrees-of-freedom system with linear and essentially nonlinear oscillators is studied. The kinetic energy envelopes of the linear and nonlinear subsystems are chosen to be the main characteristics of the process under consideration. A criterion that the energy of the linear oscillator excited at time zero is completely pumped over into the nonlinear oscillator is established together with an additional condition whereby the energy does not return to the linear subsystem. Optimal energy pumping mode is established using global optimization. The effect of the parameters of the system on the main characteristics is assessed
KW - Energy localization
KW - Energy pumping
KW - Global optimization
KW - Linear and nonlinear oscillators
UR - http://www.scopus.com/inward/record.url?scp=35348943985&partnerID=8YFLogxK
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U2 - 10.1007/s10778-007-0056-0
DO - 10.1007/s10778-007-0056-0
M3 - Article
AN - SCOPUS:35348943985
SN - 1063-7095
VL - 43
SP - 568
EP - 576
JO - International Applied Mechanics
JF - International Applied Mechanics
IS - 5
ER -