TY - GEN
T1 - Passive vibration control by nonlinear energy pumping
T2 - Theoretical and experimental results
AU - Vakakis, Alexander F
AU - McFarland, D. Michael
AU - Bergman, Lawrence
AU - Manevitch, Leonid
AU - Gendelman, Oleg
PY - 2005
Y1 - 2005
N2 - We analyze energy pumping phenomena in a linear periodic substructure, weakly coupled to an essentially nonlinear attachment. By energy pumping we denote passive, one-way, irreversible transfer of energy from the linear substructure to the nonlinear attachment. As a specific application the dynamics of a system of linear coupled oscillators with a nonlinear end attachment is examined. Both theoretical and experimental results are discussed, including resonance capture cascades, i.e., a series of energy pumping phenomena occurring at different frequencies, with sudden lower frequency transitions between sequential events. The observed multifrequency energy pumping cascades are particularly interesting from a practical point of view, since they indicate that nonlinear attachments can be designed to resonate and extract energy from an a priori specified set of modes of a linear structure, in compatibility with the design objectives.
AB - We analyze energy pumping phenomena in a linear periodic substructure, weakly coupled to an essentially nonlinear attachment. By energy pumping we denote passive, one-way, irreversible transfer of energy from the linear substructure to the nonlinear attachment. As a specific application the dynamics of a system of linear coupled oscillators with a nonlinear end attachment is examined. Both theoretical and experimental results are discussed, including resonance capture cascades, i.e., a series of energy pumping phenomena occurring at different frequencies, with sudden lower frequency transitions between sequential events. The observed multifrequency energy pumping cascades are particularly interesting from a practical point of view, since they indicate that nonlinear attachments can be designed to resonate and extract energy from an a priori specified set of modes of a linear structure, in compatibility with the design objectives.
KW - Nonlinear energy pumping
KW - Vibration control
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U2 - 10.1007/1-4020-3268-4-42
DO - 10.1007/1-4020-3268-4-42
M3 - Conference contribution
AN - SCOPUS:84884659441
SN - 9781402032677
T3 - Solid Mechanics and its Applications
SP - 451
EP - 458
BT - IUTAM Symposium on Chaotic Dynamics and Control of Systems and Processes in Mchanics
ER -