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Steady State Passive Nonlinear Energy Pumping in Coupled Oscillators: Theoretical and Experimental Results

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dc.contributor.author Jiang, X en
dc.contributor.author Michael Mcfarland, D en
dc.contributor.author Bergman, LA en
dc.contributor.author Vakakis, AF en
dc.date.accessioned 2014-03-01T01:19:34Z
dc.date.available 2014-03-01T01:19:34Z
dc.date.issued 2003 en
dc.identifier.issn 0924-090X en
dc.identifier.uri http://hdl.handle.net/123456789/15578
dc.subject Nonlinear localization en
dc.subject Steady state motions en
dc.subject.classification Engineering, Mechanical en
dc.subject.classification Mechanics en
dc.subject.other Energy absorption en
dc.subject.other Frequencies en
dc.subject.other Hysteresis en
dc.subject.other Vibrations (mechanical) en
dc.subject.other Nonlinear energy sinks en
dc.subject.other Oscillators (electronic) en
dc.title Steady State Passive Nonlinear Energy Pumping in Coupled Oscillators: Theoretical and Experimental Results en
heal.type journalArticle en
heal.identifier.primary 10.1023/A:1025599211712 en
heal.identifier.secondary http://dx.doi.org/10.1023/A:1025599211712 en
heal.language English en
heal.publicationDate 2003 en
heal.abstract We study theoretically and experimentally the effect that a nonlinear energy sink (NES) has on the steady state dynamics of a weakly coupled system. The NES possesses essentially nonlinear (nonlinearizable) stiffness nonlinearity of the third degree. We find that, in contrast to the classical linear vibration absorber, the NES is capable of absorbing steady state vibration energy from the linear oscillator over a relatively broad frequency range. This results in localization of the steady state vibration in the NES, away from the directly forced subsystem. For a forward frequency sweep the localized branch of steady state motions is suddenly eliminated by a jump to a linearized low-amplitude motion, whereas, for a backward frequency sweep a reverse jump occurs. The difference in the frequencies of the two jumps introduces a nonlinear hysteresis loop. This work extends to the steady state case of earlier transient passive energy pumping results. The notion of passively transferring vibration energy to an a priori determined NES, weakly attached to a main structure, is novel. The use of nonlinear energy sinks for passively absorbing energy from a linear main structure can form the basis of relatively simple and modular vibration and shock isolation designs of mechanical systems. en
heal.publisher KLUWER ACADEMIC PUBL en
heal.journalName Nonlinear Dynamics en
dc.identifier.doi 10.1023/A:1025599211712 en
dc.identifier.isi ISI:000185124700006 en
dc.identifier.volume 33 en
dc.identifier.issue 1 en
dc.identifier.spage 87 en
dc.identifier.epage 102 en


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