Experimental study of non-linear energy pumping occurring at a single fast frequency

McFarland, DM; Bergman, LA; Vakakis, AF

dc.contributor.author	McFarland, DM	en
dc.contributor.author	Bergman, LA	en
dc.contributor.author	Vakakis, AF	en
dc.date.accessioned	2014-03-01T01:22:22Z
dc.date.available	2014-03-01T01:22:22Z
dc.date.issued	2005	en
dc.identifier.issn	0020-7462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16538
dc.subject	Energy pumping	en
dc.subject	Essential non-linearity	en
dc.subject	Non-linear oscillation	en
dc.subject	Resonance capture	en
dc.subject.classification	Mechanics	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Energy absorption	en
dc.subject.other	Energy dissipation	en
dc.subject.other	Impulse response	en
dc.subject.other	Natural frequencies	en
dc.subject.other	Nonlinear systems	en
dc.subject.other	Transients	en
dc.subject.other	Energy pumping	en
dc.subject.other	Essential non-linearity	en
dc.subject.other	Non-linear oscillation	en
dc.subject.other	Resonance capture	en
dc.subject.other	Oscillators (mechanical)	en
dc.title	Experimental study of non-linear energy pumping occurring at a single fast frequency	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijnonlinmec.2004.11.001	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijnonlinmec.2004.11.001	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	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. (c) 2004 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Non-Linear Mechanics	en
dc.identifier.doi	10.1016/j.ijnonlinmec.2004.11.001	en
dc.identifier.isi	ISI:000228600000009	en
dc.identifier.volume	40	en
dc.identifier.issue	6	en
dc.identifier.spage	891	en
dc.identifier.epage	899	en