Dual mode vibration isolation based on non-linear mode localization

Jiang, X; Vakakis, AF

dc.contributor.author	Jiang, X	en
dc.contributor.author	Vakakis, AF	en
dc.date.accessioned	2014-03-01T01:18:54Z
dc.date.available	2014-03-01T01:18:54Z
dc.date.issued	2003	en
dc.identifier.issn	0020-7462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15250
dc.subject.classification	Mechanics	en
dc.subject.other	Computer simulation	en
dc.subject.other	Frequency domain analysis	en
dc.subject.other	Resonance	en
dc.subject.other	Stiffness	en
dc.subject.other	Vibrations (mechanical)	en
dc.subject.other	Nonlinear vibrations	en
dc.subject.other	Nonlinear systems	en
dc.title	Dual mode vibration isolation based on non-linear mode localization	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0020-7462(01)00137-8	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0020-7462(01)00137-8	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	We study a non-linear vibration isolation system capable of (a) isolating its upper part (the 'machine') from periodic disturbances generated at its base; and (b) simultaneously isolating its base from periodic disturbances generated at the level of the machine. By making use of essentially non-linear (e.g. non-linearizable) stiffness elements we completely eliminate resonances close to linearized modes, thus achieving vibration isolation over an extended frequency range. Instead, we prove the existence of branches of localized steady state motions in the frequency domain. Indeed, these localized forced motions are principally responsible for fulfilling the dual mode vibration isolation objective of this work. The method of analysis followed is based on complexification and separation of the dynamics into 'slow' varying and 'fast'-varying parts. Direct numerical simulations confirm the analytical predictions. An analytical method is then developed for determining the placement of the localized branches in the frequency domain as the system parameters vary; this permits the design of the vibration isolation system for best performance in a specified frequency range. The vibration isolation performance achieved by the non-linear system considered has no counterpart in linear theory. (C) 2002 Elsevier Science 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/S0020-7462(01)00137-8	en
dc.identifier.isi	ISI:000179532300004	en
dc.identifier.volume	38	en
dc.identifier.issue	6	en
dc.identifier.spage	837	en
dc.identifier.epage	850	en