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Correspondence between intrinsic mode functions and slow flows

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dc.contributor.author Lee, YS en
dc.contributor.author Tsakirtzis, S en
dc.contributor.author Vakakis, AF en
dc.contributor.author Bergman, LA en
dc.contributor.author McFarland, DM en
dc.date.accessioned 2014-03-01T02:51:58Z
dc.date.available 2014-03-01T02:51:58Z
dc.date.issued 2009 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/35783
dc.relation.uri http://www.scopus.com/inward/record.url?eid=2-s2.0-82155164597&partnerID=40&md5=06315892c9da7111eec8b39410649ddc en
dc.subject.other Analyticity en
dc.subject.other Coupled oscillators en
dc.subject.other Empirical mode decomposition en
dc.subject.other Intrinsic mode functions en
dc.subject.other Mathematical expressions en
dc.subject.other Non-linear system identification en
dc.subject.other Non-parametric en
dc.subject.other Oscillatory mode en
dc.subject.other Physical systems en
dc.subject.other Physics-based en
dc.subject.other Slow flow en
dc.subject.other Strongly nonlinear en
dc.subject.other Structural systems en
dc.subject.other Theoretical foundations en
dc.subject.other Time domain en
dc.subject.other Two-degree-of-freedom en
dc.subject.other Computer science en
dc.subject.other Decomposition en
dc.subject.other Design en
dc.subject.other Functions en
dc.subject.other Time domain analysis en
dc.subject.other Time series en
dc.subject.other Vibration analysis en
dc.subject.other Signal processing en
dc.title Correspondence between intrinsic mode functions and slow flows en
heal.type conferenceItem en
heal.publicationDate 2009 en
heal.abstract We study the correspondence between analytical and empirical slow-flow analyses, which will form a basis for a time-domain nonparametric nonlinear system identification method. Given a sufficiently dense set of sensors, measured time series recorded throughout a mechanical or structural system contains all information regarding the dynamics of that system. Empirical mode decomposition (EMD) is a useful tool for decomposing the measured time series in terms of intrinsic mode functions (IMFs), which are oscillatory modes embedded in the data that fully reproduce the time series. The equivalence of responses of the analytical slow-flow models and the dominant IMFs derived from EMD provides a physics-based theoretical foundation for EMD, which currently is performed formally, in an ad hoc fashion. First deriving appropriate mathematical expressions governing the empirical slow flows and based on analyticity conditions, we demonstrate only close correspondence between analytical and empirical slow flows in a physical system that can be modeled as a two-degree-of-freedom strongly nonlinear coupled oscillators. Copyright © 2009 by ASME. en
heal.journalName Proceedings of the ASME Design Engineering Technical Conference en
dc.identifier.volume 1 en
dc.identifier.issue PARTS A AND B en
dc.identifier.spage 661 en
dc.identifier.epage 670 en


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