A combined method for the investigation of coupled bandpass-lowpass nonlinear oscillators based on hilbert transform and perturbation analysis

Xiros, NI; Georgiou, I

dc.contributor.author	Xiros, NI	en
dc.contributor.author	Georgiou, I	en
dc.date.accessioned	2014-03-01T02:50:17Z
dc.date.available	2014-03-01T02:50:17Z
dc.date.issued	2006	en
dc.identifier.issn	01608835	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/35030
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-80054877682&partnerID=40&md5=132a66eb33d3aa4ca453da17a524c5a4	en
dc.subject.other	Dynamic equations	en
dc.subject.other	Hilbert transforms	en
dc.subject.other	Linear time invariant systems	en
dc.subject.other	Nonlinear oscillators	en
dc.subject.other	Nonlinear statics	en
dc.subject.other	Bandpass filters	en
dc.subject.other	Electromechanical coupling	en
dc.subject.other	Hilbert spaces	en
dc.subject.other	Invariance	en
dc.subject.other	Low pass filters	en
dc.subject.other	Perturbation techniques	en
dc.subject.other	State space methods	en
dc.subject.other	Oscillators (electronic)	en
dc.title	A combined method for the investigation of coupled bandpass-lowpass nonlinear oscillators based on hilbert transform and perturbation analysis	en
heal.type	conferenceItem	en
heal.publicationDate	2006	en
heal.abstract	The nonlinear coupling dynamics between a bandpass and a lowpass subsystem is investigated by partitioning the system state vector to a lowpass and a bandpass part. The corresponding dynamic equations of the lowpass part are formed on the assumption of linearity when unforced. Its excitation includes an external disturbance vector and a nonlinear static term, standing for the coupling of the lowpass dynamics to the bandpass part of the full system. For the bandpass part, the constant matrices appearing in the conventional form of the state-space representation of linear time invariant systems are substituted by matrix functions depending upon the state vector of the lowpass subsystem. A convenient method for describing this interaction between spectrally separated subsystems, which can be established only if their coupling is nonlinear, is the Hilbert transform. The methodology proposed is applied to a typical electromechanical oscillator, where it is compared against the standard perturbation analysis results. Copyright © 2006 by ASME.	en
heal.journalName	American Society of Mechanical Engineers, Applied Mechanics Division, AMD	en