Characterizing the dynamics of 3-D elastic nonlinear continua using the method of proper orthogonal decomposition

Georgiou, I; Servis, D

dc.contributor.author	Georgiou, I	en
dc.contributor.author	Servis, D	en
dc.date.accessioned	2014-03-01T02:50:00Z
dc.date.available	2014-03-01T02:50:00Z
dc.date.issued	2005	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/34869
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-33645681248&partnerID=40&md5=49e81d5807327528ee0591d906b9b333	en
dc.subject.other	Computer simulation	en
dc.subject.other	Elastic moduli	en
dc.subject.other	Finite element method	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Modal analysis	en
dc.subject.other	Three dimensional	en
dc.subject.other	3-D elastic nonlinear continua	en
dc.subject.other	Free motions	en
dc.subject.other	High resolution finite element simulations	en
dc.subject.other	Multi-field coupled dynamical system	en
dc.subject.other	Nonlinear control systems	en
dc.title	Characterizing the dynamics of 3-D elastic nonlinear continua using the method of proper orthogonal decomposition	en
heal.type	conferenceItem	en
heal.publicationDate	2005	en
heal.abstract	A novel and systematic way is presented to characterize the modal structure of the free dynamics of three-dimensional elastic continua. In particular, the method of Proper Orthogonal Decomposition (POD) for multi-field dynamics is applied to analyze the dynamics of prisms and moderately thick beams. A nonlinear finite element model is used to compute accurate approximations to free motions which in turn are processed by POD. The extension of POD to analyze the dynamics of threedimensional elastic continua, which are multi-field coupled dynamical system, is carried out by vector and matrix quantization of the finite element dynamics. An important outcome of this study is the fact that POD provides the means to systematically identify the shapes of nonlinear normal modes of vibration of three-dimensional structures from high resolution finite element simulations. Copyright © 2005 by ASME.	en
heal.journalName	American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC	en
dc.identifier.volume	74 DSC	en
dc.identifier.issue	2 PART B	en
dc.identifier.spage	1243	en
dc.identifier.epage	1254	en