Extracting signatures for rigid body motion and modes of coupled vibration in elastic multi-rod mechanisms by POD processing of the finite element dynamics

Georgiou, IT; Bani-Khaled, MA

dc.contributor.author	Georgiou, IT	en
dc.contributor.author	Bani-Khaled, MA	en
dc.date.accessioned	2014-03-01T02:49:23Z
dc.date.available	2014-03-01T02:49:23Z
dc.date.issued	2003	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/34579
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-1842635037&partnerID=40&md5=fe46dedc7354af391308e2de93fdf4ae	en
dc.subject.other	Proper orthogonal (PO) modes	en
dc.subject.other	Slider-crank mechanisms	en
dc.subject.other	Computation theory	en
dc.subject.other	Dynamics	en
dc.subject.other	Elasticity	en
dc.subject.other	Stiffness	en
dc.subject.other	Vibrations (mechanical)	en
dc.subject.other	Mechanical engineering	en
dc.title	Extracting signatures for rigid body motion and modes of coupled vibration in elastic multi-rod mechanisms by POD processing of the finite element dynamics	en
heal.type	conferenceItem	en
heal.publicationDate	2003	en
heal.abstract	The method of Proper Orthogonal Decomposition for coupled dynamic fields is applied to systematically analyze the free dynamics, approximated by the method of finite elements, of a set of moving flexible rods and a two-rod flexible mechanism. The POD analysis identifies unique optimum degrees-of-freedom, Proper Orthogonal (PO) modes, for these systems. For moving stiff rods, the single dominant PO mode involves weak coupling of rigid body motion to deformation motion. The shapes of the PO modes for rigid body motion and vibration have invariant characteristic signatures for rigid body motion coupled to deformation motion. These signatures remain almost the same when two stiff rods are connected to form a slider-crank mechanism. The two dominant POMs of the mechanism represent rigid body mode of motion, which are coupled weakly to higher order PO modes. The weak coupling is due to the high rigidity of the rods in the mechanism.	en
heal.journalName	Proceedings of the ASME Design Engineering Technical Conference	en
dc.identifier.volume	5 A	en
dc.identifier.spage	53	en
dc.identifier.epage	62	en