Phase shift near natural frequencies of non linear rods

Georgiou, IT

dc.contributor.author	Georgiou, IT	en
dc.date.accessioned	2014-03-01T02:41:57Z
dc.date.available	2014-03-01T02:41:57Z
dc.date.issued	2001	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/30697
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0035791087&partnerID=40&md5=bd4b949935105ba856f7611dcbe38906	en
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0035791087&partnerID=40&md5=bd4b949935105ba856f7611dcbe38906	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Dynamics	en
dc.subject.other	Equations of motion	en
dc.subject.other	Harmonic analysis	en
dc.subject.other	Mathematical models	en
dc.subject.other	Phase shift	en
dc.subject.other	Poisson ratio	en
dc.subject.other	Tensors	en
dc.subject.other	Geometric nonlinearity	en
dc.subject.other	Periodic attractor	en
dc.subject.other	Proper orthogonal decomposition	en
dc.subject.other	Quasi static frequency	en
dc.subject.other	Steady state dynamics	en
dc.subject.other	Natural frequencies	en
dc.title	Phase shift near natural frequencies of non linear rods	en
heal.type	conferenceItem	en
heal.publicationDate	2001	en
heal.abstract	We study the transient and steady state dynamics of a special class of motions of forced planar rods with exact geometric nonlinearity. The attractors of these motions are separated by a finite jump at a critical forcing frequency in an attractor diagram of the undistorted configuration generated by a quasi-static frequency sweep at fixed forcing amplitude. As the frequency of the forcing passes through this critical or jump frequency, the motion (trajectory) of the undistorted configuration changes basin of attraction. For forcing frequency slightly greater than the jump frequency, the response trajectories of the undistorted configuration pass near an unstable periodic attractor and undergo continuous phase shift while approaching a stable attractor. For forcing frequency slightly smaller than the jump frequency, the response trajectories of the undistorted configuration pass near the same unstable attractor and undergo no net phase angle when landing on the stable attractor that attracts them. The phase-shifting property reveals that the frequency at which the jump occurs is indeed a natural frequency of the nonlinear rod.	en
heal.journalName	Proceedings of the ASME Design Engineering Technical Conference	en
dc.identifier.volume	6 C	en
dc.identifier.spage	2429	en
dc.identifier.epage	2436	en