Dynamic buckling of 1-DOF autonomous potential systems under tilted CUSP catastrophe

Kounadis, AN

dc.contributor.author	Kounadis, AN	en
dc.date.accessioned	2014-03-01T02:41:52Z
dc.date.available	2014-03-01T02:41:52Z
dc.date.issued	2001	en
dc.identifier.issn	01608835	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/30634
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0348043275&partnerID=40&md5=d836913d16b9403e1d63f5637bf3b29d	en
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0348043275&partnerID=40&md5=d836913d16b9403e1d63f5637bf3b29d	en
dc.subject.other	Autonomous potential systems	en
dc.subject.other	Catastrophe theory	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Hysteresis	en
dc.subject.other	Linearization	en
dc.subject.other	Perturbation techniques	en
dc.subject.other	Potential energy	en
dc.subject.other	Stability	en
dc.subject.other	Structural analysis	en
dc.subject.other	Buckling	en
dc.title	Dynamic buckling of 1-DOF autonomous potential systems under tilted CUSP catastrophe	en
heal.type	conferenceItem	en
heal.publicationDate	2001	en
heal.abstract	Nonlinear dynamic buckling of one-degree-of freedom (1-DOF) undamped systems under step loading (autonomous systems) of constant direction and infinite duration is discussed in detail using Catastrophe Theory. Attention is focused on the relation of static cuspoind catastrophes to the corresponding dynamic catastrophes for 1-DOF autonomous undamped systems by determining properly the dynamic singularity and bifurcational sets for such systems. Using local analysis one has to classify first the total potential energy (TPE) function of the system into one of the elementary Thom's catastrophes by defining the corresponding control (unfolding) parameters. Subsequently, using global analyses one can readily obtain exact results for the dynamic buckling loads (DBLs) and their imperfection sensitivity of systems subjected to dynamic dual cusp and tilted cusp catastrophes. It was found that the maximum DEL of the dynamic tilted cusp catastrophe corresponds to a limit point lying in the vicinity of the hysteresis point (related to the static tilted cusp catastrophe). Numerical examples illustrate the methodology proposed herein.	en
heal.journalName	American Society of Mechanical Engineers, Applied Mechanics Division, AMD	en
dc.identifier.volume	249	en
dc.identifier.spage	29	en
dc.identifier.epage	57	en