Dynamic buckling of autonomous systems having potential energy universal unfoldings of cuspoid catastrophe

Kounadis, AN

dc.contributor.author	Kounadis, AN	en
dc.date.accessioned	2014-03-01T01:14:32Z
dc.date.available	2014-03-01T01:14:32Z
dc.date.issued	1999	en
dc.identifier.issn	0924-090X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13132
dc.subject	dynamic buckling	en
dc.subject	autonomous potential systems	en
dc.subject	universal solutions	en
dc.subject	cuspoid catastrophe	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Dynamic loads	en
dc.subject.other	Dynamic response	en
dc.subject.other	Hysteresis	en
dc.subject.other	Potential energy	en
dc.subject.other	System stability	en
dc.subject.other	Autonomous potential systems	en
dc.subject.other	Cuspoid catastrophe	en
dc.subject.other	Discrete nondissipative systems	en
dc.subject.other	Dynamic buckling	en
dc.subject.other	Universal solutions	en
dc.subject.other	Dynamics	en
dc.title	Dynamic buckling of autonomous systems having potential energy universal unfoldings of cuspoid catastrophe	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/A:1008373709017	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1008373709017	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	This work deals with dynamic buckling universal solutions of discrete nondissipative systems under step loading of infinite duration. Attention is focused on total potential energy functions associated with universal unfoldings of cuspoid type catastrophes with one active coordinate. The fold, dual cusp and tilted cusp catastrophes under statically applied loading occurring via limit points, asymmetric/symmetric bifurcations and nondegenerate hysteresis points are extended to the case of dynamic loading. Catastrophe manifolds of these types showing imperfection sensitivity under both types of loading are fully assessed. Important findings regarding dynamic buckling of imperfect systems generated by perfect systems associated with 'imperfect' bifurcations are explored. The analysis is supplemented by a numerical application of a system exhibiting imperfect bifurcation when it is perfect as well as a hysteresis point associated with a tilted cusp catastrophe, when it becomes imperfect.	en
heal.publisher	Kluwer Academic Publishers, Dordrecht, Netherlands	en
heal.journalName	Nonlinear Dynamics	en
dc.identifier.doi	10.1023/A:1008373709017	en
dc.identifier.isi	ISI:000080000000002	en
dc.identifier.volume	18	en
dc.identifier.issue	3	en
dc.identifier.spage	235	en
dc.identifier.epage	252	en