Dynamic stability criteria of nonlinear elastic damped/undamped systems under step loading

Kounadis, AN; Raftoyiannis, J

dc.contributor.author	Kounadis, AN	en
dc.contributor.author	Raftoyiannis, J	en
dc.date.accessioned	2014-03-01T01:07:52Z
dc.date.available	2014-03-01T01:07:52Z
dc.date.issued	1990	en
dc.identifier.issn	0001-1452	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10215
dc.subject	Dynamic Stability	en
dc.subject	Nonlinear Elasticity	en
dc.subject.classification	Engineering, Aerospace	en
dc.subject.other	Dynamic Buckling	en
dc.subject.other	Viscous Damping	en
dc.subject.other	Structural Analysis	en
dc.title	Dynamic stability criteria of nonlinear elastic damped/undamped systems under step loading	en
heal.type	journalArticle	en
heal.identifier.primary	10.2514/3.25197	en
heal.identifier.secondary	http://dx.doi.org/10.2514/3.25197	en
heal.language	English	en
heal.publicationDate	1990	en
heal.abstract	The nonlinear dynamic stability of simple nonlinearly elastic systems with or without viscous damping under step loading of infinite or finite duration is discussed. The analysis refers to discrete structural systems with one or two degrees of freedom which, under the action of the same loading applied statically, lose their stability by snapping. Considering the stability of motion in the large, in the sense of Lagrange, conditions for a bounded or an unbounded motion and thereby dynamic buckling criteria are properly established for one degree-of-freedom systems. It is found that, regardless of the length of time of loading application as well as regardless of whether or not damping is included, the motion ceases to be bounded when the phase-point velocity vanishes. Using this criterion, exact or approximate (lower bound) dynamic buckling loads for damped or undamped systems under step loading of infinite or finite duration can be obtained without solving the strongly nonlinear differential equation of motion.	en
heal.publisher	AMER INST AERONAUT ASTRONAUT	en
heal.journalName	AIAA Journal	en
dc.identifier.doi	10.2514/3.25197	en
dc.identifier.isi	ISI:A1990DN14100014	en
dc.identifier.volume	28	en
dc.identifier.issue	7	en
dc.identifier.spage	1217	en
dc.identifier.epage	1223	en