Dynamic buckling loads of autonomous potential systems based on the geometry of the energy surface

Kounadis, AN; Gantes, CJ; Bolotin, VV

dc.contributor.author	Kounadis, AN	en
dc.contributor.author	Gantes, CJ	en
dc.contributor.author	Bolotin, VV	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	0020-7225	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13131
dc.subject	Dissipative Structure	en
dc.subject	Dynamic Instability	en
dc.subject	Equilibrium State	en
dc.subject	Nonlinear Dynamics	en
dc.subject	Numerical Integration	en
dc.subject	Multi Degree of Freedom	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.other	Buckling	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Dynamic loads	en
dc.subject.other	Elasticity	en
dc.subject.other	Mathematical models	en
dc.subject.other	Dynamic buckling loads (DBL)	en
dc.subject.other	Structural analysis	en
dc.title	Dynamic buckling loads of autonomous potential systems based on the geometry of the energy surface	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0020-7225(98)00136-0	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0020-7225(98)00136-0	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	Nonlinear dynamic buckling of imperfection sensitive multi-degree-of-freedom (MDOF), autonomous, non-dissipative structural systems is investigated both qualitatively and quantitatively. Attention is focused on the global dynamic instability of that equilibrium state on the locally stable primary path which at a certain level of the load becomes globally unstable. This is associated with an escaped motion through the saddle (or its neighborhood with very small negative V) that corresponds to the dynamic buckling load (DBL). Such a load is closely related to the geometry of the total potential surface V in the V-displacement space. The position of the starting point of motion relative to the locally stable equilibrium and the corresponding saddle as well as the width of the zero energy curve V=0 at the saddle are directly associated with the DBL. Thus, one can avoid the numerical integration of the highly nonlinear field equations associated quite often with large time Solutions which are difficult to obtain. The efficiency and reliability of the readily applied method is comprehensively demonstrated through two mechanical models. (C) 1999 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	Elsevier Science Ltd, Exeter, United Kingdom	en
heal.journalName	International Journal of Engineering Science	en
dc.identifier.doi	10.1016/S0020-7225(98)00136-0	en
dc.identifier.isi	ISI:000082372700006	en
dc.identifier.volume	37	en
dc.identifier.issue	12	en
dc.identifier.spage	1611	en
dc.identifier.epage	1628	en