Nonlinear dynamic buckling of a viscoelastic model under impact loading

Kounadis, AN; Raftoyiannis, J; Mallis, J

dc.contributor.author	Kounadis, AN	en
dc.contributor.author	Raftoyiannis, J	en
dc.contributor.author	Mallis, J	en
dc.date.accessioned	2014-03-01T01:39:38Z
dc.date.available	2014-03-01T01:39:38Z
dc.date.issued	1989	en
dc.identifier.issn	08949166	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/22907
dc.subject	impact loading	en
dc.subject	nonlinear dynamic buckling	en
dc.subject	viscoelastic	en
dc.title	Nonlinear dynamic buckling of a viscoelastic model under impact loading	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02208211	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02208211	en
heal.publicationDate	1989	en
heal.abstract	A simple nonlinear buckling analysis is applied to a one-degree-of-freedom arch under impact loading in which viscous damping may also be included. Such a loading consists of a falling body striking centrally the joint mass of the arch in such a way that a completely plastic impact can be postulated. When there is no damping the exact dynamic buckling load for such a kind of loading-associated with an unbounded motion can be established by using a static criterion (approach). More specifically, it was shown that the dynamic buckling load corresponds to that unstable equilibrium state where the total potential energy of the system is zero. Furthermore, it was proved that the second variation of the total potential energy at the foregoing unstable equilibrium state is negative definite. This implies that the curve ""loading versus displacement"" resulting by the vanishing of the total potential energy has always a maximum on the afore mentioned unstable state. It was also found that the system may become sensitive to initial conditions. If damping is included the foregoing static criterion yields lower bound buckling estimates. These findings were verified by employing a highly efficient approximate technique as well as the numerical scheme of Runge-Kutta for solving any nonlinear initial-value problem. © 1989 HUST and Pergamon Press.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Acta Mechanica Solida Sinica	en
dc.identifier.doi	10.1007/BF02208211	en
dc.identifier.volume	2	en
dc.identifier.issue	3	en
dc.identifier.spage	331	en
dc.identifier.epage	347	en