A dynamic buckling geometric approach of 2-DOF autonomous potential lumped-mass systems under impact loading

Gantes, CJ; Kounadis, AN; Raftoyiannis, J; Bolotin, VV

dc.contributor.author	Gantes, CJ	en
dc.contributor.author	Kounadis, AN	en
dc.contributor.author	Raftoyiannis, J	en
dc.contributor.author	Bolotin, VV	en
dc.date.accessioned	2014-03-01T01:15:59Z
dc.date.available	2014-03-01T01:15:59Z
dc.date.issued	2001	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13870
dc.subject	Approximation	en
dc.subject	Dynamic buckling	en
dc.subject	Energy	en
dc.subject	Impact	en
dc.subject.classification	Mechanics	en
dc.subject.other	Buckling	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Integration	en
dc.subject.other	Kinetic energy	en
dc.subject.other	Structural loads	en
dc.subject.other	Lumped mass systems	en
dc.subject.other	Structural analysis	en
dc.subject.other	buckling	en
dc.title	A dynamic buckling geometric approach of 2-DOF autonomous potential lumped-mass systems under impact loading	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0020-7683(00)00254-7	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0020-7683(00)00254-7	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	Dynamic buckling for autonomous nondissipative lumped-mass systems under impact loading is thoroughly investigated. It is assumed that a fully plastic impact due to a striking body falling freely from a given height takes place, and that the effect of wave propagation can be neglected. Attention is focused on the post-impact dynamic buckling after establishing the initial velocities and the associated initial kinetic energy. Via a thorough discussion of the dynamic buckling mechanism based on certain salient geometric features of the total potential energy surface, one can obtain practically ""exact"" dynamic buckling loads, by extending previous findings valid for step load of infinite duration to the case of impact load. The proposed geometric approach, which is described for n-DOF systems and then presented in detail for 2-DOF systems, gives comprehensive, direct, readily obtained and reliable solutions compared to numerical integration schemes. © 2001 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Solids and Structures	en
dc.identifier.doi	10.1016/S0020-7683(00)00254-7	en
dc.identifier.isi	ISI:000168594200010	en
dc.identifier.volume	38	en
dc.identifier.issue	22-23	en
dc.identifier.spage	4071	en
dc.identifier.epage	4089	en