Geometric approach for dynamic buckling of autonomous lumped mass systems under impact

Kounadis Anthony, N

dc.contributor.author	Kounadis Anthony, N	en
dc.date.accessioned	2014-03-01T02:48:40Z
dc.date.available	2014-03-01T02:48:40Z
dc.date.issued	1998	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/34004
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0032278361&partnerID=40&md5=833d494f81bf80cac37c14fe80d372d8	en
dc.subject.other	Buckling	en
dc.subject.other	Dynamic loads	en
dc.subject.other	Dynamic response	en
dc.subject.other	Impact testing	en
dc.subject.other	Initial value problems	en
dc.subject.other	Integration	en
dc.subject.other	Autonomous lumped mass systems	en
dc.subject.other	Dynamic buckling	en
dc.subject.other	Impulse Momentum Law	en
dc.subject.other	Structural analysis	en
dc.title	Geometric approach for dynamic buckling of autonomous lumped mass systems under impact	en
heal.type	conferenceItem	en
heal.publicationDate	1998	en
heal.abstract	An efficient and readily applied geometric approach for establishing `exact' dynamic buckling loads for autonomous nondissipative/dissipative discrete systems under step loading is extended to the case of dynamic buckling of a cantilever lumped-mass system under impact loading. Fully plastic impact due to a striking body falling freely from a given height is postulated. For such a nonlinear initial-value problem, one has to determine the initial velocities which are functions of unknown quantities. These can be determined only implicitly by employing the Law of Impulse Momentum. This renders application of all powerful numerical integration schemes very difficult, in particular when a multi-parameter discussion is needed. On the contrary, the proposed geometric approach allows a direct, very simple and reliable solution.	en
heal.publisher	Computational Mechanics Inc, Billerica, MA, United States	en
heal.journalName	International Conference on Structures Under Shock and Impact, SUSI	en
dc.identifier.spage	13	en
dc.identifier.epage	29	en