Exact parametric analytic solutions of the elastica ODEs for bars including effects of the transverse deformation

Sotiropoulou, AB; Panayotounakos, DE

dc.contributor.author	Sotiropoulou, AB	en
dc.contributor.author	Panayotounakos, DE	en
dc.date.accessioned	2014-03-01T01:20:26Z
dc.date.available	2014-03-01T01:20:26Z
dc.date.issued	2004	en
dc.identifier.issn	0020-7462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15921
dc.subject	Buckling	en
dc.subject	Elastica	en
dc.subject	Exact parametric solutions	en
dc.subject	Non-linear ODEs	en
dc.subject.classification	Mechanics	en
dc.subject.other	Bars (metal)	en
dc.subject.other	Buckling	en
dc.subject.other	Compressive strength	en
dc.subject.other	Deflection (structures)	en
dc.subject.other	Nonlinear systems	en
dc.subject.other	Numerical methods	en
dc.subject.other	Ordinary differential equations	en
dc.subject.other	Parameter estimation	en
dc.subject.other	Problem solving	en
dc.subject.other	Shear deformation	en
dc.subject.other	Eccentric buckling	en
dc.subject.other	Elastica	en
dc.subject.other	Exact parametric solutions	en
dc.subject.other	Transverse deformation	en
dc.subject.other	Elastic moduli	en
dc.title	Exact parametric analytic solutions of the elastica ODEs for bars including effects of the transverse deformation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijnonlinmec.2003.09.004	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijnonlinmec.2003.09.004	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	We succeed in constructing exact parametric analytic solutions for the non-linear ordinary differential equations governing the elastica response of a cantilever due to a generalized end loading by taking into account the effects of transverse deformation. Application to the case of the eccentric buckling of a cantilever by taking into account the above influences is developed. (C) 2003 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Non-Linear Mechanics	en
dc.identifier.doi	10.1016/j.ijnonlinmec.2003.09.004	en
dc.identifier.isi	ISI:000223452600002	en
dc.identifier.volume	39	en
dc.identifier.issue	10	en
dc.identifier.spage	1555	en
dc.identifier.epage	1570	en