Exact solution of the non-linear differential equation concerning the elastic line of a straight rod due to terminal loading

Theocaris, PS; Panayotounakos, DE

dc.contributor.author	Theocaris, PS	en
dc.contributor.author	Panayotounakos, DE	en
dc.date.accessioned	2014-03-01T01:06:04Z
dc.date.available	2014-03-01T01:06:04Z
dc.date.issued	1982	en
dc.identifier.issn	0020-7462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9141
dc.subject	Exact Solution	en
dc.subject	Linear Differential Equation	en
dc.subject.classification	Mechanics	en
dc.subject.other	BEAMS AND GIRDERS - Buckling	en
dc.subject.other	MATHEMATICAL TECHNIQUES - Differential Equations	en
dc.subject.other	RODS	en
dc.subject.other	ELASTICITY	en
dc.title	Exact solution of the non-linear differential equation concerning the elastic line of a straight rod due to terminal loading	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0020-7462(82)90009-9	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0020-7462(82)90009-9	en
heal.language	English	en
heal.publicationDate	1982	en
heal.abstract	In this paper a closed-form solution of the differential equation - λ1y″ (1+y′2)3 2- λ2y′y″ (1+y′2)3 2-= α(y + bx + c) related to the elastic line of a straight thin rod due to a terminal co-planar loading, is obtained. Based on this solution, the problem of eccentric buckling of the same rod, taking into account the influence of transverse shear deformations, is examined. © 1982.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Non-Linear Mechanics	en
dc.identifier.doi	10.1016/0020-7462(82)90009-9	en
dc.identifier.isi	ISI:A1982PZ07300009	en
dc.identifier.volume	17	en
dc.identifier.issue	5-6	en
dc.identifier.spage	395	en
dc.identifier.epage	402	en