Non-linear and buckling analysis of bars lying on an elastic foundation

Panayotounakos, DE

dc.contributor.author	Panayotounakos, DE	en
dc.date.accessioned	2014-03-01T01:07:32Z
dc.date.available	2014-03-01T01:07:32Z
dc.date.issued	1989	en
dc.identifier.issn	0020-7462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10055
dc.subject.classification	Mechanics	en
dc.subject.other	Foundations--Elasticity	en
dc.subject.other	Mathematical Techniques--Differential Equations	en
dc.subject.other	Structural Analysis	en
dc.subject.other	Engineering Structures	en
dc.subject.other	Nonlinear Buckling	en
dc.subject.other	Quantitative Analysis	en
dc.subject.other	Bars	en
dc.title	Non-linear and buckling analysis of bars lying on an elastic foundation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0020-7462(89)90047-4	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0020-7462(89)90047-4	en
heal.language	English	en
heal.publicationDate	1989	en
heal.abstract	In this investigation a closed-form solution of the non-linear and buckling analysis of a thin and long straight bar, lying on an elastic foundation, is achieved by means of a strict mathematical procedure concerning the solution of the strongly non-linear differential equation θ″″ + 3θ′θ″′ tan θ + (1 + 3tan2θ)θ′2θ″ + θ″2 tan θ (λ1″/cosθ) + +(λ2θ′2 tan θ/ cos θ) = λ3sin θ cos2θ; (λ1;λ2;λ3; = constants), which governs the deflected elastica of the structure. This solution is constructed for values of the slope ≡ lying inside the interval [0°, 40°), because this interval is of practical interest for engineering structures, and, futhermore, the proposed approximations herein are accurate enough for this interval. Several functional transformations are used and a quantitative analysis is developed yielding reliable results, in conformity with the physical problem. The functional transformations introduced are original and useful in succeeding to solve similar problems in non-linear elasticity. © 1989.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Non-Linear Mechanics	en
dc.identifier.doi	10.1016/0020-7462(89)90047-4	en
dc.identifier.isi	ISI:A1989AT54900004	en
dc.identifier.volume	24	en
dc.identifier.issue	4	en
dc.identifier.spage	295	en
dc.identifier.epage	307	en