Nonlinear and buckling analysis of continuous bars lying on elastic supports, based on the theory of elastica

Panayotounakos, DE

dc.contributor.author	Panayotounakos, DE	en
dc.date.accessioned	2014-03-01T01:06:35Z
dc.date.available	2014-03-01T01:06:35Z
dc.date.issued	1986	en
dc.identifier.issn	0020-1154	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9487
dc.subject	Nonlinear Equation	en
dc.subject	Nonlinear System	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mechanics	en
dc.subject.other	BEAMS AND GIRDERS - Elasticity	en
dc.subject.other	SPACE PLATFORMS - Structural Design	en
dc.subject.other	STRUCTURAL ANALYSIS - Dynamic Response	en
dc.subject.other	ELASTIC STABILITY	en
dc.subject.other	POSTBUCKLING	en
dc.subject.other	SHEAR DEFORMATION	en
dc.subject.other	BARS	en
dc.title	Nonlinear and buckling analysis of continuous bars lying on elastic supports, based on the theory of elastica	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02570615	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02570615	en
heal.language	English	en
heal.publicationDate	1986	en
heal.abstract	Based on the theory of elastica, a parametric solution for the problem of nonlinear and buckling analysis of continuous bars on elastic supports was presented. This problem, for the case of a continuous bar on rigid supports not on the same level, led to a nonlinear system of 3(q-1)-equations with 4(q-1)-unknowns, which was further enriched by (q-2) three-moment nonlinear equations based on convenient compatibility conditions. Furthermore, for the case of elastic supports, q-additional nonlinear equations were formulated including the deflections and the spring constants of the supports. Applications of the proposed methodology in solving the previous systems were examined and several numerical results were derived. © 1986 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Ingenieur-Archiv	en
dc.identifier.doi	10.1007/BF02570615	en
dc.identifier.isi	ISI:A1986E570800004	en
dc.identifier.volume	56	en
dc.identifier.issue	5	en
dc.identifier.spage	351	en
dc.identifier.epage	361	en