NONLINEAR AND BUCKLING ANALYSIS OF CONTINUOUS BARS LYING ON RIGID SUPPORTS.

Panayotounakos, DE; Theocaris, PS

dc.contributor.author	Panayotounakos, DE	en
dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:06:38Z
dc.date.available	2014-03-01T01:06:38Z
dc.date.issued	1986	en
dc.identifier.issn	0001-1452	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9519
dc.subject.classification	Engineering, Aerospace	en
dc.subject.other	STRUCTURAL ANALYSIS	en
dc.subject.other	THEORY OF ELASTICA	en
dc.subject.other	THREE-MOMENT BENDING EQUATION	en
dc.subject.other	BARS	en
dc.title	NONLINEAR AND BUCKLING ANALYSIS OF CONTINUOUS BARS LYING ON RIGID SUPPORTS.	en
heal.type	journalArticle	en
heal.identifier.primary	10.2514/3.9293	en
heal.identifier.secondary	http://dx.doi.org/10.2514/3.9293	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 rigid supports is presented. Through the derived closed-form solutions of the equilibrium differential equations for each span, a nonlinear (transcendental) system of 3(q minus 1) equations with 4(q minus 1) unknowns was formulated. This system was further enriched by (q minus 2) additional three-moment equations based on convenient compatibility conditions. The solution methodology was achieved by selecting values for the slope of the deflection of the first support, as well as for the elliptic integral appearing in the previous solutions (for the first member). Applications of the proposed methodology to continuous bars on three rigid supports and several numerical examples are given.	en
heal.publisher	AMER INST AERONAUT ASTRONAUT	en
heal.journalName	AIAA journal	en
dc.identifier.doi	10.2514/3.9293	en
dc.identifier.isi	ISI:A1986A236800021	en
dc.identifier.volume	24	en
dc.identifier.issue	3	en
dc.identifier.spage	479	en
dc.identifier.epage	484	en