Analytic Solutions for Nonlinear Differential Equations Describing the Elastica of Straight Bars: Theory

Panayotounakos, DE; Theocaris, PS

dc.contributor.author	Panayotounakos, DE	en
dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:07:05Z
dc.date.available	2014-03-01T01:07:05Z
dc.date.issued	1988	en
dc.identifier.issn	0016-0032	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9780
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0023849183&partnerID=40&md5=8631d0190f61b0661396ce1a2bcfd538	en
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	BEAMS AND GIRDERS - Bending	en
dc.subject.other	MATHEMATICAL TECHNIQUES - Differential Equations	en
dc.subject.other	ELASTICA CONFIGURATION	en
dc.subject.other	END FORCES	en
dc.subject.other	BARS	en
dc.title	Analytic Solutions for Nonlinear Differential Equations Describing the Elastica of Straight Bars: Theory	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1988	en
heal.abstract	The nonlinear differential equations governing the elastica configuration of a long and flexible straight bar are solved, when the bar is subjected to compression and bending developed by end forces and coupled together with a uniformly distributed transverse load. For achieving a straightforward analytic solution of this complicated mode of loading, several convenient functional transformations are introduced. A quantitative analysis of the governing equations is found to be in agreement with the physical problem. © 1988.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Journal of the Franklin Institute	en
dc.identifier.isi	ISI:A1988P216100007	en
dc.identifier.volume	325	en
dc.identifier.issue	5	en
dc.identifier.spage	621	en
dc.identifier.epage	633	en