Large elastic deformations in thin rods

Panayotounakos, DE; Theocaris, PS

dc.contributor.author	Panayotounakos, DE	en
dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:05:55Z
dc.date.available	2014-03-01T01:05:55Z
dc.date.issued	1981	en
dc.identifier.issn	0020-1154	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9077
dc.subject	Ordinary Differential Equation	en
dc.subject	First Order	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mechanics	en
dc.subject.other	BARS	en
dc.title	Large elastic deformations in thin rods	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00535961	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00535961	en
heal.language	English	en
heal.publicationDate	1981	en
heal.abstract	In this paper an appropriate analytical treatment for the determination, through exact formulae, of large elastic deformations in thin skew-curved rods is presented. This problem is associated with a system of fifteen nonlinear, ordinary, differential equations of the first order; the unknowns of the system are the final curvature and torsion functions, as well as the generalized internal forces and displacements of the rod. Subsequently, the problem of a thin cantilever circular rod subjected to terminal co-planar forces is examined and closed formulae determining its generalized displacements are obtained. Finally, the effectiveness and the potentialities of the method are demonstrated by several numerical applications. © 1981 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Ingenieur-Archiv	en
dc.identifier.doi	10.1007/BF00535961	en
dc.identifier.isi	ISI:A1981MP16800012	en
dc.identifier.volume	51	en
dc.identifier.issue	1-2	en
dc.identifier.spage	139	en
dc.identifier.epage	149	en