Large elastic deformations in thin cantilever rods due to concentrated loadings

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	0020-7462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9076
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0019392502&partnerID=40&md5=c27763a6bd2f250c60be0d1ce0d4a9f0	en
dc.subject.classification	Mechanics	en
dc.subject.other	RODS	en
dc.subject.other	ELASTICITY	en
dc.title	Large elastic deformations in thin cantilever rods due to concentrated loadings	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1981	en
heal.abstract	In this paper the problem of large elastic deformations in cantilever thin rods subjected to concentrated loads is considered. Taking into account the incompressibility assumption of the center line and the equations relating the internal moments with the curvatures and torsion of the rod before and after the deformation, the non-linear equilibrium system, composed of six coupled differential equations of first order, is transformed to a new system of higher order. The cases of geometries of initially curved rods and their cross-sections were investigated, for which the higher order system of equations may be decoupled and solved in a closed form. Several applications of thin curved cantilever rods were made and the potentialities of the method were shown with these examples. © 1981.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Non-Linear Mechanics	en
dc.identifier.isi	ISI:A1981LM10200007	en
dc.identifier.volume	16	en
dc.identifier.issue	1	en
dc.identifier.spage	53	en
dc.identifier.epage	63	en