On the free motions of a uniform elastic helicoidal bar

Panayotounakos, DE

dc.contributor.author	Panayotounakos, DE	en
dc.date.accessioned	2014-03-01T01:06:27Z
dc.date.available	2014-03-01T01:06:27Z
dc.date.issued	1985	en
dc.identifier.issn	00256455	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9386
dc.title	On the free motions of a uniform elastic helicoidal bar	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02337634	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02337634	en
heal.publicationDate	1985	en
heal.abstract	A thorough and rigorous analysis for the decoupling of a first-order partial differential system of four (3×1)-vectorial equations (with constant coefficients), governing the free three-dimensional dynamic equilibrium of an arc element of an elastic circular helicoidal bar, is presented. Through this decoupling procedure the equivalent to the system differential equation, with respect to one of the generalized displacements, results of the twelfth-order. Under the assumption that the general integral of this equation is given and for the most general case of response, the transcendental equation for the determination of the natural frequencies of the system is formulated. Finally, as an application on the method and under some restrictions the general integral of the differential equation of harmonic motions of an elastic helicoidal bar is determined in the form of elementary functions. © 1985 Pitagora Editrice Bologna.	en
heal.publisher	Kluwer Academic Publishers	en
heal.journalName	Meccanica	en
dc.identifier.doi	10.1007/BF02337634	en
dc.identifier.volume	20	en
dc.identifier.issue	2	en
dc.identifier.spage	151	en
dc.identifier.epage	159	en