Forced motions of cantilever planar-curved bars considered as discrete systems by the flexibility method

Panayotounakos, DE

dc.contributor.author	Panayotounakos, DE	en
dc.date.accessioned	2014-03-01T01:06:10Z
dc.date.available	2014-03-01T01:06:10Z
dc.date.issued	1983	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9205
dc.subject	Differential Equation	en
dc.subject	Discrete System	en
dc.subject	Exact Solution	en
dc.subject	Natural Frequency	en
dc.subject	Shear Force	en
dc.subject	Three Dimensional	en
dc.subject.classification	Mechanics	en
dc.subject.other	BARS - Elasticity	en
dc.subject.other	BEAMS AND GIRDERS	en
dc.title	Forced motions of cantilever planar-curved bars considered as discrete systems by the flexibility method	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01170444	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01170444	en
heal.language	English	en
heal.publicationDate	1983	en
heal.abstract	The present paper deals with the problem of three-dimensional forced harmonic motions of a cantilever planar-curved bar being considered as a discrete system of-n-points of mass. At these points the mass of the bar is supposed as being lumped under the form of small rectangular parallelepipeds, so that the influences of shearing forces and rotatory inertias to be taken into account. In the beginning, the generalized flexibility matrix of the system is formulated; then, based on this matrix, two independent vectorial differential equations of forced harmonic vibrations of the bar are constructed and their exact solutions are derived. Finally, as an application of the method the generalized flexibility matrix of a cantilever circular bar is formulated and the natural frequencies of the system are calculated when a small cubic body being attached at its free end is vibrating vertically to the plane of the bar. © 1983 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/BF01170444	en
dc.identifier.isi	ISI:A1983RY67500008	en
dc.identifier.volume	50	en
dc.identifier.issue	1-2	en
dc.identifier.spage	105	en
dc.identifier.epage	118	en