Three-dimensional forced harmonic vibrations of a uniform cantilever beam with -n- concentrated masses

Theocaris, PS; Panayotounakos, DE

dc.contributor.author	Theocaris, PS	en
dc.contributor.author	Panayotounakos, DE	en
dc.date.accessioned	2014-03-01T01:38:30Z
dc.date.available	2014-03-01T01:38:30Z
dc.date.issued	1983	en
dc.identifier.issn	02617277	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/22216
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-48749148029&partnerID=40&md5=41d2281c1269e01f2a383215e1fe6c99	en
dc.title	Three-dimensional forced harmonic vibrations of a uniform cantilever beam with -n- concentrated masses	en
heal.type	journalArticle	en
heal.publicationDate	1983	en
heal.abstract	In this investigation an exact solution for the problem of three-dimensional forced harmonic vibrations of a straight uniform cantilever beam with rotational and translational springs at its support, carrying n concentrated masses, is presented. The effects of rotatory inertias, as well as of transverse shear deformations and of a constant compressive force, acting on the free end of the beam, have also been included in the analysis. The natural frequencies and the eigenfunctions of the system are calculated, based on the Laplace transform and on generalized functions. Furthermore, the general solution of the linear partial differential equation of the fourth order with respect to x and time t, derived from this analysis, which governs the dynamic equilibrium of the beam, was achieved. Finally, a special case is examined and the resulting solutions are in agreement with existing special solutions of this particular problem. © 1983.	en
heal.journalName	International Journal of Soil Dynamics and Earthquake Engineering	en
dc.identifier.volume	2	en
dc.identifier.issue	2	en
dc.identifier.spage	83	en
dc.identifier.epage	91	en