Eigenfrequencies and critical speeds on a beam due to travelling waves

Konstantakopoulos, TG; Raftoyiannis, IG; Michaltsos, GT

dc.contributor.author	Konstantakopoulos, TG	en
dc.contributor.author	Raftoyiannis, IG	en
dc.contributor.author	Michaltsos, GT	en
dc.date.accessioned	2014-03-01T01:30:19Z
dc.date.available	2014-03-01T01:30:19Z
dc.date.issued	2009	en
dc.identifier.issn	18741584	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19544
dc.subject	Travelling Wave	en
dc.title	Eigenfrequencies and critical speeds on a beam due to travelling waves	en
heal.type	journalArticle	en
heal.identifier.primary	10.2174/1874158400903010012	en
heal.identifier.secondary	http://dx.doi.org/10.2174/1874158400903010012	en
heal.publicationDate	2009	en
heal.abstract	A dynamic load, suddenly applied at a point of a beam, produces a local disturbance that propagates or diffuses to the rest of the beam. This propagation takes place with a speed depending on the material and geometrical characteristics of the beam. It has been demonstrated that an impulsive disturbance involving shear and moment will result in two wave types, one that propagates with the shear wave velocity and a second that propagates with a moment-wave velocity. It is observed that tampering with the cross-section of the beam may result to equal shear wave and moment-wave velocities and the two types of disturbances will travel together along with additionally interfering shear waves from beam's ends reflections. In this paper, the effect of the traveling waves on the dynamic characteristics of a beam is studied. A complete beam model is presented, which motion is governed by the Timoshenko equation. Two main cases are examined, namely a simply supported beam, and a beam resting on a Winkler-type elastic foundation. Analytical results are presented in graphical form showing the influence of the traveling waves on the eigenfrequencies and critical speeds of such a beam and useful conclusions are drawn. © Konstantakopoulos et al.	en
heal.journalName	Open Mechanics Journal	en
dc.identifier.doi	10.2174/1874158400903010012	en
dc.identifier.volume	3	en
dc.identifier.issue	1	en
dc.identifier.spage	12	en
dc.identifier.epage	19	en