Dynamic analysis of plates stiffened by parallel beams

Sapountzakis, EJ; Mokos, VG

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Mokos, VG	en
dc.date.accessioned	2014-03-01T02:51:05Z
dc.date.available	2014-03-01T02:51:05Z
dc.date.issued	2007	en
dc.identifier.issn	17433509	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/35348
dc.subject	Dynamic analysis	en
dc.subject	Nonuniform torsion	en
dc.subject	Reinforced plate with beams	en
dc.subject	Ribbed plate	en
dc.subject	Slab-and-beam structure	en
dc.subject	Vibrations	en
dc.subject	Warping	en
dc.subject.other	Dynamic analysis	en
dc.subject.other	Mathematical models	en
dc.subject.other	Numerical methods	en
dc.subject.other	Stiffness	en
dc.subject.other	Vibrations (mechanical)	en
dc.subject.other	Flexibility matrix	en
dc.subject.other	Nonuniform torsion	en
dc.subject.other	Reinforced plate	en
dc.subject.other	Plates (structural components)	en
dc.subject.other	deformation mechanism	en
dc.subject.other	dynamic analysis	en
dc.subject.other	numerical method	en
dc.subject.other	torsion	en
dc.subject.other	vibration	en
dc.title	Dynamic analysis of plates stiffened by parallel beams	en
heal.type	conferenceItem	en
heal.identifier.primary	10.2495/ERES070421	en
heal.identifier.secondary	http://dx.doi.org/10.2495/ERES070421	en
heal.publicationDate	2007	en
heal.abstract	In this paper a general solution for the dynamic analysis of plates stiffened by arbitrarily placed parallel beams of arbitrary cross section subjected to an arbitrary dynamic loading is presented. According to the proposed model, the stiffening beams are isolated from the plate by sections in the lower outer surface of the plate, taking into account the arising tractions in all directions at the fictitious interfaces. The aforementioned integrated tractions result in the loading of the beams as well as the additional loading of the plate. Their distribution is established by applying continuity conditions in all directions at the interfaces. The analysis of both the plate and the beams is accomplished on their deformed shape taking into account second-order effects. The method of analysis is based on the capability to establish a flexibility matrix with respect to a set of nodal mass points, while a lumped mass matrix is constructed from the tributary mass areas to these mass points. Both free and forced damped or undamped transverse vibrations are considered and numerical examples with great practical interest are presented. The discrepancy in the obtained eigenfrequencies using the presented analysis (which approximates better the actual response of the plate-beams system since it permits the evaluation of the shear forces at the interfaces in both directions) and the corresponding ones ignoring the inplane forces and deformations justify the analysis based on the proposed model.	en
heal.journalName	WIT Transactions on the Built Environment	en
dc.identifier.doi	10.2495/ERES070421	en
dc.identifier.volume	93	en
dc.identifier.spage	443	en
dc.identifier.epage	452	en