Dynamic analysis of elastic plates reinforced with beams of doubly-symmetrical cross section

Sapountzakis, EJ; Katsikadelis, JT

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Katsikadelis, JT	en
dc.date.accessioned	2014-03-01T01:14:32Z
dc.date.available	2014-03-01T01:14:32Z
dc.date.issued	1999	en
dc.identifier.issn	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13129
dc.subject	Cross Section	en
dc.subject	Dynamic Analysis	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Beams and girders	en
dc.subject.other	Bending (deformation)	en
dc.subject.other	Dynamic response	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Elasticity	en
dc.subject.other	Model structures	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Plates (structural components)	en
dc.subject.other	Reinforcement	en
dc.subject.other	Analog equation method	en
dc.subject.other	Elastic plates	en
dc.subject.other	Flexibility matrix	en
dc.subject.other	Forced transverse vibrations	en
dc.subject.other	Plate beam systems	en
dc.subject.other	Structural analysis	en
dc.title	Dynamic analysis of elastic plates reinforced with beams of doubly-symmetrical cross section	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s004660050422	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s004660050422	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	In this paper a solution to the dynamic problem of elastic plates reinforced with beams of doubly - symmetrical cross section is presented. The adopted model takes into account the resulting inplane forces and deformations of the plate as well as the axial forces and deformations of the beam, due to combined response of the system. The analysis consists in isolating the beams from the plate by sections parallel to the lower outer surface of the plate. The method of analysis is based on the capability to establish a flexibility matrix with respect to a set of nodal mass points using the Analog Equation Method (AEM) for the static plate problem. A lumped mass matrix is constructed from the tributary mass areas to the nodal mass points. Both free and forced 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, and the corresponding ones ignoring the inplane forces and deformations justify the analysis based on the proposed model.	en
heal.publisher	Springer-Verlag GmbH & Company KG, Berlin, Germany	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/s004660050422	en
dc.identifier.isi	ISI:000081238800007	en
dc.identifier.volume	23	en
dc.identifier.issue	5	en
dc.identifier.spage	430	en
dc.identifier.epage	439	en