Large deflection analysis of plates stiffened by parallel beams

Sapountzakis, EJ; Dikaros, IC

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Dikaros, IC	en
dc.date.accessioned	2014-03-01T02:09:29Z
dc.date.available	2014-03-01T02:09:29Z
dc.date.issued	2012	en
dc.identifier.issn	01410296	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29848
dc.subject	Bending	en
dc.subject	Boundary element method	en
dc.subject	Elastic stiffened plate	en
dc.subject	Nonlinear analysis	en
dc.subject	Nonuniform torsion	en
dc.subject	Plate reinforced with beams	en
dc.subject	Ribbed plate	en
dc.subject	Slab-and-beam structure	en
dc.subject	Warping	en
dc.subject.other	Boundary elements	en
dc.subject.other	Elastic stiffened plate	en
dc.subject.other	Nonuniform torsion	en
dc.subject.other	Plate reinforced	en
dc.subject.other	Ribbed plate	en
dc.subject.other	Slab-and-beam structure	en
dc.subject.other	Warping	en
dc.subject.other	Bending (forming)	en
dc.subject.other	Boundary element method	en
dc.subject.other	Nonlinear analysis	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Plates (structural components)	en
dc.subject.other	Prestressed beams and girders	en
dc.subject.other	Traction (friction)	en
dc.subject.other	Loading	en
dc.subject.other	analog model	en
dc.subject.other	bending	en
dc.subject.other	boundary element method	en
dc.subject.other	construction material	en
dc.subject.other	geometry	en
dc.subject.other	kinematics	en
dc.subject.other	numerical model	en
dc.subject.other	shear strength	en
dc.subject.other	shear stress	en
dc.subject.other	steel structure	en
dc.subject.other	stiffness	en
dc.subject.other	structural analysis	en
dc.subject.other	structural component	en
dc.subject.other	structural response	en
dc.title	Large deflection analysis of plates stiffened by parallel beams	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.engstruct.2011.11.008	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.engstruct.2011.11.008	en
heal.publicationDate	2012	en
heal.abstract	In this paper a general solution to the geometrically nonlinear analysis of plates stiffened by arbitrarily placed parallel beams of arbitrary doubly symmetric cross section, subjected to arbitrary loading is presented. The plate-beam structure is assumed to undergo moderate large deflections and the nonlinear analysis is carried out by retaining nonlinear terms in the kinematical relations. According to the proposed model, the stiffening beams are isolated from the plate by sections in the lower outer surface of the plate, while the arising tractions in all directions at the fictitious interfaces are taken into account. These tractions are integrated with respect to each half of the interface width, yielding two interface lines along which the loading of the beams as well as the additional loading of the plate is defined. Their unknown distribution is established by applying continuity conditions at the interfaces, in all directions. The utilization of two interface lines for each beam enables the nonuniform distribution of the interface transverse shear forces and the nonuniform torsional response of the beams to be taken into account. Six boundary value problems are formulated and solved using the Analog Equation Method (AEM), a BEM based method. Application of the boundary element technique leads to a system of nonlinear and coupled algebraic equations which is solved using iterative numerical methods. The adopted model permits the evaluation of the shear forces at the interfaces in both directions, the knowledge of which is very important in the design of prefabricated ribbed plates. © 2011 Elsevier Ltd.	en
heal.journalName	Engineering Structures	en
dc.identifier.doi	10.1016/j.engstruct.2011.11.008	en
dc.identifier.volume	35	en
dc.identifier.spage	254	en
dc.identifier.epage	271	en