Buckling 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	2014-03-01T02:45:59Z
dc.date.available	2014-03-01T02:45:59Z
dc.date.issued	2009	en
dc.identifier.issn	1546-2218	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/32502
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-84858385587&partnerID=40&md5=14a418a7631f176a39af873dede4f0fe	en
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-77449094220&partnerID=40&md5=f6d1cf869608ebe919d67b49c06a39cd	en
dc.subject	Boundary element method	en
dc.subject	Buckling nonuniform torsion	en
dc.subject	Ribbed plate	en
dc.subject	Slab-and-beam structure	en
dc.subject	Stiffened plate	en
dc.subject	Warping	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Materials Science, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Analog equation methods	en
dc.subject.other	Buckling analysis	en
dc.subject.other	Buckling loads	en
dc.subject.other	Continuity conditions	en
dc.subject.other	Cross section	en
dc.subject.other	Deformed shape	en
dc.subject.other	Eigenvalue problem	en
dc.subject.other	Elastic buckling	en
dc.subject.other	FEM solutions	en
dc.subject.other	General solutions	en
dc.subject.other	Geometric stiffness	en
dc.subject.other	Inplane loading	en
dc.subject.other	Method of analysis	en
dc.subject.other	Nodal points	en
dc.subject.other	Numerical example	en
dc.subject.other	Outer surface	en
dc.subject.other	Parallel beams	en
dc.subject.other	Ribbed plate	en
dc.subject.other	Slab-and-beam structure	en
dc.subject.other	Stiffened plate	en
dc.subject.other	Warping	en
dc.subject.other	Boundary element method	en
dc.subject.other	Buckling	en
dc.subject.other	Computer aided engineering	en
dc.subject.other	Differential equations	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Environmental engineering	en
dc.subject.other	Loading	en
dc.subject.other	Stiffness matrix	en
dc.subject.other	Three dimensional	en
dc.subject.other	Traction (friction)	en
dc.subject.other	Plates (structural components)	en
dc.title	Buckling analysis of plates stiffened by parallel beams	en
heal.type	conferenceItem	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	In this paper a general solution for the elastic buckling analysis of plates stiffened by arbitrarily placed parallel beams of arbitrary doubly symmetric cross section subjected to an arbitrary inplane 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. These tractions are integrated with respect to each half of the interface width resulting two interface lines, along which the loading of the beams as well as the additional loading of the plate is defined. The unknown distribution of the aforementioned integrated tractions is established by applying continuity conditions in all directions at the two interface lines, while the analysis of both the plate and the beams is accomplished on their deformed shape. The method of analysis is based on the capability to establish the elastic and the corresponding geometric stiffness matrices of the stiffened plate with respect to a set of nodal points. Thus, the original eigenvalue problem for the differential equation of buckling is converted into a typical linear eigenvalue problem, from which the buckling loads are established numerically. For the calculation of the elastic and geometric stiffness matrices six boundary value problems are formulated and solved using the Analog Equation Method (AEM), a BEM-based method. Numerical examples with practical interest are presented. The accuracy of the results of the proposed model compared with those obtained from a 3-D FEM solution is remarkable. Copyright © 2009 Tech Science Press.	en
heal.publisher	TECH SCIENCE PRESS	en
heal.journalName	Proceedings of the 12th International Conference on Civil, Structural and Environmental Engineering Computing	en
dc.identifier.isi	ISI:000272669700004	en
dc.identifier.volume	12	en
dc.identifier.issue	2	en
dc.identifier.spage	157	en
dc.identifier.epage	195	en