An improved model for the 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	2014-03-01T01:27:54Z
dc.date.available	2014-03-01T01:27:54Z
dc.date.issued	2008	en
dc.identifier.issn	0141-0296	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18627
dc.subject	Bending	en
dc.subject	Boundary element method	en
dc.subject	Dynamic analysis	en
dc.subject	Elastic stiffened plate	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.classification	Engineering, Civil	en
dc.subject.other	Beams and girders	en
dc.subject.other	Bending (deformation)	en
dc.subject.other	Boundary element method	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Dynamic analysis	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Finite element method	en
dc.subject.other	Mathematical models	en
dc.subject.other	Shear stress	en
dc.subject.other	Structural analysis	en
dc.subject.other	Structural loads	en
dc.subject.other	Torsional stress	en
dc.subject.other	Analog equation method	en
dc.subject.other	Nonuniform torsion	en
dc.subject.other	Reinforced plate	en
dc.subject.other	Plates (structural components)	en
dc.subject.other	Beams and girders	en
dc.subject.other	Bending (deformation)	en
dc.subject.other	Boundary element method	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Dynamic analysis	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Finite element method	en
dc.subject.other	Mathematical models	en
dc.subject.other	Plates (structural components)	en
dc.subject.other	Shear stress	en
dc.subject.other	Structural analysis	en
dc.subject.other	Structural loads	en
dc.subject.other	Torsional stress	en
dc.subject.other	bending	en
dc.subject.other	boundary element method	en
dc.subject.other	dynamic analysis	en
dc.subject.other	eigenvalue	en
dc.subject.other	finite element method	en
dc.subject.other	loading	en
dc.subject.other	numerical model	en
dc.subject.other	stiffness	en
dc.subject.other	structural component	en
dc.subject.other	torsion	en
dc.subject.other	vibration	en
dc.title	An improved model for the dynamic analysis of plates stiffened by parallel beams	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.engstruct.2007.11.016	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.engstruct.2007.11.016	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	In this paper a general solution for the dynamic analysis of plates stiffened by arbitrarily placed parallel beams of arbitrary doubly symmetric 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. 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. Their unknown distribution is established by applying continuity conditions in all directions at the interfaces. 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 describing better in this way the actual response of the plate-beam system. 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. Six boundary value problems are formulated and solved using the Analog Equation Method (AEM), a BEM based method. 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-beam 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. Three additional finite element models using beam, shell or solid finite elements are also employed for the verification of the accuracy of the results of the proposed model. (c) 2007 Elsevier Ltd. All rights reserved.	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	Engineering Structures	en
dc.identifier.doi	10.1016/j.engstruct.2007.11.016	en
dc.identifier.isi	ISI:000256821600021	en
dc.identifier.volume	30	en
dc.identifier.issue	6	en
dc.identifier.spage	1720	en
dc.identifier.epage	1733	en