Shear deformation effect in 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	2014-03-01T02:46:31Z
dc.date.available	2014-03-01T02:46:31Z
dc.date.issued	2009	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/32690
dc.subject	Boundary element method	en
dc.subject	Dynamic analysis	en
dc.subject	Reissner's theory	en
dc.subject	Ribbed plate	en
dc.subject	Timoshenko's beam theory	en
dc.subject.classification	Mechanics	en
dc.subject.other	Analog equation methods	en
dc.subject.other	Arbitrary loading	en
dc.subject.other	Continuity conditions	en
dc.subject.other	Deformed shape	en
dc.subject.other	General solutions	en
dc.subject.other	Non-uniform distribution	en
dc.subject.other	Nonuniform	en
dc.subject.other	Outer surface	en
dc.subject.other	Parallel beams	en
dc.subject.other	Reissner's theory	en
dc.subject.other	Second order effect	en
dc.subject.other	Shear deformation effects	en
dc.subject.other	Stiffened plate	en
dc.subject.other	Timoshenko's beam theory	en
dc.subject.other	Torsional response	en
dc.subject.other	Transverse shear	en
dc.subject.other	Beams and girders	en
dc.subject.other	Dynamic analysis	en
dc.subject.other	Earthquake resistance	en
dc.subject.other	Earthquakes	en
dc.subject.other	Plates (structural components)	en
dc.subject.other	Shear deformation	en
dc.subject.other	Structures (built objects)	en
dc.subject.other	Traction (friction)	en
dc.subject.other	Boundary element method	en
dc.subject.other	boundary element method	en
dc.subject.other	cyclic loading	en
dc.subject.other	deformation	en
dc.subject.other	dynamic analysis	en
dc.subject.other	shear stress	en
dc.subject.other	stiffness	en
dc.subject.other	torsion	en
dc.title	Shear deformation effect in the dynamic analysis of plates stiffened by parallel beams	en
heal.type	conferenceItem	en
heal.identifier.primary	10.2495/ERES090331	en
heal.identifier.secondary	http://dx.doi.org/10.2495/ERES090331	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	In this paper a general solution for the dynamic analysis of shear-deformable stiffened plates subjected to arbitrary loading is presented. According to the proposed model, the arbitrarily placed parallel 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 in 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. The analysis of both the plate and the beams is accomplished on their deformed shape taking into account the second-order effects. The analysis of the plate is based on Reissner's theory, which may be considered as the standard thick plate theory with which all others are compared, while the analysis of the beams is performed employing the linearized second-order theory taking into account the shear deformation effect. 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, a BEM-based method. Both free and forced damped or undamped transverse vibrations are considered and numerical examples with great practical interest are presented demonstrating the effectiveness, the range of applications of the proposed method and the influence of the shear deformation effect. © 2008 Springer-Verlag.	en
heal.publisher	SPRINGER WIEN	en
heal.journalName	WIT Transactions on the Built Environment	en
dc.identifier.doi	10.2495/ERES090331	en
dc.identifier.isi	ISI:000265388300008	en
dc.identifier.volume	104	en
dc.identifier.issue	3-4	en
dc.identifier.spage	357	en
dc.identifier.epage	366	en