Nonlinear analysis of beams of variable cross section, including shear deformation effect

Sapountzakis, EJ; Panagos, DG

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Panagos, DG	en
dc.date.accessioned	2014-03-01T01:28:52Z
dc.date.available	2014-03-01T01:28:52Z
dc.date.issued	2008	en
dc.identifier.issn	0939-1533	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19003
dc.subject	Beam	en
dc.subject	Boundary element method	en
dc.subject	Nonlinear analysis	en
dc.subject	Shear center	en
dc.subject	Shear deformation coefficients	en
dc.subject	Transverse shear stresses	en
dc.subject	Variable cross section	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary element method	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Deformation	en
dc.subject.other	Differential equations	en
dc.subject.other	Electromagnetic prospecting	en
dc.subject.other	Initial value problems	en
dc.subject.other	Nonlinear analysis	en
dc.subject.other	Shear deformation	en
dc.subject.other	Analog equation method (AEM)	en
dc.subject.other	Analysis of beams	en
dc.subject.other	Axial displacements	en
dc.subject.other	Axial loadings	en
dc.subject.other	Boundary elements	en
dc.subject.other	Boundary integration	en
dc.subject.other	Boundary values	en
dc.subject.other	Cross sectioning	en
dc.subject.other	General boundary conditions	en
dc.subject.other	Iterative processing	en
dc.subject.other	Large deflections	en
dc.subject.other	Numerical examples	en
dc.subject.other	Shear center	en
dc.subject.other	Shear deformation coefficients	en
dc.subject.other	Shear loadings	en
dc.subject.other	Stress functions	en
dc.subject.other	System of nonlinear equations	en
dc.subject.other	Timoshenko beams	en
dc.subject.other	Transverse displacements	en
dc.subject.other	Twisting moments	en
dc.subject.other	Variable cross section	en
dc.subject.other	Nonlinear equations	en
dc.title	Nonlinear analysis of beams of variable cross section, including shear deformation effect	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00419-007-0182-5	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00419-007-0182-5	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	In this paper the analog equation method (AEM), a BEM-based method, is employed for the nonlinear analysis of a Timoshenko beam with simply or multiply connected variable cross section undergoing large deflections under general boundary conditions. The beam is subjected in an arbitrarily concentrated or distributed variable axial loading, while the shear loading is applied at the shear center of the cross section, avoiding in this way the induction of a twisting moment. To account for shear deformations, the concept of shear deformation coefficients is used. Five boundary value problems are formulated with respect to the transverse displacements, the axial displacement and to two stress functions and solved using the AEM. Application of the boundary element technique yields a system of nonlinear equations from which the transverse and axial displacements are computed by an iterative process. The evaluation of the shear deformation coefficients is accomplished from the aforementioned stress functions using only boundary integration. Numerical examples with great practical interest are worked out to illustrate the efficiency, the accuracy and the range of applications of the developed method. The influence of the shear deformation effect is remarkable. © 2007 Springer-Verlag.	en
heal.publisher	SPRINGER	en
heal.journalName	Archive of Applied Mechanics	en
dc.identifier.doi	10.1007/s00419-007-0182-5	en
dc.identifier.isi	ISI:000258593700002	en
dc.identifier.volume	78	en
dc.identifier.issue	9	en
dc.identifier.spage	687	en
dc.identifier.epage	710	en