Shear deformation effect in nonlinear analysis of spatial beams subjected to variable axial loading by BEM

Sapountzakis, EJ; Mokos, VG

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Mokos, VG	en
dc.date.accessioned	2014-03-01T02:50:53Z
dc.date.available	2014-03-01T02:50:53Z
dc.date.issued	2006	en
dc.identifier.issn	1743355X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/35181
dc.subject	Beam	en
dc.subject	Boundary element method	en
dc.subject	Nonlinear analysis	en
dc.subject	Second order analysis	en
dc.subject	Shear center	en
dc.subject	Shear deformation coefficients	en
dc.subject	Transverse shear stresses	en
dc.subject.other	Boundary element method	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Numerical methods	en
dc.subject.other	Shear deformation	en
dc.subject.other	Analog Equation Method	en
dc.subject.other	Second order analysis	en
dc.subject.other	Shear center	en
dc.subject.other	Shear deformation coefficients	en
dc.subject.other	Transverse shear stresses	en
dc.subject.other	Nonlinear analysis	en
dc.title	Shear deformation effect in nonlinear analysis of spatial beams subjected to variable axial loading by BEM	en
heal.type	conferenceItem	en
heal.identifier.primary	10.2495/BE06011	en
heal.identifier.secondary	http://dx.doi.org/10.2495/BE06011	en
heal.publicationDate	2006	en
heal.abstract	In this paper a boundary element method is developed for the nonlinear analysis of beams of arbitrary doubly symmetric simply or multiply connected constant cross section, taking into account shear deformation effect. 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 Analog Equation Method, a BEM based method. 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 both the shear deformation effect and the variableness of the axial loading are remarkable.	en
heal.journalName	WIT Transactions on Modelling and Simulation	en
dc.identifier.doi	10.2495/BE06011	en
dc.identifier.volume	42	en
dc.identifier.spage	101	en
dc.identifier.epage	110	en