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

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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 http://hdl.handle.net/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

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