Warping Transmission in 3-D Beam Element Including Secondary Torsional Moment Deformation Effect

Sapountzakis, E. J.; Tsipiras, V.J.; Gkesos, Pavlos G.

doi:10.7712/130113.4405.s2030

Cited by 1 publication

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References 17 publications

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“…Toward improving conventional beam elements in order to include nonuniform warping effects, 14 × 14 stiffness matrices have been proposed incorporating nonuniform torsion. The additional DOF in each element node concerns either the rate of change of the total angle of twist or an independent warping parameter, thus taking into account STSDE as well . As far as shear lag effects in flexure are concerned, expanded stiffness matrices have been proposed as well, most of which employ the assumptions of thin tube theory (TTT) .…”

Section: Introductionmentioning

confidence: 99%

Advanced 3D beam element of arbitrary composite cross section including generalized warping effects

Sapountzakis

Dikaros

2015

Numerical Meth Engineering

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SummaryIn this paper, an advanced 20 × 20 stiffness matrix and the corresponding nodal load vector of a member of arbitrary composite cross section is developed taking into account shear lag effects due to both flexure and torsion (the case of the three‐dimensional beam element of arbitrary homogeneous cross section is treated as a special one). The composite member consists of materials in contact each of which can surround a finite number of inclusions. Nonuniform warping distributions are taken into account by employing four independent warping parameters multiplying a shear warping function in each direction and two torsional warping functions. Ten boundary value problems with respect to the kinematical components are formulated and solved employing the analog equation method, a BEM‐based technique. The aforementioned boundary value problems are formulated employing either an improved stress field arising from the correction of shear stress components or the stress field arising directly from displacement considerations. The warping functions and the geometric constants including the additional ones due to warping are evaluated employing a pure BEM approach, that is, only boundary discretization of the cross section is used. Numerical results are presented to illustrate the method and demonstrate its efficiency and accuracy. The deviations arising from the use of the advanced 20 × 20 stiffness matrix and the classical 12 × 12 or 14 × 14 ones employed in commercial software packages are illustrated through examples of great practical interest. Moreover, the influence of nonuniform warping effects necessitating the use of the aforementioned ‘advanced’ stiffness matrix is also demonstrated. Copyright © 2015 John Wiley & Sons, Ltd.

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Section: Introductionmentioning

confidence: 99%

Advanced 3D beam element of arbitrary composite cross section including generalized warping effects

Sapountzakis

Dikaros

2015

Numerical Meth Engineering

View full text Add to dashboard Cite

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Warping Transmission in 3-D Beam Element Including Secondary Torsional Moment Deformation Effect

Abstract: Abstract. In this paper a 3-D beam element including shear and secondary torsional moment

Cited by 1 publication

References 17 publications

Advanced 3D beam element of arbitrary composite cross section including generalized warping effects

Advanced 3D beam element of arbitrary composite cross section including generalized warping effects

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