A mixed beam model with non-uniform warpings derived from the Saint Venànt rod

Genoese, Alessandra; Bilotta, Antonio; Garcea, Giovanni

doi:10.1016/j.compstruc.2013.03.017

Cited by 55 publications

(32 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is worth here noting that the shear stresses generated by the above displacement considerations exhibit an inconsistency concerning the non-vanishing of tractions xn τ on the lateral surface of the beam [22,49,50]. As shown in previous studies, this inconsistency may be responsible for non-negligible errors in estimated normal stress values.…”

Section: Displacement Strain and Stress Componentsmentioning

confidence: 92%

“…Nonuniform warping distributions are taken into account by using four independent warping parameters multiplying a shear warping function in each direction [49][50] and two torsional warping functions, which are obtained by solving corresponding boundary value problems. It is worth mentioning here that the stress field arising from the preceding kinematical considerations leads to the violation of the longitudinal local equilibrium equation and the corresponding boundary condition [22] due to inaccurate representation of shear stresses. In the current study, to keep the sim-plicity of the formulation to the highest possible level, the increment of the number of unknowns in global equilibrium is avoided and a correction of the stress field is performed with the aid of the longitudinal local equilibrium equation.…”

Section: Fig1 Normal Stress Distribution Due To Flexure (Ab) Primmentioning

confidence: 99%

See 1 more Smart Citation

Generalized Warping Effect in the Dynamic Analysis of Beams of Arbitrary Cross Section

Dikaros¹,

Sapountzakis²,

Argyridi³

et al. 2015

Proceedings of the 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

View full text Add to dashboard Cite

show abstract

Section: Displacement Strain and Stress Componentsmentioning

confidence: 92%

Section: Fig1 Normal Stress Distribution Due To Flexure (Ab) Primmentioning

confidence: 99%

Generalized Warping Effect in the Dynamic Analysis of Beams of Arbitrary Cross Section

Dikaros¹,

Sapountzakis²,

Argyridi³

et al. 2015

Proceedings of the 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

View full text Add to dashboard Cite

show abstract

“…Refer to [27,28] for more details. The construction of the 3D elastic domain for each beam section is obtained using the approach initially proposed in [5] and recently extended in [24] (see also [3]) and then it is described in terms of the Minkowski sum of ellipsoids.…”

Section: The 3d Beam Modelmentioning

confidence: 99%

“…where the coefficients of the cross-section compliance matrix H can be obtained as in [29,27,30] (see also [31,32] for the extension to generic anisotropic materials).…”

Section: Beam Kinematics and Staticsmentioning

confidence: 99%

See 1 more Smart Citation

Effective treatment of complex statical and dynamical load combinations within shakedown analysis of 3D frames

Leonetti

Casciaro

Garcea

2015

Computers & Structures

Self Cite

View full text Add to dashboard Cite

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

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.

show abstract

A mixed beam model with non-uniform warpings derived from the Saint Venànt rod

Cited by 55 publications

References 24 publications

Generalized Warping Effect in the Dynamic Analysis of Beams of Arbitrary Cross Section

Generalized Warping Effect in the Dynamic Analysis of Beams of Arbitrary Cross Section

Effective treatment of complex statical and dynamical load combinations within shakedown analysis of 3D frames

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

Contact Info

Product

Resources

About