An efficient beam element for the analysis of laminated composite beams of thin-walled open and closed cross sections

2008 ◽  
Vol 68 (10-11) ◽  
pp. 2273-2281 ◽  
Author(s):  
A SHEIKH ◽  
O THOMSEN
Keyword(s):  
Cross Sections ◽  
Laminated Composite ◽  
Beam Element ◽  
Composite Beams ◽  
Thin Walled ◽  
Laminated Composite Beams

scholarly journals Geometrically nonlinear analysis of thin-walled laminated composite beams

2015 ◽  
Vol 12 (11) ◽  
pp. 2094-2117 ◽  
Author(s):  
Luiz Antônio Taumaturgo Mororó ◽  
Antônio Macário Cartaxo de Melo ◽  
Evandro Parente Junior
Keyword(s):  
Nonlinear Analysis ◽  
Laminated Composite ◽  
Composite Beams ◽  
Geometrically Nonlinear ◽  
Geometrically Nonlinear Analysis ◽  
Thin Walled ◽  
Laminated Composite Beams

A super-convergent thin-walled 3D beam element for analysis of laminated composite structures with arbitrary cross-section

2021 ◽  
pp. 1-23
Author(s):  
M. Talele ◽  
M. van Tooren ◽  
A. Elham
Keyword(s):  
Cross Sections ◽  
Composite Structures ◽  
Three Dimensional ◽  
Laminated Composite ◽  
Beam Element ◽  
Arbitrary Cross Section ◽  
Beam Model ◽  
Cross Sectional ◽  
Thin Walled ◽  
The Cross

Abstract An efficient, fully coupled beam model is developed to analyse laminated composite thin-walled structures with arbitrary cross-sections. The Euler–Lagrangian equations are derived from the kinematic relationships for a One-Dimensional (1D) beam representing Three-Dimensional (3D) deformations that take into account the cross-sectional stiffness of the composite structure. The formulation of the cross-sectional stiffness includes all the deformation effects and related elastic couplings. To circumvent the problem of shear locking, exact solutions to the approximating Partial Differential Equations (PDEs) are obtained symbolically instead of by numerical integration. The developed locking-free composite beam element results in an exact stiffness matrix and has super-convergent characteristics. The beam model is tested for different types of layup, and the results are validated by comparison with experimental results from literature.

Vibration of thin-walled laminated composite beams having open and closed sections

2015 ◽  
Vol 134 ◽  
pp. 209-215 ◽  
Author(s):  
Abdul Hamid Sheikh ◽  
Arash Asadi ◽  
Ole Thybo Thomsen
Keyword(s):  
Laminated Composite ◽  
Composite Beams ◽  
Thin Walled ◽  
Laminated Composite Beams

An analytic solution for bending of thin-walled laminated composite beams of symmetrical open sections with influence of shear

2017 ◽  
Vol 52 (3) ◽  
pp. 190-203 ◽  
Author(s):  
Marko Vukasović ◽  
Radoslav Pavazza ◽  
Frane Vlak
Keyword(s):  
Analytic Solution ◽  
Laminated Composite ◽  
Analytic Form ◽  
Composite Beams ◽  
Transverse Load ◽  
Approximate Analytic Solution ◽  
Element Analysis ◽  
Longitudinal Plane ◽  
Thin Walled ◽  
Laminated Composite Beams

An approximate analytic solution for bending of thin-walled laminated composite beams of symmetrical open sections with influence of shear is presented. Symmetrically laminated beams that possess membrane orthotropy are considered. The classical Euler–Bernoulli’s and Timoshenko’s bending beam theories are augmented by terms which take into account the shear strain in beam mid-surface as well as the warping of the cross section due to shear. Consequently, the beam is subjected to bending with the influence of shear caused by transverse forces acting in the plane of symmetry and in addition to tension/compression due to shear in the case of cross sections with one axis of symmetry. The beam is subjected only to bending with the influence of shear in the case of transverse forces acting in the planes of symmetry. The expressions for the normal stresses and displacements are presented in the closed analytic form. The factor that depends on the fiber orientation is introduced in order to analyze the material influence on shear. Simply supported and clamped beams subjected to distributed transverse load are investigated. The solutions obtained for open sections are also valid for mono-symmetrical closed sections, taking into account the constraint that loads act in the beam longitudinal plane of symmetry/planes parallel to the longitudinal plane of symmetry. Illustrative examples are provided, and the analytic results show a very good agreement with the results obtained by the finite element analysis utilizing three-dimensional shell elements.

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