Geometrically nonlinear analysis of thin-walled composite box beams

Vo, Thuc P.; Lee, Jae Hong

doi:10.1016/j.compstruc.2008.10.002

Cited by 21 publications

(22 citation statements)

References 30 publications

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“…In this paper, which is an extension of the authors' previous works [21][22][23][24][25], a geometrically nonlinear model for thinwalled composite beams with arbitrary lay-ups under various types of loadings is presented. This model is based on the first-order shear deformable beam theory, and accounts for all the structural coupling coming from both material anisotropy and geometric nonlinearity.…”

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confidence: 99%

Geometrically nonlinear theory of thin-walled composite box beams using shear-deformable beam theory

Lee

2010

International Journal of Mechanical Sciences

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Geometrically nonlinear theory of thin-walled composite box beams using shear-deformable beam theory

Lee

2010

International Journal of Mechanical Sciences

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“…A non-linear problem proposed in [7] and [43] will be considered for comparison purposes. The problem consists in a cantilever composite box beam with the next data (see Table 1)…”

Section: Results Comparison With Other Models For Nonlinear Analysis mentioning

confidence: 99%

“…As in the models developed by Vo and Lee [7,43], this UL model predicts very closed values of the vertical displacement of the tip of the beam for stacking sequences in the flange with θ = 45° and θ = 90°, from which it can be inferred a weak influence of the angle θ in the vertical displacement of the beam in this range, what can be confirmed in the mentioned works [7,43]. Contrary to the vertical displacement, the present UL model is stiffer than the other ones considered here for the horizontal displacement and the twist angle.…”

Section: Load Datamentioning

confidence: 99%

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Linear and non-linear finite element analysis of shear-corrected composites box beams

López

Patiño

2013

Lat. Am. j. solids struct.

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The Updated Lagrangian formulation for non-linear finite element analysis is applied to the problem of thin-walled composites box beams undergoing large displacements. A shear correction factor for thinclosed rectangular sections is introduced into some terms of the variational formulation and its influence in the results is analyzed, in both linear and non-linear problems. The Vlasov's theory describing the coupled flexural-torsional phenomenon and the implementation of the FSDT theory in thin-walled beams is discussed, as well as the strains, stress resultants and constitutive relationships for composites box beams. The application of the Mechanic of Laminated Beam theory (MLB) to the calculation of the shear correction factors considering more constitutive terms for computing the shear flow in flanges and webs than those ones used in the original theory is also debated. The Updated Lagrangian finite element model applied in this work for nonlinear analysis of box beams is described. A comparison of the numerical results with those obtained experimentally, analytically and by the numerical models proposed by other authors is done for both linear and non-linear problems. The assumptions made in this work and the formulation developed only applies to thin-walled beams that undergo large displacements, but small to moderate twist rotations.

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“…This example is concerned with the nonlinear analysis of the cantilever laminated box beam subjected to a transverse force considered by Stemple and Lee (1989); Vo and Lee (2009b); Vo and Lee (2010b); Vanegas and Patiño (2013).…”

Section: Cantilever Box Beam With Transverse Loadmentioning

confidence: 99%

Geometrically nonlinear analysis of thin-walled laminated composite beams

Melo

Mororã

Parente

2015

Lat. Am. j. solids struct.

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The use of thin-walled composite beams in Engineering has attracted great interest in recent years. Composite beams and other structural elements tend to have thin walls due to the high strength of the material. Other important aspect is that, even without reaching large strains and without overcoming the elastic limit of the material, such as beams present geometric nonlinear behavior due to their high slenderness, leading to large displacements and rotations. In this paper, a three-dimensional frame finite element for geometric nonlinear analysis of thin-walled laminated composite beams is presented. The finite element uses the Total Lagrangian formulation in order to allow the treatment of large displacements, but with moderated rotations. The constitutive matrix of the laminated beams is evaluated through a suitable thin-walled beam theory. In this theory, the effects of the couplings for several layups are considered, but the effects of the warping and transverse shear are neglected. Comparisons with numerical experiments demonstrate the very good accuracy of the proposed finite element.

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Geometrically nonlinear analysis of thin-walled composite box beams

Cited by 21 publications

References 30 publications

Geometrically nonlinear theory of thin-walled composite box beams using shear-deformable beam theory

Geometrically nonlinear theory of thin-walled composite box beams using shear-deformable beam theory

Linear and non-linear finite element analysis of shear-corrected composites box beams

Geometrically nonlinear analysis of thin-walled laminated composite beams

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