A C1 Beam Element Based on Overhauser Interpolation

Lima, André S. de; Faria, Alfredo R. de

doi:10.1590/1679-78253142

Cited by 3 publications

(1 citation statement)

References 9 publications

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“…In the Euler-Bernoulli theory, the cross-sectional initially normal to the beam neutral axis remains plane and normal to this axis after deformation [7]. This assumption ignores the effects of shear deformation and presents good results for isotropic homogeneous thin beams [8].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear numerical model of plane frames considering semi-rigid connection and different beam theories

Souza

Vanalli²,

Vanderlei³

et al. 2021

Matéria (Rio J.)

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This paper presents a numerical-computational model for frames with geometric nonlinear behavior, by the Finite Element Co-rotational method, considering the Euler-Bernoulli and Timoshenko beam theories. The connection between structural members is simulated by a null-length connection element, which considers the axial, translational and rotational stiffness. The nonlinear equations system that describes the structural problem is solved by the incremental and iterative procedure of Potra-Pták, with cubic convergence order, combined with the Linear Arc-Length path-following technique. The solution method algorithm is presented and the numerical examples are simulated with the free Scilab program. The numerical results show that the slenderness of the structure, geometric nonlinearity and semi-rigidity influence the behavior of the structure. Structural analysis and design procedures that consider these factors attains less conservative design thus obtaining more optimized structures.

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Section: Introductionmentioning

confidence: 99%