Aprimoramento de formulação do MEF para barra geral laminada tridimensional pela consideração da cinemática de empenamento para seção qualquer / An improved finite element formulation for the analysis of general three-dimensional laminated bars with consideration of warping for any cross-section

AUTOR(ES)
DATA DE PUBLICAÇÃO

2008

RESUMO

In the present work an improved finite element formulation for the analysis of three-dimensional laminated bars is presented. The improvement is made by introducing the warping mode into the previous model that follows a general Reissner-Timoshenko kinematics hypotesis. In order to do so, a two-dimensional code is developed, based on Saint Venants torsion problem; to find the warping mode for any considered cross-section, including non-homogeneous material. Each warping mode is achieved for unitary rotation by unit of length. This warping mode is weighted by a new parameter, the intensity of warping, and then added to the Reissner-Timoshenko kinematics, resulting into the enhanced formulation. The existent computational code is modified accordingly to this new kinematics and tested regarding its capacity of reproducing analytical results for Saint-Venant torsion and Vlasov bending-torsion theories. Some results for laminated cross sections are also provided. It is worth stressing that the main contributions of this work are two. The first is the consideration of warping for general 3D bars with any cross section, i.e., not limited to thin-walled cross sections. The second is the consideration of laminated materials for any cross section.

ASSUNTO(S)

barras gerais elementos finitos laminados finite elements laminated general bars warping empenamento

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