Refined beam elements with arbitrary cross-section geometries
Refined beam elements with arbitrary cross-section geometries
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DOI：
10.1016/j.compstruc.2009.11.002
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发表时间：
2010-03
影响因子：
4.7
通讯作者：
E. Carrera;G. Giunta;P. Nali;M. Petrolo
中科院分区：
文献类型：
--
作者：
E. Carrera;G. Giunta;P. Nali;M. Petrolo
本文在Carrera统一列式的基础上提出了分层梁单元。使用一组1-D广义位移变量，位移分量根据截面坐标（x，y）展开。采用N阶Taylor型展开。N是公式的自由参数。线性，二次和三次近似沿着梁轴，（z），介绍开发有限元矩阵。这些都是在几个基本的核，其形式是独立的N和元素节点的数量。首先对已有结果进行了收敛性分析和评价。附加分析考虑了不同的梁截面（方形和翼型）以及载荷条件（弯曲和扭转）。它已主要得出结论，所提出的模型是能够家具的3-D应力状态在所考虑的梁与传统的（矩形）和非传统的（薄壁翼型）的部分。
This paper presents hierarchical beam elements on the basis of the Carrera Unified Formulation. The displacement components are expanded in terms of the section coordinates, (x,y), using a set of 1-D generalized displacement variables. N-Order Taylor type expansions are employed. N is a free parameter of the formulation. Linear, quadratic and cubic approximations along the beam axis, (z), are introduced to develop finite element matrices. These are obtained in terms of a few fundamental nuclei whose form is independent of both N and the number of element nodes. Convergence and assessment with available results is first made. Additional analyses consider different beam sections (square and airfoil-shaped) as well as loading conditions (bending and torsion). It has mainly been concluded that the proposed model is capable of furnishing 3-D stress states in the considered beams with conventional (rectangular) and unconventional (thin-walled airfoil) sections.