A mixed-hybrid finite element for three-dimensional isotropic helical beam analysis
A mixed-hybrid finite element for three-dimensional isotropic helical beam analysis
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DOI：
10.1016/j.ijmecsci.2004.12.010
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发表时间：
2005-02
影响因子：
7.3
通讯作者：
M. Taktak;F. Dammak;S. Abid;M. Haddar
中科院分区：
文献类型：
--
作者：
M. Taktak;F. Dammak;S. Abid;M. Haddar
本文提出了每个节点有六个自由度的两节点有限元，能够模拟具有两个恒定曲率半径（曲率和扭转半径）的三维各向同性螺旋梁的行为。该公式包括剪切应变效应，基于假设的合力混合方法。所得的力近似值准确地验证了平衡方程。给出了样本的数值结果和广义力沿螺旋梁的分布。与其他模型的比较表明所提出的元素给出了精确的解决方案。
This paper presents a two node finite element with six degrees of freedom per node, able to model the behaviour of a three-dimensional isotropic helical beam with two constant radii of curvature (curvature and torsion radii). The formulation, which includes the shear strain effects, is based on the assumed resultant forces hybrid approach. The resulting forces approximation verifies exactly the equilibrium equations. Numerical results of samples and distribution of generalized forces along the helical beam are presented. Comparison with other models indicates that the presented element gives exact solutions.