随动有限元法—非线性壳单元

Corotational Finite Element Method —Nonlinear Shell Element

中文关键词:随动有限元法  几何非线性  壳单元  转动自由度  膜单元

英文关键词:co rotational finite element method  geometry nonlinear  shell element  drilling freedom  membrane element

中文摘要:

      推导了壳单元的随动有限元方程，详细论述了通过随动有限元方程将线性壳单元应用到几何非线性分析中的过程。通过将具有面内转动自由度的膜单元与DKT薄板单元组合，构建了一个线性的三角形平板壳单元，并基于推导的随动有限元方程，成功的构建了节点具有六个自由度的新型非线性壳单元，通过数值算例验证了这一单元的准确性，也证明了给出的随动有限元方程的正确性。

英文摘要:

      The co rotational finite element formulation for triangular flat shell element is derived in this paper, and the procedure applying linear element to nonlinear analysis through this formulation is also discussed in detail. The triangular flat shell element, which combines a membrane element with drilling freedom and DKT thin plate element, is constructed. By using this linear shell element and the co rotational finite element formulation derived in this paper, a new shell element with six freedoms each node which can be used for geometry nonlinear analysis is given. Numerical results are presented to demonstrate the efficiency and accuracy of this new shell element, and the correctness of the co rotational formulation is also proved.