十六结点四十自由度相对位移板壳单元

本文从三维弹性理论出发,构造了一个新的能很好反映横向剪切变形影响的十六结点四十自由度等参板壳元。为克服直接引用三维公式系统所造成的数值方面的困难,引入了相对位移。对于曲壳单元,采用正交曲线坐标系,大大加快了计算速度。算例表明,新单元与八结点四十自由度厚壳单元有相同的精度。由于新单元由三维单元退化而成,它便于与三维单元连接,便于计算变厚度壳。

The Relative Displacement Plate-Shell Element with 16 Nodes and 40 Degrees of Freedom

A new isoparametric plate shell element of sixteen nodes and fourty degrees of freedom, which takes account of the transverse shear deformation, is developed in this paper directly from the 3-D elastic theories. In order to overcome the difficulties caused by a straightforward use of 3-D element formulation. the relative displacement method is introduced. For curved shell elements, the use of the orthogonal curvilinear co-ordinate system greatly reduces the computer effort. The new element is characterized by its very simple and uniform formulation. Numerical examples indicate that the element provided here gives very good accuracy, a quite optimal rate of convergence and a rather fast computational speed, which also demonstrates the efficiency of the element.