带孔圆柱面的离散方法

本文利用几何变换使圆柱面的离散工作在平面上进行。并应用二次投影变换以减少计算三角形单元节点坐标的时间。所用方法具有直观性与精确性,并能容易地发现计算中的错误。

Discrete Solution of Cylindrical Surface with Hole

To simplify the preliminary proceedure of the finite element method, discretization of curved surface, in stress or strain analysis of a cylindrical shell with hole, the trans-formation of a cylindrical surface into a plane, so as to make the discretization easier, is carried out. After the discrelization of the surface, for saving time from calculating the coordinates of the Joints of the elementary triangles, the method of secondary auxiliary projection is used. As this solution has the advantage of visualization, it is easy to find out the error in calculating.