用三次B样条进行旋转壳有限元分析

本文成功地应用三次B样条对旋转壳进行了静力有限元分析。在本法中,壳体中面一点位移的三个分量及子午线方向的几何形状均用以三次B样条为基样条的样条函数来逼近。同一般的有限元分析相比较,本法具有多项式次数低、自由度少而连续性强、精确度高,计算速度快,内存小,方便经济等优点。

A Finite Element Analysis of Shell of Revolution Using Cubic B Spline

In this paper, a finite element analysis of shells of revolution using cubic B spline is presented. In this method, both the three components of the displacement of a point on the middle surface of a shell and the meridianal geometric shape are approached by using spline functions whose cardinal splines are cubic B spline. Compared with the ordinary finite element method, the proposed method pos sesses the following advantages: such as lower order of polynomials and less degree of freedom, but higher order of continuity and more accuracy of results, more rapid computation and less storage required in computer.