弹性力学轴对称问题的有限元线法

Finite Element Method of Lines for Axisymmetrical Problem of Elastic Mechanics

给出了解弹性力学空间轴对称问题的有限元线法的基本理论。该法包括了２－４条结线的等参数单元，沿结线方向的两点边值问题采用插值矩阵法解之。算例表明，本法具有良好的收敛性和较高的计算精度。

This paper constructs the fundamental theory of finite element method of lines which is used in solving axisymmtrical problem of elastic mechanics. The present method includes the isoparametric finite element of lines with 2, 3 or 4 lines. Interpolating matrix method is applied to solve the two point boundary values problems along by the direction of lines. The computational results demonstrate that the finite element method of lines is accurate and its convergence is well.