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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
【摘要】 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。
【Abstract】 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.
【关键词】 有限元线法;
轴对称;
线弹性;
插值矩阵法;
【Key words】 finite element method of lines; axisymmetrical problem; linear elasticity; interpolating matrix method.;
【Key words】 finite element method of lines; axisymmetrical problem; linear elasticity; interpolating matrix method.;
【基金】 机械部科学基金
- 【文献出处】 应用力学学报 ,Chinese Journal of Applied Mechanics , 编辑部邮箱 ,1996年03期
- 【分类号】O343
- 【被引频次】21
- 【下载频次】234