摘要
采用无网格Galerkin法分析轴对称问题 ,得到弹性力学中的对称问题的无网格离散方程 .将这一方法与有限元耦合 ,即在边界处布置有限单元 ,这样就可以用传统有限元方法方便地处理力学边界条件 .算例考察表明 :本文方法通过了分片检验 ,计算结果达到了较高的精度 ,最大误差不超过 5 % .
Axisymmetric problems are of considerable practical interest in structural analysis. In this paper, the element free Galerkin method(EFGM) is extended and applied to solving axi symmetric problems and the EFGM for axi symmetric solids is presented. Discrete equations of EFGM for axisymmetric problems are given. In EFGM, the imposition of boundary conditions on the dependent variables is quite difficult. The problem is solved by coupling element free method with the finite element method. The numerical examples show that the method for axi symmetric solids can pass the patch test and reasonable results can be achieved with high accuracy.
基金
国家自然科学基金资助项目 ( 19772 0 5 1)
合肥工业大学科学研究发展基金资助项目 ( 0 3 0 90 4F)
