无单元法在拱圈计算上的应用

Implementation of the Meshless Method on Computation of Arch Ring

无单元法(也称无网格方法)是一种新兴的数值计算方法,它是有限元等传统数值分析方法的重要补充和发展。本文针对拱坝的二维线弹性问题进行求解,计算拱圈上结点位移,计算结果由MATLAB编写的无单元伽辽金法程序运行得出。同时结合工程应用实例分析对系统进行测试评定,效果良好。

Meshless method is a type of new numerical analysis ment and development of finite element method. In this thesis, a method, and an important complesimplified two- dimensional imple- mentation of Arch Dam in linear elastics is described, the nodal displacement of arch ring is computed. Results are calculated with the method and the aid of a two - dimensional MATLAB the Element Free Galerkin（EFG） program. Example analysis of engineering problem was presented to test and assess the function of the system and came out a good result.