平面桁架力学分析的细胞自动机方法初探

An Approach to Mechanical Analysis of Plane Truss Using Cellular Automata

尝试用细胞自动机作平面桁架力学分析 ,探讨了该方法的可行性 .给出元胞的划分方法和特性 ,列出计算框图并编制了相应的程序 ,由于不必形成结构的偏微方程集或有限元的总体刚度矩阵 ,计算工作量小 .算例表明 ,该方法对结点位移和杆内力的收敛速度均较快 。

Cellular automata was applied to solve mechanical problem of plane truss,and the feasibility of which was discussed in this article.The characteristic of cell and the way of dividing cell were studied while presenting a program and its frame chart.The work load of the new method was not much because it needn't form a partial differential set or a general finite element robustness matrix.Numerical computing results show that the new method has a rapid speed of convergence to nodal displacement and internal force of element,so it probably has a good prospect in solving solid mechanical problems.