利用差分法的简易迭代程序模拟平面弹性力学  

Simple Iteration Program for Simulation of Plane Elastic Problem with Difference Method

作　　者：徐宁[1] 

机构地区：[1]新疆大学机械工程学院,新疆维吾尔族自治区乌鲁木齐830049

出　　处：《软件导刊》2012年第4期19-21,共3页Software Guide

摘　　要：为了能够简捷、快速地得到一般平面弹性力学问题的结果,将一个平面弹性体假想为由若干正方形组成的近似结构,这个结构可以简单地用二维数组直接进行描述。以梁弯曲为例,引用"节点领域"的差分法推导每个节点与周围节点的平衡关系,利用每个节点的关系方程进行迭代计算,从而编写程序实现了模拟梁弯曲变形的过程。总结了适合于程序编写、供各种基本边界条件下,联立方程组迭代求解弹性体的位移分布的简单思路。For briefness in solving plane elastic problem, mathematical model and idea of calculation, an elastic plane is assumed to be approximate structure consist by several square. This structure of data is described by a two-dimensional array. For example of bending beam problem, the finite difference method of Nodes Field is used to infer the balance relation between a node and surrounding ones. And these balance equations are applied by iterative calculation, which simulate the shape change of bending beam through programming. The method and idea to get displacement and to solve problems under any basic boundary conditions is summarized, which are appropriate for program design for iteration with Difference Method.

关 键 词：差分法 迭代法 程序设计 弹性力学 

分 类 号：TP301[自动化与计算机技术—计算机系统结构]