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一些弹性力学问题的代数解法
引用本文:周道祥.一些弹性力学问题的代数解法[J].安徽建筑工业学院学报,2008,16(6):24-27.
作者姓名:周道祥
作者单位:安徽建筑工业学院,合肥230022
摘    要:一些弹性力学问题的基本方程可以化为常微分方程组并用矩阵算子表示,能直接用代数方法求解这些常微分方程组。本文给出用代数法求解半空间体受重力和表面均布压力作用空间问题和圆孔应力集中问题的算例。本文为求解弹性力学中类似的问题提供了新的分析方法,这种方法简便易行。

关 键 词:弹性力学  应力分析  常微分方程组

To solve the problems of elastic mechanics by the algebra method
Zhou Dao-xiang.To solve the problems of elastic mechanics by the algebra method[J].Journal of Anhui Institute of Architecture(Natural Science),2008,16(6):24-27.
Authors:Zhou Dao-xiang
Affiliation:Zhou Dao-xiang(Anhui Institute of Architecture , Industry,Hefei 230022,China)
Abstract:Basic equations of some problems in the elastic mechanics can be expressed by a group of difference equations.The differential equations of the mechanics problem are solved by using the algebra method in this paper.Two examples are the solution of stress concentration problem at a circle hole and semi infinite body under gravity and uniformity pressure.A new analytical method is provided in context for similar problems of elasticity mechanics.This method is sample and convenience.
Keywords:elastic mechanics  stress analysis  group of difference equations  
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