中文摘要：

差分法被广泛应用于各类复杂目标函数问题的求解。求解薄板小挠度弯曲问题的传统方法是事先构造满足特定边界条件的挠度函数。具有一定的盲目性,且目标函数往往需要依据边界条件而更改,通用性较差。差分法是在划分网格的基础上,通过相邻格点间挠度关系建立递推关系式,进而结合平衡微分方程与边界条件进行求解,精度较高,通用性较强。前人给出了两对边固支另两对边自由边界下的薄板弹性解,本文给出了两对边固支两对边简支条件下的差分解并分析其内力分布特征。

英文摘要：

Difference method has been widely applied in the solving of the complex objective functions. The traditional method for solving the bending problem of thin plate with small deflection is constructing a function which contents with the specific boundary conditions. It＇ s blind and the function has to be replaced once the boundary conditions changed. Meshing, establishing recursion relations of flexibility among adjacent nodes, the problem would be solved by combining with equilibrium differential equation and the boundary conditions. Difference meth- od is high accuracy and general purpose. The elastic solution of the thin plate with opposite boundary completely clamped support and others free is given by the previous. This article is going to find out the difference solution of elastic thin plate with opposite boundary completely clamped support and others simply supported and analyze the distribution of internal force.