Green函数法计算弹性地基钢筋混凝土薄板

On the Calculation of Thin Reinforced Concrete Plate with Elastic Foundation through Green Function Method

将钢筋混凝土板在特定域中的Green函数作为影响函数 ,首先根据板的外边界条件以及非均匀弹性地基条件建立方程 ,求出虚拟域中的Green函数“源” ,继而由求得的“源值”和板上的已知荷载确定板内任意点的挠度和内力。该方法简单实用 ,易于编程 ,适用于任意形状、多种边界条件以及非均匀弹性地基的钢筋混凝土弹性薄板。

By applying the Green function of reinforced concrete plate of flexural problems as influence function , the authors set up the equations according to the boundary conditions and elastic foundation conditions and obtain the 'sources' of Green function in fictional region. Finally, the deflections and internal forces of a given point are determined by the obtained 'sources' and the known loads on the plate. The method is simple and easy for programming and suitable for plates with arbitrary form and boundary conditions.