弹性地基板的样条有限元法

Spline finite element method for plates on the elastic ground

从Ｖｌａｚｏｖ模型出发，建立弹性地基板的总势能泛函．以双三次Ｂ样条函数为挠度试函数，由最小总势能原理建立弹性地基板的总刚度方程．由样条有限元法对弹性地基板进行计算分析，通过结果对比，说明样条函数方法是经济而高效的计算方法．

Based on the Vlazov ground model,the total potential energy functional for plates on the elastic ground is established. Taking the twin-cubic B spline--function as the trial function of deflection, overall stiffness equations are obtained by using minimum principle for total potential energy and the spline finite element method is applied to calculate and analyse the plates on the elastic ground. The results showthat the spline-function method used in this paper is an economic and efficient calculating method.