弹性地基板动力响应的样条函数方法

Spline-function method for the dynamic response of the elastic foundation plates

介绍应用样条函数方法解决弹性地基板的动力响应问题。选取文克尔地基模型,以三次B样条函数和振型函数的乘积为挠度试函数,由拉格朗日方程推导出地基板的运动微分方程,通过结果比较,说明样条函数方法是经济而高效的计算方法。

In this paper, the dynamic response of the elastic foundation plates with spline-function method is introduced. Selecting Winkler＇s model,and taking the product of the B spline -function and the mode-function as the trial function of deflection,dynamic differential equation is obtained by using Lagrange equation. The result shows that the spline-function method is an economic and efficient calculating method.