均质弹性半空间地基上圆形薄板的非线性弯曲

The Nonlinear Bending of Circular Plate on a Homogeneous Semi-infinite Elastic Foundation

本文讨论了均质弹性半空间地基上,承受中心集中荷载或均布荷载,周边自由的弹性薄圆板的非线性弯曲问题.文中首先建立了问题的确定积分方程,然后用加权残数法求解非线性的积分方程组.并给出数值算例。

In this paper, a nonlinear bending problem of the elastic thin circular plate with free edge on homogeneous half-space elastic foundation under the centric concentrated load or homogeneous load is discussed. First, the integral equations of the problem are setablished. then, the integrating equations are solved by Method of Weighted Reciduals. And a numerical example has given out.