弹性基础板的积分方程解法

本文提出了基础板的积分方程解法.该法首先将以挠度W和反力?相耦合的微分-积分方程化成一个求W的积分方程和一个求?的微分式子,然后采用基于虚功原理的差分离散格式,建立了支配方程.文中给出了算例,并将计算结果与现有成果作了对比.对比结果表明,本文方法具有方程简单、未知数少、精度高等优点,可作为基础板分析的又一方法.

Integral Equation Method for Foundation Plates

The method of solving the integral equation for plates on foundations is presented in this paper. The integral-differential equation coupled with deflection W and reaction p is turned into an integral equation with W unknown and a difference expression with p unknown, and then the governing equation is obtained by using the difference discrete form based on the principle of virtual work. Several exxmples in the paper show that the method is a good one for the analysis of plates on foundation.