任意形状弹性地基问题的无穷边界单元法

在研究建筑物与地基相互作用时,常遇到各种形状的地基问题。本文根据边界元理论,采用统一的Kelvin基本解导出适合于求解任意形状弹性地基问题的边界积分方程,引入两类无穷边界单元并给出完整的坐标、位移和面力形函数以及它们所应满足的条件。算例表明,本文方法是行之有效的,并具有节省单元、计算方便、精度高等优点。

Infinite Boundary Element Method for Elastic Problem in Arbitrary Shaped Foundation

In problems of interaction between structures and foundations arbitrary shaped foundations are often encountered. Based on the theory of boundary element method the boundary integral equation for solving elastic problems in arbitrary shaped foundation is developed by using Kelvin fundamental solution. Two infinite boundary elements are introducted, their shape functions about coordinate, displacement or fraction and their suitable conditions are given. Examples showed that the method presented is feasible, effective, and can save lots of boundary elements with high accuracy.