边界元有限元耦合法解桩土相互作用问题

The Problem of Interaction between Pile and Soil Has Been Solved by BE-FE Combined Method

对于桩、土相互作用问题采用了边界元、有限元的耦合法求解。将桩视为三维弹性体，用有限元法分析，建立桩在Ｌａｐｌａｃｅ空间的有限元频域方程并进行离散。将土介质视为半无限弹性体，采用半无限域动力基本解在 Ｌａｐｌａｃｅ空间建立频域边界积分方程并进行离散．应用桩、上交界面处的位移相容和力的平衡条件，耦合建立代数方程组，求得 Ｌａｐｌａｃｅ空间的位移的应力，应用数值反演方法求得时域的解．

We use the BE-FE combined method to solve the problem of interaction between pile-soil .The piles are usually treated as 3-D elastic media, The pile of BE equation has been established and discretized in laplace space with BE method, The soil domain is treated as elastic half-space.The integral equation of the soil region is established in laplace space with the kinetic differential equation. Also it is discretized, According to the equilibrium and compatibility conditions for the interface, a transform matrix and the set of equations for pilesoil system have been established the displacements and troutions can be solved in laplace space. Then applying numerical inverse method the solutions of time domain can be obtained.,