多层地基上相邻基础动力相互作用求解

对于基础-地基-基础动力相互作用(FSFI)问题的求解,以往只是针对半无限均质或者单层地基来进行求解。利用改进的比例边界有限元方法(SBFEM)与有限元方法(FEM)相结合来求解多层地基之上的FSFI问题,SBFEM求解时计算空间域降低一维,并且不需要边界元所要求的基本解。针对典型算例对上述数值方法进行具体的验证,并就多层地基上FSFI问题进行求解。计算结果表明,所提出的数值算法在求解多层地基之上的FSFI问题有广泛的适用性,并且有较好的求解精度。

DYNAMIC INTERACTION SOLUTION BETWEEN ADJACENT FOUNDATIONS ON STRATIFIED SOIL

For the solution of the dynamic foundation-soil-foundation interaction( FSFI),the soil is often considered as a homogeneous half-space or a single layer rests on the rigid bedrock in the past study. An improved scaled boundary finite element method( SBFEM) is proposed and combined with the finite element method to solve the FSFI problem for the multi-layered soil. A reduction of the spatial domain by one dimension is achieved for the SBFEM. And no fundamental solution is required in contrast to the boundary element method. Several classic examples are considered to demonstrate the proposed method which is finally used for the dynamic interaction analysis of foundations rest on a multi-layered soil. As the results show,the proposed method has broad applicability for the FSFI on multi-layered soil. At the same time,the method has good precision.