桩基础桥梁的土-结构动力相互作用

摘要

首先以加权残差公式为基础，采用积分方程方法推导与桩基础对应的层状场地动力刚度矩阵公式，并用解析解验证了数值分析的计算结果；然后用子结构法联合积分方程方法和有限元法的计算结果，求解土-结构动力相互作用的地震响应；最后以芜湖长江大桥主跨斜拉桥长塔墩的地震响应为例，将本文的计算结果与Penzien模型的计算结果作了比较。%Based on the weighted-residual formulation, the integral expression and the formula for calculating the dynamic-stiffness matrix of pile group foundation by the indirect boundary-element method are derived. The formula of response ［Np(z)］ in a element with fixed boundary was derived by the Mathmatica. The dynamic-stiffness matrix was calculated by MATLAB program. The results which were validated by analytic solution can directly used to solve the soil-pile-structure interaction problem by the substructure method which connecting the finite-element method and the boundary-element method.