频域内求解移动荷载作用下三维层状场地动力响应的理论推导

摘要

基于Hung教授所做移动荷载作用下弹性半空间的振动分析,给出了频域内求解移动荷载作用下三维层状场地动力响应的理论推导,得到弹性半空间动力刚度矩阵和单层土动力刚度矩阵;根据相邻层连接处的平衡条件和变形协调条件,得到具有对称性精确分析、且不受土层厚度影响的整体刚度矩阵。本理论分析方法可用于求解三维层状场地在车辆移动荷载作用下的动力响应问题。%Based on the vibration analysis of the elastic half-space under moving loads made by professor Hung,the theoretical deriving method for solving the dynamic response of 3-D layered site under moving loads in frequency domain is given here,and the elastic half-space dynamic stiffness matrix and the dynamic stiffness matrix of single-layer soil are obtained;simultaneously,based on the equilibrium condition and deformation accordance condition between two adjacent layers,the integral dynamic stiffness matrix with symmetry and accuracy is obtained,which would not be affected by the thickness of soil layer.This theoretical analysis method may be used for solving the dynamic response problem of 3-D layered site under the moving loads of vehicles.