A Semi-analysis Solution for the Vibration of Raft-superstructure on the Saturated Soil under Moving Load

摘要

Based on Biot's theory and the minimum potential energy principle as well as the thin plate theory, the superstructure, raft and soil are assumed to be whole system according to the substructure method. The system must satisfy the continuity conditions at the interface between the superstructure, raft and soil surface. Consider the compatibility condition that the vertical displacement of the interface between the raft and the saturated soil should be equal, the integral equation accounting for the vertical coupling of the superstructure-raft system with the saturated soil subjected to a moving load is constructed. Using the numerical inverse transform technique, the forces and displacements of the superstructure, plate and saturated soil at any time are obtained. Some numerical results are presented to demonstrate the capacity of the proposed model. Also, the influence of load velocity on the superstructure will be investigated in this paper.