Influence of the Hydraulic Boundary Condition between the Embankment and Saturated Half-Space on the Train-Induced Ground Vibration

Zong-Hao Yuan,Hao Tang,Zhi-Gang Cao,Si Sun

doi:10.1155/2019/5962737

Abstract

A three-dimensional analytical model was proposed to investigate the influence of the hydraulic boundary of the ground surface on the train-induced ground vibrations. The ground was simulated as a fully saturated poroelastic half-space and the embankment as a rectangular elastic soil layer with finite width. The rails and the sleepers were modeled as Euler beams and a Kirchhoff plate, respectively. Two hydraulic boundaries of the interface between the embankment and the ground surface were simplified as two limiting cases, namely, the permeable and impermeable cases. The linearized dynamic equations of motion for the fully saturated poroelastic soil and the elastic embankment were solved by Fourier transform and Fourier series. The vertical velocity and pore pressure were firstly calculated in the frequency-wavenumber domain and then transformed into the time-space domain by inverse Fourier transform. The influence of the hydraulic boundary at the ground surface on the train-induced ground vibration was specially investigated. It was found that the hydraulic boundary condition has a significant influence on ground-borne vibrations for the high-speed moving train with high load excitation frequencies.

Highlights

The high-speed trains usually cause disturbance to residents and detrimental effects on the buildings nearby
Using a simplified formulation of the railway track, namely, a layered beam structure resting on a layered elastic ground, Sheng et al [8,9,10] proposed a series of analytical models to study the ground vibrations by solving the wave equations for the Euler beam and the viscoelastic half-space
The effects of the hydraulic boundary condition between the embankment and saturated poroelastic half-space on the dynamic response of the embankment-ground system are investigated for two moving train speeds (V=70 km/h and V=250 km/h) below and above the critical speed, respectively

Summary

Introduction

The high-speed trains usually cause disturbance to residents and detrimental effects on the buildings nearby. Using a simplified formulation of the railway track, namely, a layered beam structure resting on a layered elastic ground, Sheng et al [8,9,10] proposed a series of analytical models to study the ground vibrations by solving the wave equations for the Euler beam and the viscoelastic half-space. Based on Biot’s theory, Cai et al [22] and Cao et al [23] established a track-embankment-soil model with continuous displacement and stress compatibility conditions at the trackground interface to investigate the ground vibration induced by a moving train. The effects of the hydraulic boundary condition between the embankment and the saturated halfspace on the train-induced ground vibrations are investigated by a three-dimensional semianalytical model. The effects of the hydraulic boundary condition on the dynamic responses of the ground generated by the moving trains with different self-excitation frequencies were analyzed

Governing Equations and Solutions

Numerical Results and Analysis

Conclusions