利用半解析方法研究移动荷载作用下加筋路堤的动力响应问题。基于Biot多孔弹性介质的波动理论,建立三维横观各向同性弹性加筋地基模型。在忽略土颗粒压缩和自重的情况下,利用Fourier变换将土体波动方程转化为常微分方程。通过数值计算研究加筋与不加筋时,速度、筋材弹性模量和加筋率等对路面竖向位移的影响。计算结果表明:在一定范围内,速度越大加筋效果越显著;速度相同时,加筋后的路面竖向位移明显小于加筋前;筋材弹性模量和加筋率在一定范围内增大时,加筋后的路面竖向位移均呈减小的趋势。
An analytical approach was used to research the 3-D dynamic response of reinforced embankment subjected to moving load. Based on Biot' s dynamic poro-elastic theory,3-D transversely isotropic dynamic analytical model of elastic reinforced pavement were established. In the case of the hypothesis of an incompressible solid grain and neglecting the density of soil quality,the governing equations of motion were reduced to a system of ordinary differential equations by the Fourier transform. By using the numerical method,the speed of moving loads,the elastic modulus of reinforcement and the reinforced ratio were investigated.Numerical results showed that the vertical displacement of road increased with the increase of load speed in a certain range. The displacement of road with reinforced embankment was lesser than the ones without reinforced embankment. The displacement of road decreased with the increase of the elastic modulus and ratio of reinforcement.