移动荷载作用下加筋路堤和轨道系统的三维动力响应

用解析法研究了加筋路堤上轨道系统在移动荷载作用下的三维动力响应问题。基于Biot多孔弹性介质的波动理论，建立了加筋路堤轨道系统分析模型。将钢轨简化为无限长弹性Euler梁，将枕木简化为连续质量块，将加筋路堤作为一横观各向同性层来考虑，将下卧土体考虑为由Biot?ǘ匠堂枋龅谋ズ桶肟占洹Ａ⒐斓老低场⒓咏盥返毯拖挛酝撂宓亩Ψ匠蹋贔ourier变换域内求解荷载作用下钢轨位移和土体位移的表达式，将求得的表达式进行Fourier逆变换得到其在时域里的表达式。研究了列车移动速度、加筋路堤层的厚度、荷载幅值大小和加筋率等对路堤及轨道系统动力响应的影响。计算结果表明，钢轨竖向变形随着速度的增大呈现先增大后减小的趋势;加筋路堤上的钢轨竖向变形显著小于同厚度下未加筋路堤上的钢轨竖向变形;钢轨竖向变形随着荷载幅值的增大而增大;随着加筋率的增大而减小。

3-D Dynamic Response of Reinforced Embankment and Track System Subjected to Moving Traffic Load

An analytic method was used to study the dynamic response of track system on reinforced embankment subjected to moving traffic load. Based on Biot's dynamic poro-elastic theory, dynamic analytical model of track system and reinforced embankment was established. The rails were described as an infinitely long Euler beam subjected to moving axle loads and sleepers were represented by continuous mass. Reinforced embankment embedded between track system and poro-elastic subsoil was modeled as a transversely isotropic layer. Subsoil was fully saturated poroelastic medium governed by the Biot's theory. Using the Fourier transform, the governing equations were then solved analytically in the frequency-wave-number domain. The time domain responses were obtained by the inverse Fourier transform computation. The influences of the train velocity, thickness of reinforced layer, load amplitude and reinforcement's ratio on the displacement responses of rails were carefully investigated. Computed results show that the vertical displacement of rails increases with the increase of load speed initially and decreases later. The displacement of rails with reinforced embankment is less than the ones without reinforced embankment. The displacement of rails increases with the increase of load amplitude and decreases with the increase of reinforcement's ratio.