CAJ | 학술논문

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Bio t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Bio t波动方程描述的饱和半空间。联立轨道系统、加筋路堤和下卧土体的动力方程，在Fourier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。
용해석법연구료가근로제상궤도계통재이동하재작용하적삼유동력향응문제。기우Bio t다공탄성개질적파동이론，건립료가근로제궤도계통분석모형。장강궤간화위무한장탄성Euler량，장침목간화위련속질량괴，장가근로제작위일횡관각향동성층래고필，장하와토체고필위유Bio t파동방정묘술적포화반공간。련립궤도계통、가근로제화하와토체적동력방정，재Fourier변환역내구해하재작용하강궤위이화토체위이적표체식，장구득적표체식진행Fourier역변환득도기재시역리적표체식。연구료열차이동속도、가근로제층적후도、하재폭치대소화가근솔등대로제급궤도계통동력향응적영향。계산결과표명，강궤수향변형수착속도적증대정현선증대후감소적추세；가근로제상적강궤수향변형현저소우동후도하미가근로제상적강궤수향변형；강궤수향변형수착하재폭치적증대이증대；수착가근솔적증대이감소。
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 .