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将在高速移动列车荷载作用下的铁路系统分为上覆路轨系统和下卧土体两部分.对于下卧土体部分,通过Fourier变换求解Biot多孔饱和介质的动力方程.对于路轨系统,将钢轨简化为无限长弹性Euler梁,将枕木简化为连续质量块,同时考虑道渣层的影响.用一系列符合列车几何尺寸的点荷载来模拟列车荷载.在Fourier变换域内,联立路轨系统和下卧土体的动力方程,求解在列车荷载作用下的钢轨位移和加速度、土体位移和加速度及土体孔压的表达式.利用数值积分方法对表达式进行Fourier逆变换,得到钢轨位移和加速度、土体孔压在时域内的表达式.通过算例讨论了荷载移动速度和土体渗透系数对钢轨速度和加速度及土体孔压的影响.结果表明,水相介质的存在和荷载移动速度均对土体动力响应产生很大影响.
The railway system under the high-speed moving train load is divided into two parts: the overlying rail system and the subsoil.For the subsoil, the dynamic equation of the Biot porous saturated medium is solved by Fourier transform.For the rail system, the rail Simplified as an infinitely long elastic Euler beam, the sleeper is simplified as a continuous mass, taking into account the impact of the ballast layer. A series of point loads that meet the train geometry to simulate the train load in the Fourier transform domain, the simultaneous rail system and the next The dynamic equation of the soil is solved to solve the rail displacement and acceleration, the displacement and acceleration of soil and the expression of soil pore pressure under train load. The numerical integral method is used to inverse Fourier transform of the expression to obtain the displacement and acceleration of the rail , And the pore water pressure in the time domain is discussed.The effects of load moving velocity and soil permeability coefficient on the rail velocity and acceleration and soil pore pressure are discussed by numerical examples.The results show that the existence of water medium and the moving speed Both have a great impact on the dynamic response of soil.