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为准确预测列车引起的地基振动,该文提出了一种新的轨道系统-饱和土地基解析分析模型。该文模型中轨道系统与饱和土地基接触面间采用与真实情况一致的位移与应力连续接触条件。轨道系统中钢轨与枕木分别采用无限长Euler梁与Kirchhoff薄板来模拟,路堤采用无限长矩形弹性层来模拟。轨道系统控制方程采用Fourier变换和Fourier级数展开相结合的方式进行求解。饱和土体半空间中引入Biot波动方程,并通过Fourier变换在变换域中进行求解。通过与现有研究成果对比发现,在高频荷载作用时,轨道系统与地基的简化接触条件会产生较大误差。另外,单相介质土体模型将明显低估地基的动力响应水平。
In order to accurately predict the ground-based vibration caused by train, a new orbital system-saturated soil foundation analysis model is proposed. In the model, the contact conditions between the track system and saturated soil foundation are consistent with the real conditions of displacement and stress. The rails and sleepers in the track system are modeled by an infinite Euler beam and a Kirchhoff plate, respectively. The embankment is modeled by an infinitely long rectangular elastic layer. The governing equations of the orbital system are solved by Fourier transform and Fourier series expansion. The Biot wave equation is introduced into the half-space saturated soil and solved in the transform domain by Fourier transform. Compared with the existing research results, it is found that the simplified contact conditions between the track system and the foundation will produce large errors when high frequency loads are applied. In addition, the single-phase media soil model will significantly underestimate the dynamic response of the foundation.