移动荷载下瞬态振动的三维移动坐标有限元分析

针对移动荷载引起地基振动问题的特点，在随荷载移动坐标系下建立有限元方程进行分析，能够与常规有限元方法较好地符合。建立了可用于移动坐标有限元法的黏弹性边界，从而有效地模拟波在边界的透射。以Euler-Bernoulli梁模拟轨道和路基的作用，以三维实体单元模拟黏弹性分层地基，得到的数值模拟结果能够与瑞典Ledsgård地区高速铁路实测数据较好地吻合，表明移动坐标有限元法可以有效地分析此类问题。

3D FEM in moving coordinate for transient response under moving loads

A finite element method in moving coordinate is formulated in order to analyze the vibrations of railway embankment and ground under moving loads. A viscoelastic boundary condition in moving coordinate is also formulated to simulate the waves transmitting at boundaries. In the formulation the ground is assumed to be a layered viscoelastic half-space medium; and the railway embankment is modeled as a viscoelastic beam. The transient state numerical results agree well with the field measurement data at Ledsgård, which shows that the proposed method is effective in solving moving loads problems.