城轨沿线地面环境振动响应的半解析有限元求解

采用半解析有限元法建立了列车-轨道-地基土相互作用模型,通过线性赫兹关系考虑列车模型与轨道模型之间的动力相互作用,再通过动力平衡将轨道模型与地基土模型进行耦合;随后在轨道不平顺的激励下,计算列车沿线运行产生的地基反力;将此力作为由有限元软件ABAQUS建立的求解轨道沿线环境振动模型的输入,求得列车通过时引起的沿线场地的环境振动;利用北京某城轨线路区间站之间的环境振动观测数据对计算结果进行验证,证明了所建立的计算方法是有效的。这套计算方法具有一定实用价值可用来评估现有线路的环境振动,也可用来规划新修建线路附近场地的环境振动。

Semi-analytical finite element method for ground environment vibration responses along urban rail

Here, the semi-analytical finite element method was used to establish a train-track-subgrade interaction model considering dynamic interaction between train and track with the linear Hertz relation and coupling effects between track and subgrade with the dynamic balance method. Under the excitation of track irregularity, subgrade reactions were calculated during train running along railway. Then, subgrade reactions were taken as input of the model to solve environmental vibration along railway established using the finite element software ABAQUS to solve environmental vibrations of sites along railway during train passing through. Finally, environmental vibration detection data between interval stations along a certain urban rail line in Beijing were used to verify the corresponding calculation results. It was shown that the established calculation method is effective;this calculation method is valuable to evaluate environmental vibrations of sites along existing lines and planned ones.