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高速列车引起的地基振动半解析解

         

摘要

随着列车速度的提高,地基振动的反应越来越大。根据有限元理论、轨道动力学及地基土振动 Green 函数,建立了轨道-无限地基土相互作用理论分析模型。为了组装系统的动力方程,通过引入静态自由度凝聚模式来消除梁存在转动自由度。借助文献[12]的柔度矩阵定义并通过 Hankel 变换获得了系统的刚度矩阵,进而采用Newmark 法求出了系统动力反应。最后,以瑞典 X2000高速旅客列车为对象进行仿真,通过与试验结果的比较来说明本文方法的可行性。%The ground vibrations caused by moving trains have been intensified as the trains run faster. Based on the finite element theory,track dynamics and the Green’s functions of foundation soil,an inte-grated track-soil dynamic interaction model is established.In order to acquire the dynamic equations,in the paper,a static degree-of-freedom(DOF)condensation mode is utilized to eliminate the rotation DOF existed in beam.The stiffness matrix can be determined by aid of the definition of receptance matrix in literature [12]and Hankel Transformation,furthermore,the dynamic responses of system can also be calculated by Newmark method.In the last,the Sweden’s X2000 high-speed passenger train is taken as the object,the feasibility of the proposed method is demonstrated by comparing with the experimental data.

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