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建立列车–轨道–地基相互作用模型,将轨道简化为铺设在地基上的欧拉梁,推导轨道不平顺条件下列车荷载的半解析隐式表达式。将填充沟视为地基中的异质体,推导内含异质体弹性半空间的2.5维有限元法表达式。分析列车在低速和高速运行条件下填充沟对不平顺列车动荷载作用下地基振动的隔振效果,分析参数包括沟宽、沟深、沟距及填充料。研究结果表明:列车高速运行时,填充沟的隔振效果较好;增加沟深及沟宽均可增加填充沟的隔振效果;沟前地表出现一定范围的振动增强区,沟深越深,沟宽越宽,振动增强越明显;非刚性材料由于具有较大的材料阻尼作用,在沟前及沟后都有较好的隔振效果。相关成果可为列车产生环境振动的理论分析和工程应用提供参考。
The model of train-track-foundation interaction is established. The orbit is simplified as the Eulerian beam laid on the ground and the semi-analytical implicit expression of the train load is deduced under the condition of track irregularities. The filling ditch is regarded as a heterogeneous body in the foundation, and a 2.5-D finite element method expression for the elastic half-space containing heterogeneous bodies is deduced. The vibration isolation effect of the foundation under the dynamic loading of uneven train under filling ditch under low speed and high speed is analyzed. The analysis parameters include groove width, groove depth, groove spacing and filling material. The results show that the vibration isolation effect of filling ditch is good when the train runs at high speed; the increase of ditch depth and ditch width can increase the vibration isolation effect of filling ditch; a certain range of vibration enhancement area appears on the surface of trench ditch, The wider the groove width is, the more obvious the vibration enhancement is. The non-rigid material has better vibration isolation effect both before and after the groove due to the larger material damping effect. Relevant achievements can provide reference for theoretical analysis and engineering application of environmental vibration caused by train.