基于流固耦合理论和理想空气状态方程,采用控制体积法导出列车荷载作用下无砟轨道层间含水裂缝内动水压力分布的解析式。理论分析表明:不饱和含水裂缝内的水压力分布可依据空气与水的交界面和驻点位置分为3个区段;加载时,水压力最大值发生在裂缝内水流速为零的驻点位置,并在驻点处沿里、外2个相反的方向呈减小趋势;卸载时,水压力最小值发生在驻点的位置,并沿着里、外2个相反的方向呈增加趋势;荷载频率是影响无砟轨道层间裂缝内水压力的重要因素,且水压力随着荷载频率的增加而增加,并呈二次方关系。频率为1~10Hz列车载荷作用下含水裂缝无砟轨道模型的动水压力试验结果表明:水压力的变化周期与荷载周期保持一致,水压力与荷载频率基本呈二次方关系,试验与理论分析结果基本一致,验证了提出的无砟轨道含水裂缝内水压力分布理论的正确性。
Based on fluid-solid coupling theory and the state equation of ideal gas,the analytic formula for the hydrodynamic pressure distribution in the interlayer crack of ballastless track under train load was deduced by using control volume method.Theoretical analysis shows that the pressure distribution in the unsaturated water crack can be divided into three sections in terms of air-water interface and stagnation point.The maximum water pressure appears at the stationary point with the water velocity of zero under loading,and decreases along two opposite directions.The minimum water pressure also appears at the stationary point under unloading,and increases along two opposite directions.Loading frequency is an important factor to affect the water pressure in the interlayer crack of ballastless track.The magnitude of water pressure increases with the increase of loading frequency and is proportional to the square of loading frequency.The test of the hydrodynamic pressure under the train load with the frequency of 1~10Hz on the interlayer crack of ballastless track model shows that the change cycle of water pressure and load cycle is consistent,and the relation of water pressure and loading frequency is square.Experimental test and theoretical analysis results are basically the same,which has verified that the theory of water pressure distribution in the interlayer crack of ballastless track is correct.