Fractal Description of Rail Corrugation and Its Dynamic Simulation
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摘要: 为了探讨用分形维数准确描述钢轨波磨磨损程度的方法,根据实测数据,用分形描述了石太线上半径300 m的曲线地段实测波磨痕迹曲线的特征,计算出其分形维数.以波磨痕迹曲线作为钢轨水平不平顺输入条件,对列车以不同速度运行时轨道各构件的竖向位移和竖向加速度等动力响应进行了仿真计算,探讨了各动力响应与波磨分形维数之间的关系.研究表明,钢轨波磨磨损的程度可以用其分形维数来描述,且其分形维数和用波磨痕迹曲线作为水平不平顺输入条件计算出的动力响应都与波磨观测点读数间距有关.Abstract: To probe into the method to accurately describe the attrition grade of rail corrugation using fractal dimension,the characteristics of rail corrugation,measured in some segments with a curve radius of 300 m along the Shijiazhuang-Taiyuan railway line,were described by fractal dimension based on experimental data,and its fractal dimension was calculated out.The trace curve of rail corrugation was inputted as track cross-level irregularity,and the vertical displacement,acceleration and other dynamic responses of components under different train speeds were calculated numerically,and the relationship between the dynamic responses and the fractal dimension was investigated.The research shows that the attrition grade of rail corrugation can be described by its fractal dimension and the dynamic responses calculated out and the fractal dimension are influenced by measuring distance
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Key words:
- rail corrugation /
- fractal /
- fractal dimension /
- track cross-level irregularity /
- dynamic response
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