钢轨服役中由于受到复杂多变载荷冲击作用，表面纵向往往会形成具有一定长度和幅值的波浪形不平顺，导致对其打磨作业过程中，接触区域钢轨型面的实际等效曲率和法向接触压力均动态变化。为此，分析波浪型面钢轨砂带打磨的基本接触特性，基于弹性赫兹接触理论，建立包含时间、打磨压力、打磨进给速度、接触轮直径以及橡胶层厚度等参量的宏观时变接触理论模型，揭示任意时刻下更加符合客观实际的接触区域形态和接触应力分布变化规律。对三个典型不同时刻（分别靠近波峰、波谷和水平位置）进行理论和有限元仿真计算对比分析，结果表明在一定误差范围内理论值和模型值呈现较高程度吻合，验证了时变接触理论模型的正确性和有效性。
Due to the complex and varied load impact, the longitudinal rail surface tends to form the wavy irregularity with certain length and amplitude, resulting that the equivalent curvature of rail surface and normal contact stress of the contact area in the process of grinding operation change dynamically. For this purpose, the basic contact characteristic for the waved rail surface grinding by abrasive belt is analyzed. Based on the Hertz contact theory, the macro time-varying contact theory model involved with time, grinding pressure, feed speed, diameter and rubber layer thickness of contact wheel is built, by which the more practical contact area form and stress distribution at any time are revealed. The theory and finite element simulation comparison analysis for the three typical different moments (close to the peak of wave, the trough of wave and the horizontal position respectively) is implemented. Results show that the theoretical calculation data and the simulation data agree well, which verifies correctness and validity of the proposed theory model.
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