In railway heavy haul transportation, the wheel-rail contact interaction has a strong influence on the performance of the entire system. According to the vehicle longitudinal movement conditions - straight/curved tracks and travel speed, contact interaction takes place on different portions along the wheel/rail geometric profiles. Determining wheel/rail contact patches is fundamental both for vehicle dynamics and to predict the locci prone to rolling contact fatigue (RCF), due to high contact pressures. This work presents a quasi-static model to determine the wheel-rail contact locations and pressures for a given steady-state scenario of straight or curved track. The model is able to consider generic wheel and rail profile geometries with several contact pointwise interactions. Each contact pair is solved by the called ‘master-master methodology’, developed generally for a 3D environment. A proposed simplification leads to a two-dimensional model, able to produce results in fast processing time and very low computational cost. The result gives predictions related to RCF-prone location. The model is motivated for application together with a methodology to quantify the accumulated contact pressure, considering a family of distinct wheelsets and their combined interactions with the rails. We present a case study considering real measured wheel and rail profiles.

在铁路重载运输中，轮轨接触相互作用对整个系统的性能影响很大。根据车辆纵向运动条件——直线/曲线轨迹和行驶速度，沿轮轨几何轮廓的不同部分发生接触相互作用。确定轮轨接触面片对于车辆动力学和预测由于高接触压力而容易发生滚动接触疲劳 (RCF) 的轨迹都是基础。这项工作提出了一个准静态模型，用于确定直线或曲线轨道给定稳态场景的轮轨接触位置和压力​​。该模型能够考虑具有多个接触点交互的通用车轮和轨道轮廓几何形状。每个接触对都由所谓的“主-主方法”解决，通常为 3D 环境开发。提出的简化导致二维模型，能够以快速的处理时间和非常低的计算成本产生结果。结果给出了与易发生 RCF 的位置相关的预测。该模型的动机是与量化累积接触压力的方法一起应用，考虑到一系列不同的轮对及其与钢轨的组合相互作用。我们提出了一个考虑实际测量的车轮和轨道轮廓的案例研究。该模型的动机是与量化累积接触压力的方法一起应用，考虑到一系列不同的轮对及其与钢轨的组合相互作用。我们提出了一个考虑实际测量的车轮和轨道轮廓的案例研究。该模型的动机是与量化累积接触压力的方法一起应用，考虑到一系列不同的轮对及其与钢轨的组合相互作用。我们提出了一个考虑实际测量的车轮和轨道轮廓的案例研究。