模拟轨道车辆和轨道的动力学过程

M. Bogdevičius, Rasa Žygienė
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引用次数: 7

摘要

本文研究了有缺陷的铁路轮轨动力学和“轨道车辆轮轨”系统的数学模型。假设R-65型钢轨和带平轨的轮毂存在不均匀性。本研究的目的是确定在各种缺陷处由轮轨接触产生的接触力。轨道动力学用有限元方法描述,土壤和车辆动力学用离散元方法描述。该数学模型用于评估轮轨表面的物理和机械性能、粗糙度及其几何形状。在数学模型中对钢轨进行了评估:轴向力的影响、钢轨的初始变形、土的基础、轨枕与钢轨之间的间隙。将铁路车轮轮廓定义为半径变量与极角的函数,并用傅里叶级数来描述。在这个数学模型中,铁路车轮和轨道的接触面积被划分成小的部分,在这些部分中,使用赫兹理论设置接触力。应用牛顿-拉夫逊方法求解了整个非线性运动方程组。列车的速度为100km /h,轨道上的静载荷为100kn。得到了接触问题的数值结果。接触的持续时间几乎等于周期期间,轮对通过一半的平面长度。驱动轮对的接触力约等于1.0 MN。轨枕加速度最大值为410克。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
SIMULATION DYNAMIC PROCESSES OF RAIL VEHICLE AND RAIL WITH IRREGULARITIES
The work presents research of defective railway wheel and rail dynamics and mathematical model of system “Railway vehicle wheel – track”. An assumption was made that the Rail R–65 and railway wheel with flats are with unevenness. The aim of this investigation is to identify the contact forces resulting from the wheel/rail contact at the various defects. Rail track dynamics is described by finite element method, while soil and wagon dynamics is described by the discrete elements. The mathematical model is to assess physical and mechanical properties, roughness of wheel and rail surface, and their geometry. In the mathematical model of the rail is evaluated: the impact of axial force, the initial deformation of rail, the foundation of soil, the gap between sleeper and rail. Profile of railway wheel is defined as a function of radius variable depending on the polar angle and described by Fourier series. In this mathematical model of railway wheel and rail contact area is divided into small sections, where the force is set in contact using the Hertz theory. Total system of non-linear equations of motion is solved by applying the Newton-Raphson method. The speed of the train is 100 km/h and static load on the rail is 100 kN. The flat of the wagon wh Numerical results of contact problem are obtained. Duration of contact is nearly equal to period during which the wheel set passes a half of the flat length. The contact force operating the wheelset is equal to approximately 1.0 MN. Maximum value of the sleeper acceleration is equal 410 g.
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