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首页> 外文期刊>International Journal of Applied Engineering Research >Numerical Simulation Model to Study the Dynamic Behavior of Railway Single Wheelset on Tangent Tracks with Single-point and Two-point Wheel-rail Contact
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Numerical Simulation Model to Study the Dynamic Behavior of Railway Single Wheelset on Tangent Tracks with Single-point and Two-point Wheel-rail Contact

机译：研究单点和两点轮轨接触的切线轨道上铁路单轮对动力学行为的数值模拟模型

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Nonlinear mathematical model of a railway single wheel-set moving on tangent tracks is constructed in which single-point and two-point wheel-rail contact has taken into consideration. The considered railway single wheelset system is modeled by 6 degrees of freedom which govern lateral displacement, vertical displacement, roll angle and yaw angle of single wheelset and lateral displacement of each left and right rails. Longitudinal, lateral and vertical primary suspensions with linear suspension characteristics are provided to the system. Combination of linear Kalker's theory and nonlinear Heuristic model has been applied to calculate the creep forces introduced on wheel and rail contact due to friction properties of the wheel-rail contact geometry. The presented nonlinear mathematical equations of motion are transformed into a set form of first order differential equations known as state space equations to be suitable for numerical integration. Computer aided-simulation is constructed to solve the transformed differential equations of the system using fourth order Runge-Kutta method. Principles of limit cycle and phase plane approach is applied to realize the stability and to evaluate the concerning critical hunting velocity of the system subjected to different parameters of wheel conicity and suspension characteristics. The numerical simulation model represents the dynamic responses on lateral, yaw, roll and vertical motions of the system moving on tangent tracks subjected to specific parameters. Single wheelset model is examined to evaluate the critical hunting velocity in which the hunting phenomenon on the system occurs under different values of wheel conicity. The results obtained that shows critical hunting velocity is proportional inversely to wheel conicity, are compared with previous model constructed by 4 degrees of freedom governed lateral displacement and yaw angle of wheelset while lateral displacement of left and right rails. Effect of vertical primary suspension spring stiffness on vertical response and on critical hunting velocity of the system is investigated. It is concluded that primary vertical spring stiffness has a compromise values must be chosen to eliminate hunting unstability and increase the critical hunting velocity of the system.
机译：构造了铁路单轮对切线运动的非线性数学模型，其中考虑了单点和两点轮轨接触。所考虑的铁路单轮对系统是通过6个自由度建模的，这些自由度控制着单轮对的横向位移，垂直位移，侧倾角和偏航角以及每个左右轨道的横向位移。具有线性悬架特性的纵向，横向和垂直主悬架提供给系统。线性卡尔克理论和非线性启发式模型的组合已被应用来计算由于轮轨接触几何形状的摩擦特性而在轮轨接触上引入的蠕变力。提出的非线性运动数学方程式被转换为一阶形式的微分方程式，即状态空间方程式，适合于数值积分。构建计算机辅助仿真，以使用四阶Runge-Kutta方法求解系统的变换后的微分方程。运用极限环和相平面法的原理来实现系统的稳定性，并评估系统在不同的轮锥度和悬架特性参数的作用下的临界临界运动速度。数值模拟模型表示在受特定参数约束的切线轨道上移动的系统的横向，偏航，侧倾和垂直运动的动态响应。检查单轮对模型以评估临界摆动速度，在该临界摆动速度下，系统在不同的车轮锥度值下出现摆动现象。得到的结果表明临界摆动速度与车轮锥度成反比，并将其与以前的模型进行比较，该模型是由4个自由度控制的轮对的侧向位移和偏航角而左右轨道的侧向位移构成的。研究了垂直主悬架弹簧刚度对垂直响应和对系统临界摆动速度的影响。结论是，必须选择主要的垂直弹簧刚度具有折衷值，以消除波动不稳定并增加系统的临界波动速度。

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