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首页> 外文会议>American Society of Mechanical Engineers(ASME) Rail Transportation Division Fall Conference; 20070911-12; Chicago,IL(US) >EQUATIONS OF MOTION FOR TRAIN DERAILMENT DYNAMICS
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EQUATIONS OF MOTION FOR TRAIN DERAILMENT DYNAMICS

机译：列车减振动力学的运动方程

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This paper describes a planar or two-dimensional model to examine the gross motions of rail cars in a generalized train derailment. Three coupled, second-order differential equations are derived from Newton's Laws to calculate rigid-body car motions with time. Car motions are defined with respect to a right-handed and fixed (i.e., non-rotating) reference frame. The rail cars are translating and rotating but not deforming. Moreover, the differential equations are considered as stiff, requiring relatively small time steps in the numerical solution, which is carried out using a FORTRAN computer code. Sensitivity studies are conducted using the purpose-built model to examine the relative effect of different factors on the derailment outcome. These factors include the number of cars in the train makeup, car mass, initial translational and rotational velocities, and coefficients of friction. Derailment outcomes include the number of derailed cars, maximum closing velocities (i.e., relative Velocities between impacting cars), and peak coupler forces. Results from the purpose-built model are also compared to those from a model for derailment dynamics developed using commercial software for rigid-body dynamics called Automatic Dynamic Analysis of Mechanical Systems (ADAMS). Moreover, the purpose-built and the ADAMS models produce nearly identical results, which suggest that the dynamics are being calculated correctly in both models. This material is declared a work of the U.S. Government and is not subject to copyright protection in the United States. Approved for public release; distribution is unlimited.
机译：本文描述了一个平面或二维模型，以检查广义列车脱轨中有轨电车的总体运动。从牛顿定律推导出三个耦合的二阶微分方程，以计算随时间变化的刚体汽车运动。轿厢运动是相对于右手固定的（即非旋转的）参考系定义的。轨道车正在平移和旋转，但没有变形。此外，微分方程被认为是刚性的，在数值解中需要相对较小的时间步长，这是使用FORTRAN计算机代码执行的。使用专用模型进行敏感性研究，以检验不同因素对脱轨结果的相对影响。这些因素包括列车组成中的轿厢数量，轿厢质量，初始平移和旋转速度以及摩擦系数。脱轨结果包括脱轨汽车的数量，最大关闭速度（即，碰撞汽车之间的相对速度）以及峰值耦合器力。还将专用模型的结果与使用商用软件（用于机械系统的自动动态分析（ADAMS））用于刚体动力学的软件开发的脱轨动力学模型的结果进行比较。此外，专用模型和ADAMS模型产生的结果几乎相同，这表明两个模型中的动力学计算都正确。此材料被声明为美国政府的作品，在美国不受版权保护。批准公开发布；发行是无限的。

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