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Use of Finite Element and Finite Segment Methods in Modeling Rail Flexibility: A Comparative Study

机译:有限元法和有限分段法在钢轨柔韧性建模中的比较研究

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Safety requirements and optimal performance of railroad vehicle systems require the use of multibody system (MBS) dynamics formulations that allow for modeling flexible bodies. This investigation will present three methods suited for the study of flexible track models while conclusions about their implementations and features are made. The first method is based on the floating frame of reference (FFR) formulation which allows for the use of a detailed finite element mesh with the component mode synthesis technique in order to obtain a reduced order model. In the second method, the flexible body is modeled as a finite number of rigid elements that are connected by springs and dampers. This method, called finite segment method (FSM) or rigid finite element method, requires the use of rigid MBS formulations only. In the third method, the FFR formulation is used to obtain a model that is equivalent to the FSM model by assuming that the rail segments are very stiff, thereby allowing the exclusion of the high frequency modes associated with the rail deformations. This FFR/FS model demonstrates that some rail movement scenarios such as gauge widening can be captured using the finite element FFR formulation. The three procedures FFR, FSM, and FFR/FS will be compared in order to establish differences among them and analyze the specific application of the FSM to modeling track flexibility. Convergence of the methods is analyzed. The three methods proposed in this investigation for modeling the movement of three-dimensional tracks are used with a three-dimensional elastic wheel/rail contact formulation that predicts contact points online and allows for updating the creepages to account for the rail deformations. Several conclusions will be drawn in view of the results obtained in this investigation.
机译:铁路车辆系统的安全要求和最佳性能要求使用多体系统(MBS)动力学公式,以便对柔性体进行建模。这项调查将提出三种适用于柔性轨道模型研究的方法,并得出有关其实现和功能的结论。第一种方法基于浮动参考框架(FFR)公式,该公式允许使用带有分量模式合成技术的详细有限元网格,以便获得降阶模型。在第二种方法中,将柔性体建模为通过弹簧和阻尼器连接的有限数量的刚性元件。此方法称为有限段方法(FSM)或刚性有限元方法,仅需要使用刚性MBS公式。在第三种方法中,使用FFR公式通过假设轨道段非常坚硬来获得与FSM模型等效的模型,从而可以排除与轨道变形相关的高频模式。该FFR / FS模型演示了可以使用有限元FFR公式捕获某些轨距移动情况,例如轨距加宽。为了比较它们之间的差异并分析FSM在建模轨道灵活性方面的特殊应用,将比较三个过程FFR,FSM和FFR / FS。分析了方法的收敛性。本研究中提出的用于模拟三维轨道运动的三种方法与三维弹性轮/轨接触公式一起使用,该公式可在线预测接触点并允许更新爬电距离以解决轨道变形。鉴于本次调查的结果,将得出几个结论。

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