Frenet force analysis in performance evaluation of railroad vehicle systems
Frenet force analysis in performance evaluation of railroad vehicle systems
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DOI：
10.1007/s00707-021-03045-x
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发表时间：
2021-08
期刊：
影响因子：
2.7
通讯作者：
Dario Bettamin;A. Shabana;N. Bosso;Nicolò Zampieri
中科院分区：
文献类型：
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作者：
Dario Bettamin;A. Shabana;N. Bosso;Nicolò Zampieri
本文采用数据驱动的科学方法，结合非线性多体系统（MBS）理论和新的几何概念，对两种广泛使用的铁路转向架：三件式转向架和Y25转向架的性能进行了比较。采用MBS算法求解转向架非线性微分/代数方程组，确定转向架运动轨迹。为了更好地理解转向架的动力学行为，区分了实际运动轨迹（AMT）的几何形状和轨道几何形状。AMT曲线使用运动相关的Frenet-Euler角（称为Frenet倾斜角、曲率角和垂直展开角）进行描述，这些角与轨道几何形状描述中使用的对应角不同。特别是，Frenet倾斜角定义了AMT曲线密切平面（称为运动平面）的超高，将此Frenet超高与时间固定的轨道超高区分开来。本文阐述了在实践中用于确定平衡速度的横向轨迹平面力平衡和基于记录运动轨迹的Frenet力平衡之间的差异。转向架在轨道上行驶的计算机模拟，包括切线，螺旋和曲线部分进行特别注意的AMT曲线从轨道中心线的偏差。在这项研究中获得的结果表明，AMT曲线的几何形状的轮对向前运动的依赖，突出的限制，使用辊试验台进行的测试，不允许纵向轮对运动。
Adata-driven scienceapproach, based on integrating nonlinearmultibody system(MBS) formulations and new geometric concepts, is used in this paper to compare the performance of two widely used railroad bogies: thethree-piece bogieand theY25 bogie. MBS algorithms are used to solve the bogie nonlinear differential/algebraic equations (DAEs) to determine the bogie motion trajectories. To have a better understanding of the bogie dynamic behavior, a distinction is made between the geometry ofactual motion trajectories(AMT) and the track geometry. The AMT curves are described using the motion-dependent Frenet–Euler angles, referred to as Frenet bank, curvature, and vertical development angles, which differ from their counterparts used in the description of the track geometry. In particular, the Frenet bank angle defines the super-elevation of the AMT curveosculating plane, referred to as themotion plane, distinguishing this Frenet super-elevation from the fixed-in-time track super-elevation. The paper explains the difference between thelateral track plane force balanceused in practice to determine the balance speed and theFrenet force balancewhich is based on recorded motion trajectories. Computer simulations of bogies travelling on a track, consisting of tangent, spiral, and curve sections are performed with particular attention given to the deviations of the AMT curves from the track centerline. The results obtained in this study demonstrate the dependence of the AMT curve geometry on the wheelset forward motion, highlighting the limitations of tests performed using roller test rigs which do not allow longitudinal wheelset motion.