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On the nonlinear dynamics of a high-speed railway vehicle with nonsmooth elements

机译:具有非光滑元素的高速铁路车辆的非线性动力学

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A comprehensive lateral mathematical model of a high-speed railway vehicle with 17 degrees of freedom is built to study its nonlinear dynamics on a straight line. The hunting stability is explored by using eigenvalue analysis, bifurcation diagrams and the first Lyapunov coefficient. Due to the non-smoothness in the wheel/rail contact table and the secondary suspension elements such as anti-yaw dampers, bump stops, etc., an event-driven strategy is applied in the integration process of the ODEs. As an example, the nonlinear dynamics of a Chinese Railway High-speed (CRH) vehicle (named CRH2) is investigated. The result shows that the stable equilibrium of the high-speed railway vehicle loses its stability through a supercritical Hopf bifurcation with the increase of the forward speed, and the stable periodic solution loses its stability through a grazing bifurcation with the decrease of the forward speed. The influence of primary system parameters on the hunting stability of the high-speed railway vehicle is also investigated. (C) 2019 Elsevier Inc. All rights reserved.
机译:建立了具有17个自由度的高速铁路车辆的综合横向数学模型,以研究其在直线上的非线性动力学。通过使用特征值分析,分叉图和第一个Lyapunov系数来探索狩猎稳定性。由于轮轨接触台和辅助悬挂元件(如偏航阻尼器,碰碰止动块等)的不光滑性,在ODE的集成过程中采用了事件驱动策略。例如,研究了中国铁路高速(CRH2)车辆的非线性动力学特性。结果表明,随着前进速度的增加,高速铁路车辆的稳定平衡通过超临界Hopf分支而失去稳定性,而随着前进速度的降低,稳定的周期解由于掠入的分支而失去稳定性。还研究了主要系统参数对高速铁路车辆行进稳定性的影响。 (C)2019 Elsevier Inc.保留所有权利。

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