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Dynamic Train-Track-Bridge Interaction on Example of the Boyne Viaduct

机译:博因高架桥实例的动态列车-桥梁之间的相互作用

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This paper describes the formulation, application and validation of arnnumerical model used by authors to simulate the dynamic interaction between arntrain, rail track and bridge. The model was developed to investigate the influence ofrndynamics effects on the vertical displacements of the Boyne Viaduct, Drogheda,rnIreland. Separate models were formulated for bridge, rail track and rolling stock.rnThe spatial lattice structure of the Boyne Viaduct was modelled as an assemblage ofrnthree-dimensional beam finite elements. The finite difference method was applied tornmodel the rail track because of its ease of implementation. The two-dimensionalrnrolling stock model consists of lumped masses, springs and dampers and is capablernof simulating vertical motions of trains traversing bridges.rnContact between wheels and rails was modelled using the Hertzian springs.rnThese springs allow the forces transmitted from the rolling stock to the track to berncalculated as a function of time and rail penetration. The connections between trackrnand bridge models are represented by spring elements with stiffness equivalent tornsleepers stiffness.rnThe direct time stepping Runge-Kutta method was applied to numericalrnintegration of the system’s equations of motion. The method was chosen because ofrnits good accuracy and because it allows the vibrations of particular bridge member tornbe found.rnThe numerical model was tested on the Boyne Viaduct. The testing involvedrncalculation of vertical displacements, velocities and accelerations of the bridgernnodes. In order to validate the model developed by the authors similar to model ofrnthe test case was generated using the commercial FEM package ANSYS. InherentrnANSYS contact elements were used to represent wheel-rail contact phenomenon.rnThe full transient dynamic analysis was carried out to establish structure response torna moving train model.rnResults from both packages were compared and discussed, in particular therndiscrepancies between these results were considered. Selected results from authors’rnnumerical model were presented.
机译:本文介绍了作者用来模拟火车,铁路轨道和桥梁之间​​的动力相互作用的航空模型的建立,应用和验证。开发该模型的目的是研究rndynamics效应对爱尔兰Drogheda的Boyne高架桥的垂直位移的影响。分别为桥梁,铁路和机车车辆建立了单独的模型。博恩高架桥的空间晶格结构被建模为三维三维有限元的组合。有限差分法由于易于实现而被应用于铁路轨道的建模。二维滚动体模型由集总质量,弹簧和阻尼器组成,并且能够模拟列车横穿桥梁的垂直运动.rn车轮和轨道之间的接触是使用赫兹弹簧进行建模的.rn这些弹簧允许力从滚动体传递到轨道上作为时间和铁轨穿透力的函数进行计算。弹簧和桥梁模型之间的连接由弹簧刚度表示,刚度等于枕木刚度。rn将直接步进Runge-Kutta方法应用于系统运动方程的数值积分。选择该方法是因为其精度高,并且可以发现特定桥梁构件的振动。在波恩高架桥上对数值模型进行了测试。测试包括计算桥节点的垂直位移,速度和加速度。为了验证由作者开发的类似于模型的模型,使用商业FEM软件包ANSYS生成了测试用例。 InherentrnANSYS接触元件用于表示轮轨接触现象。rn进行了完整的瞬态动力学分析,以建立动车模型的结构响应。rn比较并讨论了两个软件包的结果,尤其是考虑了这些结果之间的差异。介绍了作者数值模型的部分结果。

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