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A three-dimensional model for train-track-bridge dynamic interactions with hypothesis of wheel-rail rigid contact

机译：轮轨刚性接触假设的列车－轨道－桥梁动力相互作用的三维模型

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In the field of train-track-bridge interaction, there are mainly two major classifications, i.e., coupling method and uncoupling method. The uncoupling method shows advances in characterizing the nonlinear wheel-rail contacts in geometries and forces but needing to strictly satisfy solution convergence by small time step size, or iterative procedures and other alternatives needed. While for the coupling method, it possesses fairly high computational stability by satisfying geometrical compatibility and force equilibrium automatically, but there still exist large deficiencies in revealing wheel-rail contact geometries/ creepages with higher efficiency and refinement, especially with consideration of wheel-rail separations. In this paper, a three-dimensional (3-D) model for train-track-bridge interaction is proposed under the fundamentals of strongly coupling strategy with innovative methodologies. Firstly a coupling matrix for track-bridge finite element system is constructed, in which a versatile method founded on energy principle is developed. Through this method, the elemental number and form of bridges can be arbitrarily chosen. Then the key matrices for coupling the train and the track-bridge system are presented in detail, especially the matrix formulations corresponding to wheel-rail separations are introduced. Through a particular examination of this newly developed train-track-bridge dynamic model, it is found out that this model shows high computational stability, accuracy and efficiency comparing to conventional solutions; besides some key parameters such as the bridge elemental length, track-bridge section length in numerical integrations can be clarified by this model conveniently.
机译：在火车-轨道-桥梁的相互作用领域中，主要有两种主要的分类，即耦合方法和解耦方法。解耦方法在表征非线性轮轨接触的几何形状和作用力方面取得了进步，但需要通过较小的时间步长或迭代过程以及其他所需的替代方法来严格满足解决方案的收敛要求。虽然对于耦合方法，通过自动满足几何兼容性和力平衡，它具有相当高的计算稳定性，但在以更高的效率和精细度显示轮轨接触几何形状/爬电距离方面仍然存在很大的缺陷，特别是考虑到轮轨分离。本文在强耦合策略与创新方法的基础上，提出了火车-轨道-桥梁相互作用的三维（3-D）模型。首先，建立了轨道桥有限元系统的耦合矩阵，在此基础上发展了一种基于能量原理的通用方法。通过这种方法，可以任意选择桥的元素数目和形式。然后详细介绍了将火车与轨道桥系统耦合的关键矩阵，特别是介绍了对应于轮轨间距的矩阵公式。通过对该新开发的火车-轨道-桥梁动力学模型的特殊检查，发现该模型与常规解决方案相比具有较高的计算稳定性，准确性和效率。除了一些关键参数如桥梁单元长度，该模型还可以方便地阐明数值积分中的轨道桥梁断面长度。

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