Wu Nanhao, Yang Hongyin, Afsar Haleem, Wang Bo, Fan Jianfeng
School of Civil Engineering and Architecture, Wuhan Institute of Technology, Wuhan 430073, China.
National Key Laboratory of Bridge Intelligent and Green Construction, Wuhan 430034, China.
Sensors (Basel). 2023 Oct 18;23(20):8550. doi: 10.3390/s23208550.
This paper introduces an innovative model for heavy-haul train-track-bridge interaction, utilizing a coupling matrix representation based on the virtual work principle. This model establishes the relationship between the wheel-rail contact surface and the bridge-rail interface concerning internal forces and geometric constraints. In this coupled system's motion equation, the degrees of freedom (DOFs) of the wheelsets in a heavy-haul train lacking primary suspension are interdependent. Additionally, the vertical and nodding DOFs of the bogie frame are linked with the rail element. A practical application, a Yellow River Bridge with a heavy-haul railway line, is used to examine the accuracy of the proposed model with regard to discrepancy between the simulated and measured displacement ranging from 1% to 11%. A comprehensive parametric analysis is conducted, exploring the impacts of track irregularities of varying wavelengths, axle load lifting, and the degradation of bridge stiffness and damping on the dynamic responses of the coupled system. The results reveal that the bridge's dynamic responses are particularly sensitive to track irregularities within the wavelength range of 1 to 20 m, especially those within 1 to 10 m. The vertical displacement of the bridge demonstrates a nearly linear increase with heavier axle loads of the heavy-haul trains and the reduction in bridge stiffness. However, there is no significant rise in vertical acceleration under these conditions.
本文介绍了一种用于重载列车 - 轨道 - 桥梁相互作用的创新模型，该模型基于虚功原理采用耦合矩阵表示法。此模型建立了轮轨接触面与桥轨界面之间关于内力和几何约束的关系。在这个耦合系统的运动方程中，无一次悬挂的重载列车轮对的自由度是相互依存的。此外，转向架构架的垂向和点头自由度与轨道单元相联系。通过一个带有重载铁路线的黄河大桥的实际应用，来检验所提模型在模拟位移与实测位移之间1%至11%的差异方面的准确性。进行了全面的参数分析，探讨了不同波长的轨道不平顺、轴重提升以及桥梁刚度和阻尼退化对耦合系统动态响应的影响。结果表明，桥梁的动态响应对于波长范围在1至20米内的轨道不平顺特别敏感，尤其是1至10米内的不平顺。桥梁的垂向位移随着重载列车轴重增加和桥梁刚度降低呈现近似线性增加。然而，在这些条件下垂向加速度没有显著上升。
