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首页> 外文期刊>Steel & Composite Structures: An International Journal >An analytical solution to the mapping relationship between bridge structures vertical deformation and rail deformation of high-speed railway
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An analytical solution to the mapping relationship between bridge structures vertical deformation and rail deformation of high-speed railway

机译：高速铁路桥梁结构竖向变形与轨道变形的映射关系分析解决方案

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摘要

This paper describes a study of the mapping relationship between the vertical deformation of bridge structures and rail deformation of high-speed railway, taking the interlayer interactions of the bridge subgrade CRTS II ballastless slab track system (HSRBST) into account. The differential equations and natural boundary conditions of the mapping relationship between the vertical deformation of bridge structures and rail deformation were deduced according to the principle of stationary potential energy. Then an analytical model for such relationship was proposed. Both the analytical method proposed in this paper and the finite element numerical method were used to calculate the rail deformations under three typical deformations of bridge structures and the evolution of rail geometry under these circumstances was analyzed. It was shown that numerical and analytical calculation results are well agreed with each other, demonstrating the effectiveness of the analytical model proposed in this paper. The mapping coefficient between bridge structure deformation and rail deformation showed a nonlinear increase with increasing amplitude of the bridge structure deformation. The rail deformation showed an obvious "following feature"; with the increase of bridge span and fastener stiffness, the curve of rail deformation became gentler, the track irregularity wavelength became longer, and the performance of the rail at following the bridge structure deformation was stronger.
机译：本文介绍了高速铁路桥梁结构垂直变形与高速铁路轨道变形之间的映射关系的研究，以桥接路基CRTS II否定板轨道轨道系统（HSRBST）的层间相互作用考虑在内。根据固定电位能量的原理推导出桥梁结构垂直变形与轨道变形之间的映射关系的微分方程和自然边界条件。然后提出了这种关系的分析模型。本文提出的两种分析方法和有限元数值方法都用于计算在桥梁结构的三个典型变形下的轨道变形以及在这些情况下的轨道几何的演变。结果表明，数值和分析计算结果彼此齐全，展示了本文提出的分析模型的有效性。桥梁结构变形和轨道变形之间的映射系数显示出与桥梁结构变形的幅度增加的非线性增加。轨道变形显示出明显的“以下特征”;随着桥梁跨度和紧固刚度的增加，轨道变形的曲线变得更加温和，轨道不规则波长变长，轨道在桥梁结构变形之后的性能更强。

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