The paper presents an analysis of the elongation of transition curves in relation to railway track alignment correction and modernisation. The analysis is based on numerical computations for a wide range of parameters describing a typical railway geometrical layout with transition curves. The differences between the horizontal ordinates of the existing layout and the layout with the elongated transition curves are evaluated and assessed. The analytical model comprises formulated appropriate theoretical dependencies for each characteristic zone of the layout. The impacts of a circular arc radius and a route intersection angle on the elongation process are considered. Based on the theoretical assumptions, an effective numerical algorithm for comparative analysis of the transition curves’ elongation variants is developed. The value of a new circular arc radius is determined in an optimisation process. For this purpose, the indicators for process evaluation and the constraints determining the feasibility of the design variants are defined.

中文翻译：

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延长铁路过渡曲线的前景

本文介绍了与铁路路线校正和现代化相关的过渡曲线的伸长率分析。该分析基于大量参数的数值计算，这些参数描述了具有过渡曲线的典型铁路几何布局。评估和评估现有布局的水平纵坐标与带有细长过渡曲线的布局之间的差异。分析模型包括针对布局的每个特征区域制定的适当的理论依存关系。考虑圆弧半径和路径交叉角对延伸过程的影响。基于理论假设，开发了一种有效的数值算法，用于对过渡曲线的伸长率变化进行比较分析。在优化过程中确定新的圆弧半径的值。为此，定义了过程评估的指标和确定设计方案可行性的约束条件。