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A geometric-identification–free mathematical model for recreating nonsymmetric horizontal railway alignments
Computer-Aided Civil and Infrastructure Engineering ( IF 8.5 ) Pub Date : 2024-05-22 , DOI: 10.1111/mice.13230 Miguel E. Vázquez‐Méndez 1, 2 , Gerardo Casal 2 , Alberte Castro 3 , Duarte Santamarina 2
Computer-Aided Civil and Infrastructure Engineering ( IF 8.5 ) Pub Date : 2024-05-22 , DOI: 10.1111/mice.13230 Miguel E. Vázquez‐Méndez 1, 2 , Gerardo Casal 2 , Alberte Castro 3 , Duarte Santamarina 2
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The constant passage of trains on the railways tracks causes, in the course of time, deviations that must be corrected periodically by means of a track calibration process. It consists of designing a new layout, called recreated horizontal alignment (RHA), as close as possible to the deformed center track fulfilling also the technical constraints according to the operational requirements of the railway. In recent years, different models have been proposed to address this task. This paper proposes, first, a new geometrical model that works with continuous variables for the definition of horizontal alignments (HAs) to deal with nonsymmetric transition curves at both sides of a circular curve and second, an optimization algorithm to compute the recreated alignment suitable in sinuous railway sections. This new mathematical model frees the optimization process from the need to previously identify the geometric elements (tangents, circular curves, and transition curves) of the HA. The usefulness of this model is tested with two academic examples showing its good behavior and in a real case study, where this algorithm is compared with the solution adopted by the engineers in a section of the railway line Ourense–Monforte in the NW of Spain.
中文翻译:
用于重建非对称水平铁路线形的无几何辨识数学模型
随着时间的推移,火车在铁轨上不断通过会导致偏差,必须通过轨道校准过程定期纠正。它包括设计一种新的布局,称为重建水平线形(RHA),尽可能靠近变形的中心轨道,同时满足铁路运营要求的技术限制。近年来,人们提出了不同的模型来解决这一任务。本文首先提出了一种新的几何模型,该模型使用连续变量来定义水平定线(HA),以处理圆形曲线两侧的非对称过渡曲线,其次提出了一种优化算法来计算适用于以下情况的重新创建的定线:蜿蜒的铁路路段这种新的数学模型使优化过程无需预先识别 HA 的几何元素(切线、圆曲线和缓和曲线)。该模型的实用性通过两个显示其良好行为的学术示例和真实案例研究进行了测试,其中该算法与西班牙西北部奥伦塞-蒙福特铁路线一段工程师采用的解决方案进行了比较。
更新日期:2024-05-22
中文翻译:
用于重建非对称水平铁路线形的无几何辨识数学模型
随着时间的推移,火车在铁轨上不断通过会导致偏差,必须通过轨道校准过程定期纠正。它包括设计一种新的布局,称为重建水平线形(RHA),尽可能靠近变形的中心轨道,同时满足铁路运营要求的技术限制。近年来,人们提出了不同的模型来解决这一任务。本文首先提出了一种新的几何模型,该模型使用连续变量来定义水平定线(HA),以处理圆形曲线两侧的非对称过渡曲线,其次提出了一种优化算法来计算适用于以下情况的重新创建的定线:蜿蜒的铁路路段这种新的数学模型使优化过程无需预先识别 HA 的几何元素(切线、圆曲线和缓和曲线)。该模型的实用性通过两个显示其良好行为的学术示例和真实案例研究进行了测试,其中该算法与西班牙西北部奥伦塞-蒙福特铁路线一段工程师采用的解决方案进行了比较。