The Procedure of Identifying the Geometrical Layout of an Exploited Railway Route Based on the Determined Curvature of the Track Axis

This paper presents a detailed algorithm for determining the curvature of a track axis with the use of a moving chord method, and then discusses the procedure for identifying the geometric layout of an exploited railway route on the basis of the determined curvature. In the moving chord method, the...

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Main Author: Wladyslaw Koc
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/23/1/274
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author Wladyslaw Koc
author_facet Wladyslaw Koc
author_sort Wladyslaw Koc
collection DOAJ
description This paper presents a detailed algorithm for determining the curvature of a track axis with the use of a moving chord method, and then discusses the procedure for identifying the geometric layout of an exploited railway route on the basis of the determined curvature. In the moving chord method, the measured coordinates of the track axis allow one to directly determine the existence of the horizontal curvature without the need for additional measurements. This enables comprehensively identifying the existing geometric elements—straight lines, circular arcs, and transition curves. The conducted activities were illustrated with a calculation example, including a 5.5 km long test section with five areas of directional change. This showed a sequential procedure that led to the solution of the given problem. Based on the curvature diagram, the coordinates of the segmentation points, which define the connections of the existing geometric elements with each other, were determined.
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spelling doaj.art-290a290a332a41e6b0f72235328b01ba2023-12-02T00:55:00ZengMDPI AGSensors1424-82202022-12-0123127410.3390/s23010274The Procedure of Identifying the Geometrical Layout of an Exploited Railway Route Based on the Determined Curvature of the Track AxisWladyslaw Koc0Faculty of Civil and Environmental Engineering, Gdansk University of Technology, 80-233 Gdansk, PolandThis paper presents a detailed algorithm for determining the curvature of a track axis with the use of a moving chord method, and then discusses the procedure for identifying the geometric layout of an exploited railway route on the basis of the determined curvature. In the moving chord method, the measured coordinates of the track axis allow one to directly determine the existence of the horizontal curvature without the need for additional measurements. This enables comprehensively identifying the existing geometric elements—straight lines, circular arcs, and transition curves. The conducted activities were illustrated with a calculation example, including a 5.5 km long test section with five areas of directional change. This showed a sequential procedure that led to the solution of the given problem. Based on the curvature diagram, the coordinates of the segmentation points, which define the connections of the existing geometric elements with each other, were determined.https://www.mdpi.com/1424-8220/23/1/274railway trackcurvature of the track axismoving chord methodidentification of geometric layout
spellingShingle Wladyslaw Koc
The Procedure of Identifying the Geometrical Layout of an Exploited Railway Route Based on the Determined Curvature of the Track Axis
Sensors
railway track
curvature of the track axis
moving chord method
identification of geometric layout
title The Procedure of Identifying the Geometrical Layout of an Exploited Railway Route Based on the Determined Curvature of the Track Axis
title_full The Procedure of Identifying the Geometrical Layout of an Exploited Railway Route Based on the Determined Curvature of the Track Axis
title_fullStr The Procedure of Identifying the Geometrical Layout of an Exploited Railway Route Based on the Determined Curvature of the Track Axis
title_full_unstemmed The Procedure of Identifying the Geometrical Layout of an Exploited Railway Route Based on the Determined Curvature of the Track Axis
title_short The Procedure of Identifying the Geometrical Layout of an Exploited Railway Route Based on the Determined Curvature of the Track Axis
title_sort procedure of identifying the geometrical layout of an exploited railway route based on the determined curvature of the track axis
topic railway track
curvature of the track axis
moving chord method
identification of geometric layout
url https://www.mdpi.com/1424-8220/23/1/274
work_keys_str_mv AT wladyslawkoc theprocedureofidentifyingthegeometricallayoutofanexploitedrailwayroutebasedonthedeterminedcurvatureofthetrackaxis
AT wladyslawkoc procedureofidentifyingthegeometricallayoutofanexploitedrailwayroutebasedonthedeterminedcurvatureofthetrackaxis