Identification of Geometrical Parameters of an Operational Railway Route Determined by the Curvature of the Track Axis

Authors

  • Wladyslaw KOC Faculty of Civl and Environmental Enginering Gdansk University of Technology, 11/12 G. Narutowicza Str. 80-233 Gdansk, Poland

DOI:

https://doi.org/10.14738/aivp.105.13129

Keywords:

Railway track; Curvature of the track axis; Directional angle of the route; Moving chord method; Calculation procedure; Determination of application possibilities

Abstract

The paper presents a detailed procedure for determining the curvature of the track axis with the use of the moving chord method, with a view to practical application of this method to identify the geometric parameters of the operational railway track. The method of determining the coordinates of the end of the virtual chord brought forward and backward, and then determining the curvature occurring at a given measurement point, has been explained. The presented course of action is based on the use of the given calculation formulas and is of a sequential nature; there is no need to use numerical methods. As part of the curvature calculation procedure, it is also possible to determine the values of the directional angle of the route. The verification of the application possibilities of the moving chord method was carried out in the presented calculation example, on the basis of the determined Cartesian coordinates of the axis of the railway track in use.  The obtained curvature plots, which clearly differ from the plots for model layouts as they have a less regular, oscillating character, which results from the track deformation and measurement error. However, this did not prevent them from making it possible to estimate the basic geometrical parameters of the measured layout. The implementation of the presented procedure should significantly improve the process of identifying the geometric layouts of the track in the horizontal plane.

References

Railway applications—Track—Track alignment design parameters—Track gauges 1435 mm and wider—Part 1: Plain line. EN 13803-1. 2010, European Committee for Standardization, Brussels, Belgium.

Code of federal regulations title 49 transportation. Federal Railroad Administration, 2008, US Government Printing Office, Washington, USA.

NR/L3/TRK/0030 NR_Reinstatement of Absolute Track Geometry (WCRL Routes), Iss. 1. Network Rail, 2008, London, United Kingdom.

883.2000 DB_REF-Festpunktfeld. Deutsche Bahn Netz AG, 2016, Berlin, Germany.

Standard: Railway Surveying, Version 1.0. T HR TR 13000 ST. New South Wales Government (Transport for NSW), 2016, Sydney, Australia.

PKP (Polish State Railways) 2018. Technical Standards – detailed technical conditions for the modernization or construction of railway lines for speed V_max≤ 200 km/h (for conventional rolling stock) / 250 km/h (for rolling stock with a tilting box). Volume I – Attachment ST-T1-A6: Geometrical layouts of tracks [in Polish]. Polish State Railways – Polish Railway Lines, 2018, Warszawa, Poland.

Linienführung von Gleisen, B 50 – Oberbau – Technische Grundsätze – Teil 2. Österreichische Bundesbahnen GB Fahrweg Technik, 2004, Wien, Austria.

Ausführungsbestimmungen zur Eisenbahnver-ordnung. SR 742.141.11. Schweizerische Bundesbahne, Ministerium für Verkehr, 2016, Bern, Switzerland.

Szwilski, A.-B., Dailey, P., Sheng, Z. and R.-D. Begley, Employing HADGPS to survey track and monitor movement at curves, In Proc. 8th Int. Conf. "Railway Engineering 2005", London, United Kingdom.

Li, W., Pu, H., Schonfeld, P., Song, Z., Zhang, H., Wang, L., Wang, J., Peng, X. and L. Peng, L., A method for automatically recreating the horizontal alignment geometry of existing railways. Computer‐Aided Civil and Infrastructure Engineering, 2019, 34(1): p. 71–94.

Pu, H., Zhao, L., Li, W., Zhang, J., Zhang, Z., Liang, J. and T. Song T., A global iterations method for recreating railway vertical alignment considering multiple constraints. IEEE Access, 2019, 7: p. 121199-121211.

Wang, L., Li, Z., Ge, M., Neitzel, F., Wang, Z. and H. Yuan, Validation and assessment of Multi-GNSS real-time precise point positioning in simulated kinematic mode using IGS Real-Time Service. Remote Sensing, 2018, 10(2), 337.

Alkan, R.-M., Cm-level high accurate point positioning with satellite-based GNSS correction service in dynamic applications. Journal of Spatial Science, 2019, 66(2): p. 351-359.

Quan, Y. and L. Lau., Development of a trajectory constrained rotating arm rig for testing GNSS kinematic positioning. Measurement, 2019, 140, 479–485.

Chang, L., Sakpal, N.-P., Elberink, S.-O. and H. Wang, Railway infrastructure classification and instability identification using Sentinel-1 SAR and Laser Scanning data. Sensors, 2020, 20(24), 7108.

Wu, S., Zhao, X., Pang, C., Zhang, L., Xu, Z. & K. Zou, Improving ambiguity resolution success rate in the joint solution of GNSS-based attitude determination and relative positioning with multivariate constraints. GPS Solutions, 2020, 24(1), 31.

Koc, W., Design of rail-track geometric systems by satellite measurement. Journal of Transportation Engineering, 2012, 138(1): p. 114-122.

Koc, W., Analytical method of modelling the geometric system of communication route. Mathematical Problems in Engineering, 2014, 679817.

Koc, W., Design of compound curves adapted to the satellite measurements. The Archives of Transport, 2015, 34(2): p. 37-49.

Koc, W., Design of reverse curves adapted to the satellite measurements. Advances in Civil Engineering, 2016, 6503962.

Koc, W., The method of determining horizontal curvature in geometrical layouts of railway track with the use of moving chord. Archives of Civil Engineering, 2020, 66(4): p. 579-591.

Koc, W., Analysis of the effectiveness of determining the horizontal curvature of a track axis using a moving chord. Problemy Kolejnictwa – Railway Reports, 2021, 65(190): p. 77-86.

Koc, W., Analysis of moving chord inclination angles when determining curvature of track axis, Current Journal of Applied Science and Technology, 2021, 40(10): p. 92-103.

Koc, W., Estimation of the horizontal curvature of the railway track axis with the use of a moving chord based on geodetic measurements. Journal of Surveying Engineering, 2022, 148(4), 04022007.

Ordinance the Council of Ministers of 15 October 2012 on the state system of spatial references [in Polish]. Dziennik Ustaw, 2012, pos. 1247.

Moritz, H., Geodetic Reference System 1980. Bulletin Géodésique, 1980, 54(3): p. 395–405.

Turiũo, C.-E., Gauss Krüger projection for areas of wide longitudinal extent. International Journal of Geographical Information Science, 2008, 22(6): p. 703-719.

Zhong, B. 2010. On the stability of refined L-curvature under rotation transformations. Applied Mechanics & Materials, 2010, 20-23: p. 401-406.

Guo, J. and B. Zhong, U-chord curvature: a computational method of discrete curvature [in Chinese]. Pattern Recognition and Artificial Intelligence, 2014, 27(8): p. 683-691.

Wilk, A., Specht, C., Koc, W., Karwowski, K., Chrostowski, P., Szmaglinski, J., Dabrowski, P., Specht, M., Judek, S., Skibicki, J., Skora, M. and S. Grulkowski, Research project BRIK: Development of an innovative method for determining the precise trajectory of a railway vehicle. Transportation Overview – Przegląd Komunikacyjny, 2019, 74(7): p. 32-47.

Wilk, A., Koc, W., Specht, C., Skibicki, J., Judek, S., Karwowski, K., Chrostowski, P., Szmaglinski J., Dabrowski, P., Czaplewski, K., Specht, M., Licow, R. and S. Grulkowski, Innovative mobile method to determine railway track axis position in global coordinate system using position measurements performed with GNSS and fixed base of the measuring vehicle. Measurement, 2021, 175, 109016.

Specht, C. and W. Koc, Mobile satellite measurements in designing and exploitation of rail roads. Transportation Research Procedia, 2016, 14: p. 625-634.

A guide to using IMU (accelerometer and gyroscope devices) in embedded applications. Starlino Electronics, 2009, Web side: http://www.starlino.com/imu_guide.html.

Downloads

Published

2022-09-22

How to Cite

KOC, W. (2022). Identification of Geometrical Parameters of an Operational Railway Route Determined by the Curvature of the Track Axis. European Journal of Applied Sciences, 10(5), 129–148. https://doi.org/10.14738/aivp.105.13129