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A Mathematical Approach for Recreation Non-symmetric 2D Railway Alignments

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Advances in Computational Mechanics and Applications (OES 2023)

Part of the book series: Structural Integrity ((STIN,volume 29))

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Abstract

The constant passage of trains on the railways tracks causes, in the course of time, geometric deviations that must be corrected periodically by means of a track calibration process. It consists of designing a new horizontal alignment, called recreated alignment, 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, firstly, a new geometrical model for the definition of horizontal alignments to deal with non symmetric transition curves at both sides of a circular curve and secondly, a two-stage optimization algorithm to compute the recreated alignment. The usefulness of this model is tested with two academic examples showing its good behavior. The paper ends with a conclusions section in which a brief description of future work is also presented.

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References

  1. Ben-Arieh, D., Chang, S., Rys, M., Zhang, G.: Geometric modeling of highways using global positioning system data and B-spline approximation, J. Transp. Eng., 130(5), 632–636 (2004) https://doi.org/10.1061/(ASCE)0733-947X(2004)130:5(632)

  2. Camacho-Torregrosa, F. J., Pérez-Zuriaga, A. M., Campoy-Ungría, J. M., García, A., Tarko, A. P.: Use of heading direction for recreating the horizontal alignment of an existing road. Comput.-Aided Civ. Inf., 30(4), 282–299 (2015) https://doi.org/10.1111/mice.12094

  3. Casal, G., Santamarina, D., Vázquez-Méndez, M.E.: Optimization of horizontal alignment geometry in road design and reconstruction. Transpot. Res. C-Emer. 74, 261–274 (2017) https://doi.org/10.1016/j.trc.2016.11.019

  4. Castro, A., Casal, G., Santamarina, D., Vázquez-Méndez, M.E.: A simple method for automatic recreation of railway horizontal alignments. Manuscript submitted for publication.

    Google Scholar 

  5. Castro, M., Iglesias, L., Rodríguez-Solano, R., Sánchez, J. A.: Geometric modeling of highways using global positioning system (GPS) data and spline approximation, Transport. Res.C-Emer. 14(4), 233–243 (2006) https://doi.org/10.1016/j.trc.2006.06.004

  6. Dong, H., Easa, S., Li, J.: Approximate extraction of spiralled horizontal curves from satellite imagery, J. Surv. Eng., 133(1), 36–40 (2007) https://doi.org/10.1061/(ASCE)0733-9453(2007)133:1(36)

  7. Easa, S., Dong, H., Li, J.: Use of satellite imagery for establishing road horizontal alignments, J. Surv. Eng., 133(1), 29–35 (2007) https://doi.org/10.1061/(ASCE)0733-9453(2007)133:1(29)

  8. Hans, Z., Souleyrette, R., Bogenreif, C.: Horizontal Curve Identification and Evaluation, Iowa State University, Ames, IA. (2012)

    Google Scholar 

  9. Hummer, J. E., Rasdorf, W. J., Findley, D. J., Zegeer, C. V.,Sundstrom, C. A.: Procedure for Curve Warning Signing, Delineation, and Advisory Speeds for Horizontal Curves, Technical Report, FHWA/NC/2009-07, Department of Civil, Construction and Environmental Engineering, North Carolina (2010)

    Google Scholar 

  10. Imran, M., Hassan, Y., Patterson, D.: GPS-GIS-based procedure for tracking vehicle path on horizontal alignments, Comput.-Aided Civ. Inf., 21 382–394 (2006) https://doi.org/10.1111/j.1467-8667.2006.00444.x

  11. Li, W., Pu, H., Schonfeld, P., Song, Z., Zhang, H., Wang, L., Wang, J., Peng, X., Peng, L.: A method for automatically recreating the horizontal alignment geometry of existing railways, Comput.-Aided Civ. Inf., 34, 71–94 (2018) https://doi.org/10.1111/mice.12392

  12. Li, W., Zhen, S., Schonfeld, P., Pu, H., Zhang, Z., Wang, L., Zhao, L., Qui, X., Wei, F., Yan, W.: Recreating Existing Railway Horizontal Alignments Automatically Using Overall Swing Iteration, J. Transp. Eng. A-Syst., 148(8) (2022) https://doi.org/10.1061/JTEPBS.0000691

  13. Li, Z., Chitturi, M. V., Bill, A. R., Noyce, D. A.: Automated identification and extraction of horizontal curve information from geographic information system roadway maps, Transport. Res. Rec., 2291, 80–92 (2012) https://doi.org/10.3141/2291-10

  14. Nocedal, J., Wright, S.J.: Numerical Optimization, Springer Series in Operations Research and Financial Engineering, Springer Science+Business Media, New York (2006)

    Google Scholar 

  15. Othman, S., Thomson, R., Lannér, G.: Using naturalistic field operational test data to identify horizontal curves, J. Transp. Eng., 138(9), 1151–1160 (2012) https://doi.org/10.1061/(ASCE)TE.1943-5436.0000408

  16. Tsai, Y., Wu, J., Wang, Z., Hu, Z.: Horizontal roadway curvature computation algorithm using vision technology, Comput.-Aided Civ. Inf., 25, 78–88 (2010) https://doi.org/10.1111/j.1467-8667.2009.00622.x

  17. Vázquez-Méndez, M.E., Casal, G.; The clothoid computation: a simple and efficient numerical algorithm. J. Surv. Eng. 142(3), 04016005 (2016) https://doi.org/10.1061/(ASCE)SU.1943-5428.0000177

  18. Vázquez-Méndez, M.E., Casal, G., Castro, A., Santamarina, D.: A 3D model for optimizing infrastructure costs in road design. Comput.-Aided Civ. Inf. 33, 423-439 (2018) https://doi.org/10.1111/mice.12350

  19. Vázquez-Méndez, M.E., Casal, G., Castro, A., Santamarina, D.: Optimization of an urban railway bypass. A case study in A Coruña-Lugo line, Northwest of Spain, Comput. Ind. Eng., 151, 106935 (2021) https://doi.org/10.1016/j.cie.2020.106935

  20. Vázquez-Méndez, M.E., Casal, G., Castro, A., Santamarina, D.: An algorithm for random generation of admissible horizontal alignments for optimum layout design, Comput.-Aided Civ. Inf., 36, 1056–1072 (2021) https://doi.org/10.1111/mice.12682

  21. Vázquez-Méndez, M.E., Casal, G., Castro, A., Santamarina, D.: An automatic method for generating multiple alignment alternatives for a railway bypass, Comput. Oper. Res., 154, 106217 (2023) https://doi.org/10.1016/j.cor.2023.106217

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Acknowledgments

This research was funded by Ministerio de Ciencia e Innovación (Spain) grant number TED2021-129324B-I00, and by the collaboration agreement between Xunta de Galicia (Spain) and Universidade de Santiago de Compostela (Spain) which regulates the Specialization Campus “Campus Terra”. Finally, second authors thanks the support given by Xunta de Galicia (Spain) under research projects ref. ED341D R2016/023 and third author has received financial support from the Xunta de Galicia (2021 GRC GI-1563-ED431C2021/15).

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Correspondence to Duarte Santamarina .

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Casal, G., Castro, A., Santamarina, D., Vázquez-Méndez, M.E. (2024). A Mathematical Approach for Recreation Non-symmetric 2D Railway Alignments. In: Pavlou, D., et al. Advances in Computational Mechanics and Applications. OES 2023. Structural Integrity, vol 29. Springer, Cham. https://doi.org/10.1007/978-3-031-49791-9_28

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  • DOI: https://doi.org/10.1007/978-3-031-49791-9_28

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