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

  1. Casal, Gerardo
  2. Castro, Alberte
  3. Santamarina, Duarte
  4. Vázquez-Méndez, Miguel E.
Libro:
Structural Integrity. Advances in Computational Mechanics and Applications

ISSN: 2522-560X 2522-5618

ISBN: 9783031497902 9783031497919

Ano de publicación: 2024

Páxinas: 401-420

Tipo: Capítulo de libro

DOI: 10.1007/978-3-031-49791-9_28 GOOGLE SCHOLAR lock_openAcceso aberto editor

Obxectivos de Desenvolvemento Sustentable

Resumo

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.

Referencias bibliográficas

  • 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)
  • 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
  • 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
  • Castro, A., Casal, G., Santamarina, D., Vázquez-Méndez, M.E.: A simple method for automatic recreation of railway horizontal alignments. Manuscript submitted for publication.
  • 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
  • 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)
  • 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)
  • Hans, Z., Souleyrette, R., Bogenreif, C.: Horizontal Curve Identification and Evaluation, Iowa State University, Ames, IA. (2012)
  • 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)
  • 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
  • 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
  • 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
  • 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
  • Nocedal, J., Wright, S.J.: Numerical Optimization, Springer Series in Operations Research and Financial Engineering, Springer Science+Business Media, New York (2006)
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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