Development of a Methodology for the Geometric Parameterization of Three-Dimensional Tracks

B. Sequeira, J. Pombo, P. Antunes, J. Ambrósio, P. Woodward

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The definition of railway, tramway or roller coaster tracks requires the accurate description of their geometries, which is usually done with the parameterisation of the track ceterline. Furthermore, the definition of a reference plane where the rails sit is required. In this paper, a methodology for the accurate description of the track centerline geometry, in the framework of multibody dynamics, is presented. Three different parameterisation schemes, using cubic splines, Akima splines and shape preserving splines, are proposed. Since the track is time invariant, a pre-processor is used to define its spatial geometry. In order to achieve computational efficiency, the pre-processor generates, in a tabular manner and as a function of the track length, all the position data and other quantities required for the dynamic analysis of rail guided vehicles. The advantages and drawbacks of the proposed methodology are discussed, emphasizing the influence of the type of parametric curves used to construct the track model. The discussion is supported through the application of the formulation to the dynamic analysis of a roller coaster model with complex spatial track geometry. Special emphasis is given to the calculation of the reaction forces imposed on the roller coaster structure by the running vehicles.

LanguageEnglish
Title of host publicationProceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing
EditorsJ. Krunis, Y. Tsompanakis, B. H. V. Topping
PublisherCivil-Comp Press
ISBN (Print)9781905088638
DOIs
Publication statusPublished - 1 Sep 2015
Externally publishedYes
Event15th International Conference on Civil, Structural and Environmental Engineering Computing - Prague, Czech Republic
Duration: 1 Sep 20154 Sep 2015
Conference number: 15
http://www.ctresources.info/ccp/pub.html?f=cc15 (Link to Conference Proceedings)

Publication series

NameCivil-Comp Proceedings
PublisherCivil-Comp Press
Volume108
ISSN (Print)1759-3433

Conference

Conference15th International Conference on Civil, Structural and Environmental Engineering Computing
CountryCzech Republic
CityPrague
Period1/09/154/09/15
Internet address

Fingerprint

Parameterization
Splines
Geometry
Dynamic analysis
Rails
Computational efficiency

Cite this

Sequeira, B., Pombo, J., Antunes, P., Ambrósio, J., & Woodward, P. (2015). Development of a Methodology for the Geometric Parameterization of Three-Dimensional Tracks. In J. Krunis, Y. Tsompanakis, & B. H. V. Topping (Eds.), Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing [133] (Civil-Comp Proceedings; Vol. 108). Civil-Comp Press. https://doi.org/10.4203/ccp.108.133
Sequeira, B. ; Pombo, J. ; Antunes, P. ; Ambrósio, J. ; Woodward, P. / Development of a Methodology for the Geometric Parameterization of Three-Dimensional Tracks. Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing. editor / J. Krunis ; Y. Tsompanakis ; B. H. V. Topping. Civil-Comp Press, 2015. (Civil-Comp Proceedings).
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Sequeira, B, Pombo, J, Antunes, P, Ambrósio, J & Woodward, P 2015, Development of a Methodology for the Geometric Parameterization of Three-Dimensional Tracks. in J Krunis, Y Tsompanakis & BHV Topping (eds), Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing., 133, Civil-Comp Proceedings, vol. 108, Civil-Comp Press, 15th International Conference on Civil, Structural and Environmental Engineering Computing, Prague, Czech Republic, 1/09/15. https://doi.org/10.4203/ccp.108.133

Development of a Methodology for the Geometric Parameterization of Three-Dimensional Tracks. / Sequeira, B.; Pombo, J.; Antunes, P.; Ambrósio, J.; Woodward, P.

Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing. ed. / J. Krunis; Y. Tsompanakis; B. H. V. Topping. Civil-Comp Press, 2015. 133 (Civil-Comp Proceedings; Vol. 108).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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AB - The definition of railway, tramway or roller coaster tracks requires the accurate description of their geometries, which is usually done with the parameterisation of the track ceterline. Furthermore, the definition of a reference plane where the rails sit is required. In this paper, a methodology for the accurate description of the track centerline geometry, in the framework of multibody dynamics, is presented. Three different parameterisation schemes, using cubic splines, Akima splines and shape preserving splines, are proposed. Since the track is time invariant, a pre-processor is used to define its spatial geometry. In order to achieve computational efficiency, the pre-processor generates, in a tabular manner and as a function of the track length, all the position data and other quantities required for the dynamic analysis of rail guided vehicles. The advantages and drawbacks of the proposed methodology are discussed, emphasizing the influence of the type of parametric curves used to construct the track model. The discussion is supported through the application of the formulation to the dynamic analysis of a roller coaster model with complex spatial track geometry. Special emphasis is given to the calculation of the reaction forces imposed on the roller coaster structure by the running vehicles.

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Sequeira B, Pombo J, Antunes P, Ambrósio J, Woodward P. Development of a Methodology for the Geometric Parameterization of Three-Dimensional Tracks. In Krunis J, Tsompanakis Y, Topping BHV, editors, Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing. Civil-Comp Press. 2015. 133. (Civil-Comp Proceedings). https://doi.org/10.4203/ccp.108.133