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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 108
PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping
Paper 133

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

B. Sequeira1,2, J. Pombo1,2,3, P. Antunes1, J. Ambrósio1 and P. Woodward3

1IDMEC, Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal
2ISEL, Polytechnic Institute of Lisbon, Portugal
3School of Energy, Geoscience, Infrastructure & Society, Heriot-Watt University, Edinburgh, United Kingdom

Full Bibliographic Reference for this paper
B. Sequeira, J. Pombo, P. Antunes, J. Ambrósio, P. Woodward, "Development of a Methodology for the Geometric Parameterization of Three-Dimensional Tracks", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 133, 2015. doi:10.4203/ccp.108.133
Keywords: rail guided vehicles, track parameterisation, curve geometry, multibody systems, track reaction forces.

Summary
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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