Abstract
A roller coaster ride consists of a vehicle negotiating a track characterized by a sequence of spatial curves and straight lines. During the track negotiation, the occupants are subjected to accelerations that depend, not only on the car speed variation, but also on the instantaneous curvature of the track. The design of the roller coaster geometry requires reliable computational tools to simulate roller coaster rides. An important ingredient to simulate the exposure of the occupant to accelerations is the modelling of the vehicle-track interaction. In this work, an approach to model the car-track interaction is proposed, being two new path motion constraints implemented for the purpose. These constraints allow to prescribe the path of each wheelset along each one of the track rails. Two paths are generated based on the roller coaster geometry, representing the geometry of the rails of the track. A multibody models to represent the roller coaster vehicle is developed and analyzed, serving as application examples of the tools developed in this work.
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References
Fraser, T.M.: Human response to sustained acceleration: a literature review. In: Scientific and Technical Information Division, National Aeronautics and Space Administration, United States Government Printing Office, Albuquerque, New Mexico (1966)
Schmitt, K.-U., Zürich, P., Muser, M., Walz, F.: Trauma Biomechanics: Introduction to Accidental Injury. Springer, Heidelberg (2013)
Pombo, J., Ambrósio, J.: General spatial curve joint for rail guided vehicles: kinematics and dynamics. Multibody Syst. Dyn. 9(3), 237–264 (2003)
Nikravesh, P.E.: Computer-Aided Analysis of Mechanical Systems. Prentice-Hall, Englewood Cliffs (1988)
Frenet, F.: Sur les courbes à double courbure. Journal des mathématiques pures et appliquées 17, 437–447 (1852)
Lagrange, J.L., Serret, J.A., Darboux, G.: Oeuvres [de Lagrange]: Publiées par les soins de JA Serret. Gauthier-Villars, Paris (1889)
Tändl, M., Kecskemethy, A.: Singularity-free trajectory tracking with Frenet frames. In: Husty, M., Schroecker, H.-P. (eds.) Proceedings of the 1st Conference EuCoMeS. Innsbruck University Press, Obergurgl (2006)
Tändl, M.: Dynamic Simulation and Design of Roller Coaster Motion. VDI Verlag, Düsseldorf (2009)
Ambrósio, J., Antunes, P., Pombo, J.: On the requirements of interpolating polynomials for path motion constraints. In: Kecskeméthy, A., Geu Flores, F. (eds.) Interdisciplinary Applications of Kinematics: Proceedings of the International Conference, pp. 179–197. Springer, Dordrecht (2015)
Magalhães, H., Madeira, J., Ambrósio, J., Pombo, J.: Railway vehicle performance optimization using virtual homologation. Veh. Syst. Dyn. 54(9), 1177–1207 (2016)
Ambrósio, J., Neto, A.: Stabilization methods for the integration of DAE in the presence of redundant constraints. Multibody Syst. Dyn. 10(1), 81–105 (2003)
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Ambrosio, J., Antunes, P., Viegas, M. (2019). Generalized Path Following Constraints with Spatial Curves for Roller Coaster Applications. In: Lenarcic, J., Parenti-Castelli, V. (eds) Advances in Robot Kinematics 2018. ARK 2018. Springer Proceedings in Advanced Robotics, vol 8. Springer, Cham. https://doi.org/10.1007/978-3-319-93188-3_39
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DOI: https://doi.org/10.1007/978-3-319-93188-3_39
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