Modelling tracks for roller coaster dynamics

International Journal of Vehicle Design

Volumn 45, Issue 4, 2007, Pages 470-500

  Pombo, João ^a,b   Ambrósio, Jorge ^b  

^a INSTITUTO POLITÉCNICO DE TOMAR   (Portugal)

^b INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

Akima splines; Frenet frame; Prescribed motion constraint; Railway parameterisation; Shape preserving splines; Spatial curve geometry; Track reaction forces

Indexed keywords

DATABASE SYSTEMS; DYNAMIC ANALYSIS; INTERPOLATION; PARAMETERIZATION;

AKIMA SPLINES; FRENET FRAME; PRESCRIBED MOTION CONSTRAINT; RAILWAY PARAMETERIZATION; SHAPE-PRESERVING SPLINES; SPATIAL CURVE GEOMETRY; TRACK REACTION FORCES;

RAILROAD TRACKS;

EID: 34848922719     PISSN: 01433369     EISSN: None     Source Type: Journal    
DOI: 10.1504/IJVD.2007.014916     Document Type: Article

References (30)

1. Akima, H. (1970) 'A new method of interpolation and smooth curve fitting based on local procedures', Association for Computing Machinery, Vol. 17, No. 4, pp.589-602.
2. Ambrósio, J. (1997) Trainset Kinematic: A Planar Analysis Program for the Study of the Gangway Insertion Points, Technical Report IDMEC/CPM/97/005, Institute of Mechanical Engineering, Instituto Superior Técnico, Lisbon, Portugal.
3. Anand, V.B. (1994) Computer Graphics and Geometric Modelling for Engineering, J. Wiley, New York.
4. Andersson, E., Berg, M. and Stichel, S. (1998) Rail Vehicle Dynamics, Fundamentals and Guidelines, Royal Institute of Technology (KTH), Stockholm, Sweden.
5. Beer, F.P. and Johnston, E.R. (1990) Vector Mechanics for Engineers: Dynamics, McGraw Hill, London, United Kingdom.
6. British-Rail, R. (1997) Introduction to Railway Vehicle Dynamics, AEA Technology plc., London, UK.
7. de Boor, C. (1978) A Practical Guide to Splines, Springer-Verlag, New York.
8. DeVore, R.A. and Lorentz, G.G. (1993) Constructive Approximation, Springer-Verlag, Berlin, Germany.
9. Dukkipati, R.V. and Amyot, J.R. (1988) Computer-Aided Simulation in Railway Dynamics, M. Dekker Inc., New York.
10. Farin, G.E. (1990) Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide, Academic Press, Boston, Massachusetts.
11. Garg, V.K. and Dukkipati, R.V. (1984) Dynamics of Railway Vehicle Systems, Academic Press, New York.
12. Irvine, L.D., Marin, S.P. and Smith, P.W. (1986) 'Constrained interpolation and smoothing', Constructive Approximation, Vol. 2, pp. 129-151.
13. MDI, M.D. ( 1995) ADAMS/Rail 9.1: Technical Manual, Ann Arbor, Michigan.
14. MDI, M.D. (1998) ADAMS/View 9.0: Training Documentation, Ann Arbor, Michigan.
15. MDI, M.D. (1999) ADAMS/Rail 9.1.1 ADtranz Milestone I: Release Notes, Ann Arbor, Michigan.
16. Micchelli, C.A., Smith, P.W., Swetits, J. and Ward, J.D. (1985) 'Constrained Lp approximation', Constructive Approximation, Vol. 1, pp.93-102.
17. Mortenson, M.E. (1985) Geometric Modelling, Wiley, New York.
18. Nikravesh, P.E. (1988) Computer-Aided Analysis of Mechanical Systems, Prentice-Hall, Englewood Cliffs, New Jersey.
19. Pina, H.L.G. (1995) Métodos Numéricos (Numerical Methods), McGraw-Hill, Lisbon, Portugal.
20. Pombo, J. (2004) A Multibody Methodology for Railway Dynamics Applications, PhD Dissertation, Instituto Superior Técnico, Lisbon, Portugal.
21. Pombo, J. and Ambrósio, J. (2000) Avaliação do Desempenho dos Modelos dos Veículos Ferroviários nas Vias da REFER e do Metropolitano de Lisboa, Technical Report No. 20 of PEDIP Project No. 25/00379 on Dinâmica de Veículos Ferroviários, Lisbon, Portugal.
22. Pombo, J. and Ambrósio, J. (2001) 'General rail track joint for the dynamic analysis of rail guided vehicles', in Ibrahimbegovic, A. and Schiehlen, W. (Eds.): Proceedings of the Euromech Colloquium No. 427 on Computational Techniques and Applications in Nonlinear Dynamics of Structures and Multibody Systems(in CD), Cachan, France, 24-27 September, pp. 1-23.
23. Pombo, J. and Ambrósio, J. (2002a) 'Development of a roller coaster model', in Goicolea, J., Soares, C.M., Pastor, M. and Bugeda, G. (Eds.): Proceedings of the Métodos Numéricos en Ingeniería V (in CD), Madrid, Spain, 3-6 June, pp. 1-27.
24. Pombo, J. and Ambrósio, J. (2002b) 'Development of a roller coaster model', in Schiehlen, W. and Valasek, M. (Eds.): Proceedings of the NATO-ASI on Virtual Nonlinear Multibody Systems, Prague, Czech Republic, 23 June-3 July, Vol. 2, pp. 195-203.
25. Pombo, J. and Ambrósio, J. (2003a) 'General spatial curve joint for rail guided vehicles: kinematics and dynamics', Multibody Systems Dynamics, Vol. 9, pp.237-264.
26. Pombo, J. and Ambrósio, J. (2003b) 'A general track model for rail guided vehicles dynamics', in Barbosa, J.I. (Ed.): Proceedings of the VII Congresso de Mecânica Aplicada e Computacional, Évora, Portugal, 14-16 April, Vol. 2, pp.47-56.
27. Pombo, J. and Ambrósio, J. (2003c) 'A wheel-rail contact model for rail guided vehicles dynamics', in Ambrósio, J. (Ed.): Proceedings of the ECCOMAS Thematic Conference on Advances in Computational Multibody Dynamics (in CD), Lisbon, Portugal, 1-4 July, pp. 1-26.
28. Visual Numerics, I. (1997) IMSL Fortran 90 Math Library 4.0: Fortran Subroutines for Mathematical Applications, Huston, Texas.
29. Wayne, T. (1998) Roller Coaster Physics: An Educational Guide to Roller Coaster Design and Analysis for Teachers and Students, Charlottesville, Virginia.
30. Yamaguchi, F. (1988) Curves and Surfaces in Computer Aided Geometric Design, Springer-Verlag, Berlin, Germany.