References
- Bettamin D, Shabana AA, Bosso N, et al. Frenet force analysis in performance evaluation of railroad vehicle systems. Acta Mechanica. 2021;232(11):4235–4259.
- Polino M-N. « Avec les « expériences de Morcenx », la France emporte le record du monde de vitesse sur voie ferrée 28 et 29 mars 1955 », Francearchives.fr, Portail National des Archives, 1955.
- Ayasse JB, Chollet H, Pascal JP. « Modélisation simplifiée d’un bogie avec frottements secs – Application au bogie Y25 de Grenoble (échelle 1/4) », Rapport INRETS n°33., 1986.
- Heliot C, Chollet H. Small scale test method for railway dynamics: vehicle system dynamics. Swets & Zeitlinger. 1986;15.
- Pascal JP, Sauvage G. New method for reducing the multicontact wheel/rail problem to one equivalent rigid contact patch. Proceedings 12th IAVSD Symposium, Lyon; August 26–30, 1991.
- Kik W. Comparison of the behavior of different wheelset-track models. Veh Syst Dyn. 1992;20(1):325–339.
- Pascal JP. The multi-Hertzian-contact hypothesis and equivalent conicity in the case of S1002 and UIC60 analytical wheel/rail profiles. Veh SystDyn. 1993;22(2):57–78. Swets & Zeitlingrer, Lisse 1993.
- Kalker JJ. Three-dimensional elastic bodies in rolling contact. 1st ed. Dordrecht: Kluwer Academic Publishers; 1990.
- Bosso N, Spiryagin M, Gugliotta A, et al. Mechatronic modeling of real-time wheel-rail contact. book, Springer; ISBN 364236246X, 2013.
- Jaschinski A, Chollet H, Iwnicki SD, et al. The application of roller rigs to railway vehicle dynamics. Veh Syst Dyn. June 1999;31(5–6):345–392.
- Goldstein H, Poole C, Safko J. Classical mechanics. 3rd ed. London: Addison-Wesley; 2002; 1950.
- Feinman R. The Feinman lectures on physics. California Institute of Technology, Pasadena, Addison-Wesley; 1964.
- Pascal JP, Sany JR. Dynamics of an isolated railway wheelset with conformal wheel-rail interactions. Veh Syst Dyn. 2019;57(12):1947–1969.
- Shabana AA. Frenet oscillations and Frenet–Euler angles: curvature singularity and motion-trajectory analysis. Non linear Dyn. 2021;106:1–19.
- Landau LD, Lifshitz EM. Mechanics. 3rd ed., Vol 1, Course of Theoretical Physics, Moscow, Elsevier Butterworth Heinemann; 1976.
- Elkins JA, Gostling RJ. A general quasi-static curving theory for railway vehicles. Veh. Syst. Dyn. 1977;6(2–3):100–106.
- Shabana AA, Zaazaa KE, Sugiyama H. Railroad vehicle dynamics – a computational approach. CRC Press; 2008.
- Do Carmo MP. Differential geometry of curves and surfaces. 2nd ed. New York: Dover Publications; 2016.
- Ling H, Shabana AA, Pascal J-P, et al. ‘Recorded motion trajectories in interpretation and analysis of railroad oscillations and inertia forces’, rough draft of an attempt at publication 2021.