History of stability of railway and road vehicles

Vehicle System Dynamics

Volumn 31, Issue 5-6, 1999, Pages 283-323

  Knothe, K ^a   Bohm F ^b  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

KINEMATICS; LOCOMOTIVES;

RAILWAY VEHICLE STABILITY;

AUTOMOTIVE ENGINEERING;

EID: 0344210412     PISSN: 00423114     EISSN: None     Source Type: Journal    
DOI: 10.1076/vesd.31.5.283.8362     Document Type: Article

References (123)

1. G. Becker, H. Fromm, and H. Maruhn. Schwingungen in Automobillenkungen, M. Krayn, Berlin, 1931.
2. B. Bergander. Private communication. Guest lecture at TU Berlin, 1993.
3. A. Bhaskar, K.L. Johnson, G.D. Wood, and J. Woodhouse. Wheel-rail dynamics with closely conformal contact. Part 1: Dynamic modelling and stability analysis. Proc. Instn. Mech. Engrs., 211(F):11-26, 1997.
4. A. Bhaskar, K.L. Johnson, and J. Woodhouse. Wheel-rail dynamics with closely conformal contact. Part 2: Forced response, results and conclusions. Proc. Instn. Mech. Engrs., 211(F):27-40, 1997.
5. Chr. Boedecker. Die Wirkungen zwischen Rad und Schiene und ihre Einflüsse auf den Lauf und den Bewegungswiderstand der Fahrzeuge in den Eisenbahnzügen. Hahn'sche Buchhandlung, Hannover, 1887.
6. F. Böhm. Der Roll-Vorgang des Automobilrades. ZAMM, 43:Z56-Z60, 1963.
7. F. Böhm. Zur Mechanik des Luftreifens. Habilitationsschrift, TH Stuttgart, 1966.
8. F. Böhm. Zur Statik und Dynamik des Gürtelreifens. ATZ, 96:255-261, 1967.
9. F. Böhm and K. Knothe (Eds.). Hochfrequenter Rollkontakt der Fahrzeugräder. Ergebnisse aus dem gleichnamigen Sonderforschungsbereich an der Technischen Universität Berlin. Wiley-VCH, Weinheim, 1998.
10. F. Böhm and H.-P. Willumeit (Eds.). Tyre Models for Vehicle Dynamics Analysis. Proceedings of the 2nd International Colloquium on Tyre Models for Vehicle Dynamics Analysis held at the Technical University of Berlin, February 20-21, 1997. Supplement to Vehicle System Dynamics, Volume 21, Lisse et al., 1996. Swets & Zeitlinger.
11. F. Böhm and H.P. Willumeit. Dynamic behaviour of motorbikes. In The Design, Qualification and Maintenance of Vibration-Free Landing Gear. AGARD Report 800. Papers presented at the 81st Meeting of the AGARD Structures and Materials Panel, held in Banff, Canada, October 1995, pp. 6.1-6.24. AGARD, 1996.
12. P. van Bommel. Application de la théorie des vibrations nonlineaires sur le problem du mouvement de lacet d'un vehicule de chemin de fer. Dissertation, TH Delft, 1964.
13. H. Bufler. Zur Theorie der rollenden Reibung. Ing.-Arch., XXVII:137-152, 1959.
14. B. Cain. Contribution to Poritsky's paper on Stresses and deflections of cylindrical bodies in contact with application to contact of gears and locomotive wheels. J. Appl. Mech., 17:338-340, 1950.
15. B.S. Cain. Safe operations on high-speed locomotives. Trans. Americ. Soc. Mech. Engrs., 57:471-479, 1935.
16. B.S. Cain. Discussion to Cain's paper on Safe operations on high-speed locomotives. Trans. Americ. Soc. Mech. Engrs., 158:244-246, 1936.
17. B.S. Cain. Notes on the dynamics of electric locomotives. J. Appl. Mech., 8:A30-A36, 1941.
18. F.W. Carter. The electric locomotive. Proc. Inst. Civil Engn., 201:221-252, 1915.
19. F.W. Carter. On the action of a locomotive driving wheel. Proc. R. Soc. Lond., A 112:151-157, 1926.
20. F.W. Carter. On the stability of running of locomotives. Proc. Roy. Soc., A 121:585-610, 1928.
21. I.A. Castelazo. Linearization of Nonlinear Rail Vehicle Models with Random Inputs in the Presence of Limit Cycles. Dissertation, Massachusetts Institute of Technology, 1981.
22. A. Chattel. Propriétés générales des contacts de roulement. Théorie des similitudes. Compt. rend. Acad. Science, 225:986-988, 1947.
23. N.K. Cooperrider, J.K. Hedrick, E.H. Law, and C.W. Malstrom. The application of quasilinearization techniques to the prediction of nonlinear railway vehicle response. In Pacejka, H.B. (Ed.): The Dynamics of Vehicles on Roads and on Tracks. Proceedings of the IUTAM Symposium held at Delft, The Netherlands, August 1975, pp. 314-325, Amsterdam, 1976. Swets & Zeitlinger: Amsterdam.
24. N.K. Cooperrider, E.H. Law, R. Hull, P.S. Kadala, and J.M. Tuten. Analytical and Experimental Determinatzion of Nonlinear Wheel/Rail Geometric Constraints. Interim Report No. FRA-OR &D, U.S. Department of Transportation, 1975.
25. N.N. Dawson. Contribution to Carter's lecture "The electric locomotive". Proc. Inst. Civil Engn., 201:261-268, 1915.
26. A.D. de Pater. Etude du mouvement de lacet d'un véhicule de chemin de fer. Appl. Sci. Res. A, 6:263-316, 1956.
27. A.D. de Pater. The approximate determination of the hunting movement of a railway vehicle by aid of the method of Krylov and Bogoljubov. Appl. Sci. Res., 10:205-228, 1961. Paper delivered at the Xth International Congress of Appl. Mech. at Stresa, Aug. 31st to Sept. 7th, 1960.
28. A.D. de Pater. The approximate determination of the hunting movement of a railway vehicle by aid of the method of Krylov and Bogoljubov. Appl. Sci. Res., 10:205-228, 1961. Paper delivered at the Xth International Congress of Appl. Mech. at Stresa, Aug. 31st to Sept. 7th, 1960.
29. C.F. Dendy Marshall. A History of British Railways down to the Year 1830, pp. 147-148. Oxford University Press, Oxford, 1938.
30. R. Eberan von Eberhorst. Die Kurven- und Rollstabilität des Kraftwagens. ATZ, 55(9):246-253, 1953.
31. H.C.A. van Eldik Thieme and H.B. Pacejka. The Tire as a Vehicle Component (Reprint of Chapter 7 of "Mechanics of Pneumatic tires" edited by S.K. Clark, N.B.S. Monograph 122, Washington, D.C., 1971). Technical report, Vehicle Research Laboratory, Delft University of Technology, 1971.
32. E. Fiala. Seitenkräfte am rollenden Luftreifen. Zeitschrift des Vereins deutscher Ingenieure, 96(29):973-974, 1954.
33. L. Föppl. Die strenge Lösung für die rollende Reibung. Leibniz Verlag, München, 1947.
34. H.W. Förschung. Grundlagen der Aeroelastik (Foundations of Aeroelasticity). Springer, Berlin et al., 1974.
35. G. Freudenstein. Luftreifen beim Schräg- und Kurvenlauf. Deutsche Kraftfahrtforsch., 56:56ff, 1961.
36. H. Fromm. Berechnung des Schlupfes beim Rollen deformierbarer Scheiben. Z. Ang. Math. Mech. (also Dissertation, TH Berlin, 1926), 7:27-58, 1927.
37. H. Fromm. Schiene und Rad. Zeitschrift des Vereins deutscher Ingenieure, 27(51): 1899-1900, 1928.
38. H. Fromm. Kurzer Bericht über die Geschichte der Theorie des Radflatterns. In Bericht über die Sitzung "Flattern und Rollverhalten von Fahrzeugen". Bericht 140 der Lilienthal-Gesellschaft, pp. 53-56, 1941.
39. H. Fromm. Seitenschlupf und Führungswert des rollenden Rades. In Bericht 140 der Lilienthal-Gesellschaft (also NACA TN 1365, p. 191), pp. 56-63, 1941.
40. I.E. Garrick and W.H. Reed. Historical development of aircraft flutter. J. Aircraft, 18:897-912, 1981.
41. R. Gasch. Windkraftanlagen. Grundlagen und Entwurf. B.G. Teubner, Stuttgart, 1996.
42. R. Gasch and D. Moelle. Nonlinear bogie hunting. In The Dynamics of Vehicles on Roads and on Tracks, Proceedings of the 7th IAVSD-Symposium held at Cambridge, UK, August 1981, pp. 455-467, Lisse/Amsterdam, 1982. Swets & Zeitlinger.
43. R. Gasch, D. Moelle, and K. Knothe. The effects of non-linearities on the limit-cycles of railway vehicles. In The Dynamics of Vehicles on Roads and on Tracks, Proceedings of the 8th IAVSD-Symposium held at Cambridge, Mass./ USA, August 1983, pp. 207-224, Lisse/Amsterdam, 1984. Swets & Zeitlinger.
44. R. Gasch and H. Pfützner. Rotordynamik - Eine Einführung. Springer, Berlin, Heidelberg, New York, 1975.
45. A.O. Gilchrist. The long road to solution of the railway hunting and curving problem. In Proceedings of the Conference "From Rocket to Eurostar and beyond" held at the National Railway Museum in London on 5 November 1997, (in print).
46. R.J. Gostling. The Measurement of Real Wheel and Track Profiles and their Use in Finding Contact Conditions, Equivalent Conicity, and Equilibrium, Rolling Line. TNDA 22, BR Research Department, Advanced Project Divison, 1973.
47. A. Groß-Thebing. Frequency-dependent creep coefficients for three-dimensional rolling contact problems. Vehicle Systems Dynamics, 18(6):677-688, 1989.
48. A. Groß-Thebing. Lineare Modellierung des instationären Rollkontaktes von Rad und Schiene. In VDI Fortschritt-Berichte (also Dissertation TU Berlin), Reihe 12, Nr. 199. VDI-Verlag, Düsseldorf, 1993.
49. G. Heinrich. Zu L. Föppl's Theorie der rollenden Reibung. Österr. Ing.-Arch., 4:363-375, 1950.
50. H. Heumann. Lauf der Drehgestell-Radsätze in der Geraden. Organ Fortschr. Eisenb.-wes., 92:149-137, 1937.
51. A.E.W. Hobbs. A Survey on Creep. Technical Note TN DYN 52, British Rail Research, Derby, 1967 (reprinted 1976).
52. A. Hurwitz. Ueber die Bedingungen, unter welchen eine Gleichung nur Wurzeln mit negativen realen Teilen besitzt. Math. Ann., 46:273-284, 1895.
53. C.N. Jensen and H. True. On the new route to chaos in railway dynamics. Nonlinear Dynamics, 13:117-129, 1997.
54. K.L. Johnson. The effect of a tangential contact force upon the rolling motion of an elastic sphere on a plane. Journal of Applied Mechanics, 25:339-346, 1958.
55. K.L. Johnson. The effect of spin upon the rolling motion of an elastic sphere on a plane. Journal of Applied Mechanics, 25:332-338, 1958.
56. K.L. Johnson. Contact Mechanics. Cambridge University Press, Cambridge, 1985.
57. M. Julién. Contribution a l'etude des phénomènes de contact dans le roulement. In M. Julién and Y. Rocard: Stabilité de Route des Locomotives, deuxième partie, pp. 56-71. Hermann & Cie, Paris, 1935.
58. M. Julién and Y. Rocard. La stabilité de route des locomotives, deuxième partie. Hermann & Cie., Paris, 1935.
59. J.J. Kalker. On the Rolling Contact of Two Elastic Bodies in the Presence of Dry Friction. Dissertation, TH Delft, Delft, 1967.
60. J.J. Kalker. Simplified theory of rolling contact. Mechanical and Aeronautical Engineering and Shipbuilding, pp. 1-10, 1973.
61. J.J. Kalker. Three-Dimensional Elastic Bodies in Rolling Contact. Kluwer Academic Publishers, Dordrecht, 1990.
62. W. Kamm. Selbständige Richtungshaltung des Fahrzeugs. ATZ, 56(5):117-121, 1954.
63. M. Kantrowitz. Stability of Castering Wheels for Aircraft Landing Gears. NACA Report No. 686, 1940.
64. C.P. Keizer. Some basic problems of bogies, an analytical approach. Vehicle System Dynamics, 8:359-406, 1979.
65. W. Klingel. Über den Lauf von Eisenbahnwagen auf gerader Bahn. Organ für die Fortschritte des Eisenbahnwesens, 20:113-123, Table XXI, 1883.
66. K. Knothe. Die geometrisch nichtlinearen Beziehungen für einen starren Radsatz, der auf einer starren Schiene quer verschoben wird. ILR-Mitt. 17, Institut für Luft- und Raumfahrt, TU Berlin, 1975.
67. K. Knothe and A. Groß-Thebing. Derivation of frequency dependent creep coefficients based on an elastic halfspace model. Vehicle System Dynamics, 15:133-154, 1986.
68. K. Knothe and A. Theiler. Normal and tangential contact problem with rough surfaces. In Proc: of the 2nd Mini Conference on Contact Mechanics and Wear of Rail / Wheel Systems held at Budapest in August 1996, pp. 34-43, Budapest, 1997.
69. C. Knudsen, R. Feldberg, and H. True. Bifurcations and chaos in a model of a rolling railway wheelset. Phil. Trans. R. Soc. Lond. A, 338:455-469, 1992.
70. C. Knudsen, C. Slivsgaard, M. Rose, H. True, and R. Feldberg. Dynamics of a model of a railway wheelset. Nonlinear Dynamics, 6:215-236, 1994.
71. N.A. Kovalev. The Lateral Oscillation of Rolling Stock. Transheldhorizdat, Moskau, 1957.
72. R. Levi. Le roulement avec glissement. Compt. rend. Acad. Science, 199:119-120, 1934.
73. R. Levi. Etude relative au contact de roues sur le rail. Revue Générale des Chemins de Fer, 54I:81-109, 1935.
74. T. Matsudaira. Shimmy of axles with pair of wheels (in Japanese). J. of Railway Engineering Research, pp. 16-26, 1952.
75. T. Matsudaira. Paper awarded prize in the competition sponsored by Office of Research and Experiment (ORE) of the International Unions of Railways (UIC). ORE-Report RP2/SVA-C9, UIC, Utrecht, 1960.
76. N. Matsui. A re-examination of the wheel/rail contact geometry and its application to the hunting analysis of railway bogie vehicles having profiled wheels. In Wickens, A. (Ed.), Proceedings 7th IAVSD Symposium on Dynamics of Vehicles on Roads and Tracks, Cambridge, UK, Sept. 1981, pp. 468-480. Swets & Zeitlinger, Amsterdam, 1982.
77. L. Mauer. Die modulare Beschreibung des Rad/Schiene-Kontaktes im linearen Mehrkörperformalismus. Dissertation, TU Berlin, 1988.
78. M. Melzer. Beitrag zur Theorie des Spornradflatterns. Technische Berichte 2, Focke-Wulf Flugzeugbau G.m.b.H., Bremen, Versuchsabteilung, 1940. English translation: NACA Technical Memorandum 1380, 1954.
79. M. Mitschke. Kraftfahrzeug - Fahrer - Aktive Sicherheit (Abbreviated version of the report 4.6 from XVI. FISITA Congress, Tokio, 1976). Automobil-Industrie, pp. 29-32, 1977.
80. M. Mitschke. Dynamik der Kraftfahrzeuge. Band C: Fahrverhalten. 2. Aufl. Springer, Berlin, Heidelberg, New York, 1990.
81. M. Mitschke. Dynamik der Kraftfahrzeuge. Band B: Schwingungen. 3. Aufl. Springer, Berlin, Heidelberg, New York, 1994.
82. D. Moelle. Digitale Grenzzykelrechnung zur Untersuchung der Stabilität von Eisenbahndrehgestellen unter dem Einfluß von Nichtlinearitäten. Dissertation, Technische Universität Berlin, 1990.
83. S. Müller. Linearized Wheel-Rail Dynamics - Stability and Corrugation. In Fortschritt-Berichte VDI (also Dissertion TU Berlin), Reihe 12, Nr. 368. VDI- Verlag, Düsseldorf, 1998.
84. S. Müller and K. Knothe. Stability of wheelset-track dynamics for high frequencies. Archive of Applied Mechanics, 67:353-363, 1997.
85. A. Nefzger. Geometrie der Berührung zwischen Radsatz und Gleis. ETR, 23:113-122, 1974.
86. J.B. Nielsen. New Developments in the Theory of Wheel/Rail Contact Mechanics. Dissertation, TH Denmark, Lyngby, 1998.
87. NN. Problemes d'interaction entre les vehicules et la voie. Bull. de l'ORE, 3:14-16, 1955.
88. NN. Wechselwirkung zwischen Fahrzeug und Gleis. Bericht über das Preisausschreiben zur Lösung des Schlingerproblemes. ORE Bericht zur Frage C 9. Arbeitsergebnis Nr. 2 Band 1. Utrecht, Internationaler Eisenbahnverband UIC - Forschungs- und Versuchsamt ORE, 1957.
89. H. Pacejka (Ed.). Tyre Models for Vehicle Dynamics Analysis. Proceedings of the 2nd International Colloquium on Tyre Models for Vehicle Dynamics Analysis held in Delft, The Netherlands, Oktober 21-22, 1991. Supplement to Vehicle System Dynamics, Volume 21, Amsterdam/Lisse, 1993. Swets & Zeitlinger.
90. H. B. Pacejka. The Wheel Shimmy Phenomenon - A Theoretical and Experimental Investigation with Particular Reference to the Nonlinear Problem. Dissertation, Delft University of Technology, 1966, reprint 1973.
91. H. B. Pacejka and E. Bakker. The magic formula tyre model. In H.B. Pacejka (Ed.), Tyre Models for Vehicle Dynamics Analysis. Proceedings of the 1st International Colloquium on Tyre Models for Vehicle Dynamics Analysis held in Delft, The Netherlands, October 1991. Supplement to Vehicle System Dynamics, volume 21, pp. 1-18, 1993.
92. J.-P. Pascal. Oscillations and chaotic behaviour of unstable railway wagons over large distances. Chaos, Solitons & Fractals, 5(9):1725-1753, 1995.
93. J.-P. Pascal. Analysis of the chaotic behaviour of unstable railway wagons using multibody dynamical codes. In Paper presented at the 2nd European Nonlinear Oscillation Conference held at Prague, September 9-13, 1996, 1996.
94. H. Poritsky. Stresses and deflections of cylindrical bodies in contact with application to contact of gears and locomotive wheels. J. Appl. Mech., 17:191-201, 1950.
95. F.J. Redtenbacher. Die Gesetze des Locomotiv-Baues. Verlag von Friedrich Bassermann, Mannheim, 1855.
96. O. Reynolds. On rolling friction. Philosophical Transactions of the Royal Society of London, 166(I):155-174, 1876.
97. P. Riekert. Grundsätzliche Erkenntnisse über das Radflattern. In Bericht über die Sitzung "Flattern und Rollverhalten von Fuhrwerken". Bericht 140 der Lilienthal-Gesellschaft, pp. 33-35, 1941.
98. P. Riekert and T.E. Schunck. Zur Fahrmechanik des gummibereiften Kraftfahrzeugs. IngenieurArchiv, 11:210-224, 1940.
99. Y. Rocard. La stabilité de route des locomotives, première partie, avec une note de M. R. Lévy. Hermann & Cie., Paris, 1935. see also [57].
100. Y. Rocard. L'instabilité en méchanique. Automobiles, avions, ponts suspendus. Masson, Paris, 1957. English Translation by Crosby, Lockwood, London, 1957.
101. E.J. Routh. Dynamics of a System of Rigid Bodies (Advanced Part). 1st ed. Macmillan, London, 1860.
102. E.J. Routh. Stability of a Given State of Motion. Macmillan, London, 1877.
103. J. Salin. Regards en arrière. Revue Générale des Chemins de Fer, 100:216-221, 1981.
104. B.v. Schlippe and R. Dietrich. Das Fattern eines bepneuten Rades. In Bericht über die Sitzung "Flattern und Rottverhalten von Fahrwerken". Bericht 140 der Lilienthal-Gesellschaft, pp. 35-45, 1941.
105. A. Schmidt and L. Mauer. Durchführung der Rollprüfstands-Versuche. Abschlußbericht zum BMFT-Forschungsvorhaben TV 7960 4. Bericht K 096 991 - EDS - 9. April 1882. MAN Neue Technologie München, 1982.
106. L. Segel. Force and moment response of pneumatic tires to lateral motions input. Transactions of the ASME, J. of Engrg. for Industry, 88 B:8ff, 1966.
107. L. Segel. An overview of developments in road-vehicle dynamics: past, present and future. Paper C466/052, IMechE, pp. 1-12, 1993.
108. Z.Y. Shen, J.K. Hedrick, and J.A. Elkins. A comparison of alternative creep-force models for rail vehicle dynamic analysis. In J.K. Hedrick (Ed.), The Dynamics of Vehicles on Roads and Tracks. Proceedings of the 8th IAVSD Symposium held at MIT Cambridge/MA, August 15-19, 1983, pp. 591-605, Lisse, 1984. Swets & Zeitlinger.
109. E. Slivsgaard and H. True. Dynamics of a single axle steered bogie. In van Campen, D.H. (Ed.): IUTAM Symposium on Interactions between Dynamics and Control in Advanced Mechanical Systems, pp. 375-382. Kluwer Academic Publishers, 1996.
110. A. Stodola. Über die Regulierung von Turbinen, 1.Teil (2.Teil). Schweizerische Bauzeitg., 22(23):113-??? (108-???), 1893(1894).
111. H. True. Dynamics of a rolling wheelset. Appl. Mech. Reviews, 46(7):438-444, 1993.
112. H. True. Does a critical speed for railroad vehicles exist? In Hawthorne, K.L and Hill, RJ. (Ed.): Proceedings of the 1994 ASME/IEE Joint Railroad Conference held in Chicago, Illionos, March 1994, pp. 125-131, 1994.
113. H. True. Examples of chaotic motion of railroad vehicles in theory and experiment. In Rail Transportation - 97, RTD Vol. 12, pp. 13-17. ASME, 1997.
114. H. True and J.C. Jensen. Chaos and asymmetry in Railway vehicle dynamics. Periodica Polytechnica Ser. Transp. Eng., 22(1):55-68, 1994.
115. True, H. Railway vehicle chaos and asymmetric hunting. In The Dynamics of Vehicles on Roads and on Tracks, Proc. of the 12th IAVSD Symposium held at Lyon/France, August 1991, pp. 625-637, Amsterdam/Lisse, 1992. Swets & Zeitlinger.
116. J. Vermeulen and K.L. Johnson. Contact of nonspherical elastic bodies transmitting tangential forces. Journal of Applied Mechanics, 31:338-340, 1964.
117. A.H. Wickens. The dynamic stability of railway vehicle wheelsets and bogies having profiled wheels. Int. J. Solids Structures, 1:319-341, 1965.
118. A.H. Wickens. The dynamics of railway vehicles on straight track: fundamental consideration of lateral stability. Proc. I. Mech. Engrs., 180(3F):1-16, 1965.
119. A.H. Wickens. The Dynamics Stability of a simplified four-wheeled vehicle having profiled wheels. Int. J. Solids Structures, 1:385-406, 1965.
120. A. H. Wickens. Static and Dynamic Stability of Unsymmetric Two-Axle Railway Vehicles Possessing Perfect Steering. Vehicle System Dynamic, 11:89-106, 1982.
121. A.H. Wickens. The dynamics of railway vehicles - from Stephenson to Carter. In Proceedings of the conference "From Rocket to Eurostar and beyond", held at the National Railway Museum in London on 5 November 1997, (in print).
122. H.-P. Willumeit and F. Böhm. Wheel vibrations and transient tyre forces. Vehicle Systems Dynamics, 24(6-7):525-550, 1995.
123. K. Yokose. Design theory of N-form wheel tread (in Japanese). Report No.71-168, Railway Technical Research Institute, 1971.