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Analysis of thermal track buckling in the lateral plane

Analyse des thermischen Geleisebeulens in die Querebene

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Summary

The determination of the safe temperature increase in the rails of a continuously welded track, to prevent lateral buckling is presented. The criterion used is based on the post-buckling equilibrium branches of the track. The range of safe temperature increases is defined asT 0<T L , whereT L is the smallest value of the temperature rise at which a deformed state of equilibrium (thus, a buckled state) becomes possible. The post-buckling equilibrium states are determined analytically. To obtain a consistent formulation of the problem use is made of the principle of virtual displacements and the variational calculus for variable matching points. The obtained formulations are nonlinear, but can be solved exactly. Solutions are presented for four buckled configurations. The results are presented graphically for a typical railroad track presently in use on main lines. The obtained results are compared with the corresponding results of other investigators.

Zusammenfassung

Der zulässige Temperaturanstieg in den Schienen eines kontinuierlich geschweißten Gleises wird bestimmt, um seitliches Ausbeulen zu verhindern. Das verwendete Kriterium basiert auf Nachbeulgleichgewichtskurven des Geleises. Der Bereich des zulässigen Temperaturzuwachses wird definiert mitT 0<T L , wobeiT L der kleinste Wert des Temperaturanstieges ist, bei dem ein verformter Gleichgewichtszustand (im ausgebeulten Zustand) möglich ist. Die Nachbeulgleichgewichtslagen werden analytisch bestimmt. Für eine klare Formulierung des Problems wird das Prinzip der virtuellen Verschiebungen und die Variationsrechnung für variable Endpunkte verwendet. Die erhaltenen Gleichungen sind nichtlinear, können aber exakt gelöst werden. Lösungen werden für vier Beulformen angegeben. Die Ergebnisse sind für eine typische Eisenbahnschiene, wie sie gegenwärtig auf den Hauptlinien verwendet wird, graphisch dargestellt. Die erhaltenen Ergebnisse werden mit entsprechenden Ergebnissen anderer Untersuchungen verglichen.

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References

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Authors and Affiliations

  1. Department of Civil Engineering, Princeton University, 08540, Princeton, NJ, USA

    A. D. Kerr

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  1. A. D. Kerr
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With 12 Figures

Research sponsored by the Federal Railroad Administration, Office of R & D, with the Transportation Systems Center as Program Manager, under Contract DOT-TSC-900 and by the National Science Foundation under Grant ENG 74-19030.

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Kerr, A.D. Analysis of thermal track buckling in the lateral plane. Acta Mechanica 30, 17–50 (1978). https://doi.org/10.1007/BF01177436

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  • DOI: https://doi.org/10.1007/BF01177436

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