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Differentialgleichungen und singuläre Mannigfaltigkeiten in der dynamischen Simulation von Rad—Schiene—Systemen

In: Mathematik Schlüsseltechnologie für die Zukunft

Author

Listed:
  • K. Frischmuth

    (Universität Rostock, FB Mathematik)

  • M. Arnold

    (Universität Rostock, FB Mathematik)

  • M. Hänler

    (Universität Rostock, FB Mathematik)

  • H. Netter

    (DLR, Institut für Robotik und Systemdynamik)

Abstract

Within the development of modern advanced railway vehicles the simulation tools require the efficient dynamical simulation of wheel-rail systems. In the present paper we concentrate on the formulation and numerical solution of geometrical conditions for wheel-rail contact in the framework of a multibody system (MBS) model. We analyse the classical rigid contact model that results in non-smooth constraints and in singularities in the solution of the MBS model equations. Motivated by the elastic deformation of wheel and rail a quasi-elastic contact model is developed as alternative. It regularizes the model equations and yields a smooth solution both without singularities and without high-frequency oscillations. We discuss implementations of this approach that are adapted to special needs in various applications. Finally, a short overview about the wheel-rail module of the MBS package SIMPACK is given. A case study illustrates an industrial application of the regularized contact model.

Suggested Citation

  • K. Frischmuth & M. Arnold & M. Hänler & H. Netter, 1997. "Differentialgleichungen und singuläre Mannigfaltigkeiten in der dynamischen Simulation von Rad—Schiene—Systemen," Springer Books, in: Karl-Heinz Hoffmann & Willi Jäger & Thomas Lohmann & Hermann Schunck (ed.), Mathematik Schlüsseltechnologie für die Zukunft, pages 331-342, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-60550-5_28
    DOI: 10.1007/978-3-642-60550-5_28
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