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Bifurcation Analysis of Railway Vehicles

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Abstract

To identify the long-time behaviour of nonlinear dynamical systems with respect to the influence of one or more system parameters, numerical bifurcation analysis is an ideal computer-aided method. The objective of the paper is to describe a software environment for such an analysis that is based on the principles of path-following or continuation. A specific viewpoint is the application to ‘realistic’, i.e. detailed and complex simulation models of railway vehicles following a multibody system approach. Stationary as well as periodic behaviour is considered. Three major topics are of primary interest: The integration of a bifurcation software into a software package for the simulation of arbitrary mechanical systems; the direct calculation of periodic solutions (limit cycles); and the handling of differential algebraic equations (DAEs). The algorithms are applied finally to the ‘realistic’ simulation model of a high-speed railway passenger car.

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Authors and Affiliations

  1. Siemans AG, TS LM D SC, Krauss-Maffei-Str. 2, D-80997, Muenchen, Germany

    Gunter Schupp

  2. Until July 2005: Institute of Robotics and Mechatronics, Vehicle System Dynamics, DLR – German Aerospace Center, Münchner Str. 20, D-82234, Wessling, Germany

    Gunter Schupp

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  1. Gunter Schupp
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Correspondence to Gunter Schupp.

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Schupp, G. Bifurcation Analysis of Railway Vehicles. Multibody Syst Dyn 15, 25–50 (2006). https://doi.org/10.1007/s11044-006-2360-6

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  • DOI: https://doi.org/10.1007/s11044-006-2360-6

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