On multiple attractors and critical parameters and how to find them numerically: The right, the wrong and "the American way"

Hans True

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    Abstract

    In recent years several authors have proposed, "easier" numerical methods' to find the critical speed in railway dynamical problems. Actually the methods do function in some cases, but in most cases it is really a gamble. In this presentation the methods will be discussed and the pros and contras commented. We shall also address the questions when a linearisation is allowed and the curious fact that the hunting motion is more robust than the ideal stationary state motion in the track. Concepts such as "multiple attractors", "permitted linearisation", "subcritical and supercritical bifurcations", "the danger of running at supercrititical speeds" and "chaotic motion", will be addressed.
    Original languageEnglish
    Title of host publicationIAVSD 14-19 August 2011 : Proceedings
    Publication date2011
    Publication statusPublished - 2011
    Event22nd International Symposium on Dynamics of Vehicles om Roads and Tracks - Manchester Metropolitan University, Manchester, United Kingdom
    Duration: 14 Aug 201119 Aug 2011
    http://www.iavsd2011.org/

    Conference

    Conference22nd International Symposium on Dynamics of Vehicles om Roads and Tracks
    LocationManchester Metropolitan University
    CountryUnited Kingdom
    CityManchester
    Period14/08/201119/08/2011
    Internet address

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