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

Hans True

AbstractIn recent years several authors have proposed 'easier numerical methods' to nd multiple attractors and the critical speed in railway dynamical problems. Actually, the methods do function in some cases, but they are not safe in the sense that you will calculate the relevant critical parameter values with a reasonable accuracy. In some cases the 'easier numerical methods' are really just a gamble. In this presentation the methods will be discussed. In this relation the linearisations of the nonlinear dynamical problem are made. A linearisation of the nonlinear dynamical problem simpli es the calculations and may give relevant answers to important questions such as the possibility of resonance phenomena in the designs, but a linearisation is not always allowed.
We shall also address the curious fact that the hunting motion is more robust than the ideal stationary state motion in the track.
TypeConference paper [With referee]
ConferenceIAVSD2011 22nd Symposium of the International Association for Vehicle System Dynamics, August 14-19, 2011
Year2011    Month August
PublisherManchester Metropolitan University
ISBN / ISSNISBN 978-1-905476-59-6
NoteOn disc
BibTeX data [bibtex]
IMM Group(s)Scientific Computing