Die berechnung der kritischen geschwindigkeit eines eisenbahnfahrzeuges: Die richtige, die falsche und die zufallsmethode

Hans True

AbstractIn 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 supercritical speeds" and "chaotic motion", will be addressed.
TypeJournal paper [With referee]
Journal
Year2011    Vol. 135    pp. 162-169
NoteIn German
Electronic version(s)[pdf]
Publication linkhttp://www.imm.dtu.dk/English.aspx
BibTeX data [bibtex]
IMM Group(s)Mathematical Physics