The Stability Behaviour of an Electromagnetically Suspended Hyperloop Vehicle Subject to Aeroelastic Forcing
J. Paul (TU Delft - Civil Engineering & Geosciences)
Andrei B. Faragau (TU Delft - Civil Engineering & Geosciences)
R.J. van Leijden (TU Delft - Civil Engineering & Geosciences)
A. Metrikine (TU Delft - Civil Engineering & Geosciences, TU Delft - Civil Engineering & Geosciences)
K.N. van Dalen (TU Delft - Civil Engineering & Geosciences)
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Abstract
In this paper, we delve into the dynamics of an electromagnetically suspended mass from a rigid support. The study employs a 1.5-degrees-of-freedom system which serves as a simplified model for a Hyperloop vehicle traveling in a tube. Through linear stability analysis, we analytically uncover three distinct regions for the physically significant equilibrium point. Further inspection reveals that the system exhibits limit-cycle vibrations in one of these regions. Employing the harmonic balance method, we determine the properties of the limit cycle, thus unravelling the frequency and amplitude characterizing the periodic oscillations of system’s variables. We also present preliminary findings regarding the influence of the steady aeroelastic force on the stability of the system.