Summary
The current study addresses the stability of a moving mass suspended magnetically from a periodically supported beam. The stability of the free vibration about the periodic steady state has been studied. Preliminary findings employing periodic solutions to find the stability boundary show that parametric resonance can take place in the range of target velocities of the Hyperloop system, although the region of existence is limited. Further analysis is needed to determine the part of the stability boundary that is unrelated to parametric resonance.
