Summary
In this work, the dynamics of an electromagnetically suspended mass, which is very simple representation of the Hyperloop system, is studied. Linear stability analysis of the 1.5 degree-of-freedom system yields three distinct regions for the physically meaningful equilibrium point, one of which exhibits limit cycles. The limit cycle is analysed using the harmonic balance method, revealing the frequencies and amplitudes of the periodically oscillating variables. The expressions for the frequency and current allow for the determination of various geometrical and physical limits of the system. Additionally, Floquet analysis is conducted to determine the stability of the limit cycle.
