High Temperature Superconducting Magnetic Levitation

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264 Ë 8 New progress of HTS Maglev vehicle


Fig. 8.2:Top view of the vibration experimental set-up.

by the vibration measurement system which was put on the center of the vehicle
model, as shown in Fig. 8.1.
Figure 8.3 gives the 2D dynamic model of the freely levitated HTS Maglev vehicle
combined with a mass, two springs, and two dampers. The corresponding dynamics
characteristics in the vertical direction are described by


mz̈+cż+kz=f, (8.1)

wherezis the vertical displacement,mis the mass,cis an equivalent damping
coefficient,kis the equivalent stiffness andfis the external impulse force.
Eq. (8.1) is further transformed into


z̈+ 2 훾휔nż+휔^2 nz= f
m

, (8.2)


where훾=c/( 2 $mk)is the damping ratio and the resonant frequency휔n=xk/m.
The resonance frequency, dynamic stiffness, damping coefficient, and even the
possible dynamic motion modes were the unsolved significant dynamic parameters


Fig. 8.3:Simplified 2D dynamic model of the HTS Maglev vehicle mode.

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