We have the same problem with resonance speeds when designing and operating
our large turbine and generator sets in power plants. At certain speed (RPM)
ranges the natural vibration frequency of the shafts and rotating parts comes
into resonance with the speed of rotation. (The axis of rotation "hunts"
between the physical center and the rotation center and can destroy the
machinery.)
Our solution is when bringing the machinery up to speed or slowing down to
always pass that critical RPM as fast as possible along with safety.
I think maybe the high speed rail must apply the same or a similar solution.
IE, do not run the train between X and Y speeds for any length of time. But,
the engineer must pass through those speeds as rapidly as possible along
with the safety of the train and rail system. Over that critical speed things
are smooth, below they are smooth, but that transition speed is where problems
can rapidly develop.
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