Whilst they are correct, they usually forget that the axle is rotating, so any point on the axle has constantly changing load and therefore the damping coefficient has a hugely significant effect.
If you consider altering the damping coefficient changes how quickly the axle deflects, then consider the speed of rotation, it is entirely possible that the axle never reaches "full" deflection for the load placed upon it. It therefore follows that, to the layman, the apparent stiffness has changed since the peak deflection reached changes.
The formulae required to model each aspect of the behaviour are pretty simple. However, in practice, we have to deal with a changing vertical load, changing speed of rotation and tie that in with the changing load for a given point on the axle.
A Matlab/Simulink expert should be able to model it fairly easily if some reasonable input data were given.
Dave
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