An interesting test is to clamp a shaft lightly at the centre between two small blocks of wood in a vice.
If you then pull both ends back a couple of inches with your finger tips and release simultaneously you can see how long the vibration lasts.
If you want you can time it and convert that to distance travelled.
For a flight arrow you'd ideally want a material that was well damped and stopped vibrating quickly. But the other side of the coin is that if it was well damped it might not flex quick enough when loosed and would thus act as if it was too stiff.
Seem like almost everything in this game is full of contradictions and compromises... which is why we like it
Del