Gday Chris
Quote:
They work by spreading the vibration energy across multiple frequencies thus reducing the amplitude.
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Thats assuming something is trying to "continually" vibrate the pier, and you are trying to reduce "possible resonance".
If you are just trying to kill off random vibrations quickly, the initial deflection will normally be as a result of a single knock, and will be as big as it gets. ( and lets face it, will be microscopic for a pier of this size )
The effect on damping time is what you are really looking at, as with piers the size we are discussing here, the pier is going to be the smallest source of error. The pier will deflect the same for a given impulse load whether filled with sand or not, but the decay times will be different.
All you need to do is the numbers, to see if the difference is measurable.
Andrew
And as a secondary example, if extra weight / damping is always "bad", why do many tall buildings/structures use massive internal weights as dampers????
https://en.wikipedia.org/wiki/Tuned_mass_damper
The caveat here is the weight and its position has to be designed to suit the structure, but extra mass isnt always bad, and doesnt always increase the resonant amplitudes ;-)
Whilst this doesnt match the example of a pier, it does highlight that you have to design for each case on its merits.
Whilst all good theoretical fun, this is still massive overthink for a pier :-)