My thought would be to drain the energy as effectively as possible. Likely you will appreciate different treatments on different components. I doubt it will be a one size fits all scenario, but wood would not be my first choice for a shelf medium. Better than nothing is not necessarily a truly good solution.
A set of knuckles does a decent subjective job of determining resonance. And panels with a layer of green glue between then generally has some reduction of vibration happening.
I'm trying to stiffen the wooden shelves, to reduce bowing or sag, and get it to within close mass to the shelves the springs were engineered for.
Those engineered marine panels are pretty light.