I've been reading, but not commenting.
I'm changing that now.
I know a bit about this stuff. Not even enough to be dangerous, but enough related observations to contribute my 2 cents (which, in today's market is worth exactly
nothing).
Anyway, I've been playing drums since age 6. I'm over 40 now (and bad at math) but I've been playing a long time. In that time frame, I have hit a fair number of cymbals (and crashed them together in marching and concert bands as well) so I have a reasonable idea of what this sounds like.
I have also spent time experimenting with various damping methods on cymbals to alter their sound and resonance time.
Here's my point: What I found is that although you can alter the resonance time, you also alter the mass and therefore alter the resonant frequency.
Background: Counter to what you might feel as intuitive, at the same diameter, thin cymbals have a lower fundamental tone, and thick cymbals have a higher fundamental tone. (same with drum heads- thin are low pitch and thick are high pitch) Also, thick cymbals are louder (project more) and thin ones are quieter. Response time (to impact) of the thin cymbals is faster, and thick ones slower (Newton et al)
Relevance: No frickin' idea.

BUT (based on all that stuff), if you go with a
heavy platter, you could well be moving fundamental resonance into the easily audible range. Too thin, and you could get into a resonant situation with the arm. Damp it (with mass) and you could also raise the fundamental, although you lessen the amplitude.
The relevance is based on and assumes the same exact material (like with the cymbals). So, if you alter the material (to alter the fundamental) and also alter the mass (to
move the fundamental) you may be able to control resonance to a low enough amplitude to not be intrusive and perhaps also move it toward a frequency range where it is also less intrusive.
Then you come to combining materials. I have two materials in mind that I think would make an excellent combination. I chose one because the fundamental is relatively high, and the material is relatively 'lively' in common alloys (but I would use the pure element) and couple it (with an adhesive I have yet to select, as well as mechanically) to another that has a low fundamental and is relatively dead. I do not expect them to 'cancel' anything; however if I can get an amplitude low enough across a wide spectrum with minimal peaks, I think it would be a good choice. Neither 'dead' nor 'alive', as i feel either situation is less than ideal. Neutral is the goal.
We now return you to your regularly scheduled programming...
