It's not about what you put under it, but about what you put it on ;-) And even if your "rack" is reasonably sturdy, the floor structure under the rack is probably what's bouncing (it's not a concrete slab is it!)
I bet even an un-sprung TT would have trouble in that situation, and what you're going to need is a wall shelf for the TT. Target's shelf ($179 at AudioAdvisor) is probably the most popular, and you can see it here http://www.audioadvisor.com/products.asp?dept=214
IMO, even the best TT stand sitting on a concrete slab can't beat a PROPERLY MOUNTED wall shelf.
I bet even an un-sprung TT would have trouble in that situation, and what you're going to need is a wall shelf for the TT. Target's shelf ($179 at AudioAdvisor) is probably the most popular, and you can see it here http://www.audioadvisor.com/products.asp?dept=214
IMO, even the best TT stand sitting on a concrete slab can't beat a PROPERLY MOUNTED wall shelf.