I'll point out that a washer on a 1800 RPM spin cycle is putting out a 30 Hz vibration. That will resonate with a room dimension of roughly 1080/2*30= 18', which is within common room dimensions. Resonant frequencies of an actual room are more complicated, the equation for calculating them is shown under "Closed Rectangular Box here":
http://en.wikipedia.org/wiki/Acoustic_resonance
Actual room acoustics are complicated enough they have to be measured, but clapping your hands or clicking a clicker can tell you a lot if you have good ears.
Floor system resonant frequencies aren't as easy to calculate - I'd only trust a modeling program or field measurements, but here's a ball park calculation:
"
For design purposes, the natural floor frequency (fn in Hz) can be estimated using a simple formula,
fn (Hz) =18 D(mm)
where D is the total deflection of the floor structure due to the weight supported by all its members (joists, girders and columns). For example, if the floor deflects 9 mm, the natural frequency is 6 Hz. To get a natural frequency of 9 Hz, the floor must deflect only 4 mm, which is practically impossible for floors supported on very long members to achieve. (See References 2 – 4 for methods of calculating natural frequency and floor acceleration.)
"
From:
http://www.nrc-cnrc.gc.ca/ctu-sc/ctu_sc_n22
Floor systems that would resonate with the 20-30 Hz dryer vibration would have to have deflections from their material weight in the 1-2 mm range, which matches up with my not running into any that I know of.
There's the mechanical / acoustical side. The general strategy pretty much has to be decreasing the vibration induced deflection of the floor system at the washer. There are very few general ways that can be done. One of the problems with deflection is simply that the feet usually don't sit right on top of floor joists, so there is a lot of deflection of the floor just from that. That's one of the reasons screwing a couple of sheets of Advantec down, and screwing it all into the joists can make a significant improvement sometimes. Also, the more the floor deflects, the worse the washer balancing mechanism works, usually. A concrete slab has always been my "when all else fails" approach, but I'll try a sand box and see how it does next time.