Assuming you're talking a solid state amp, the problem I'd see here is heat dissipation, whether via external or internal heatsinks; you might melt all your circuitry. I'll leave it to the more qualified persons to comment. If you put the thing on top of a sandbox, and damped the top with a bag of sand, you might get most of the effect you're looking for. This isn't too far-fetched; I'm currently having external passive crossovers built for my satellite speakers to take the crossover circuitry out of the speaker enclosure, and one of the things being considered is filling that crossover box with a very fine sand to damp internal resonances. In that case we may not be dealing with much heat dissipation, so it may be doable.
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