I agree with Bang guy. A reef without fish might be a much better idea. Inverts dont get stessed as much as fishes when it comes to vibrations. Along with some of the precautions that jferrier mention, it should work out.
Many state that there are bars and restaraunts have surviving fish tanks in them. Bars and restaraunts have a much lower amount of vibration in them. And also a fish tank where the inhabitants are surviving is very different than a successfull, happy tank. As chinnyr stated, even people tapping on glass stresses out the fish, so what do you think loud vibrations would do.
So if you do set one up, take every precaution to reduce the noise and vibrations to the tank.