I’ll check it out. Simplest, most straight forward solution so far. Far from exact, and not suitiable for more than giving a pointer. But that might be enough for this purpose.
The test/review is not primarily a technical one. The technical part of it is just to add a little bit of objectiveness into it.
I think Firelight2 is on the right track. Although the amplitude of vibration might not be enough to cause cavitation resulting in bubbles, I believe there would be some ripples created on the surface of the water. An eyeball estimate of the amplitude (size) of the ripples might be useful, as might side-by-side videos of two different tests.
Another liquid suggestion; start with fresh water in a clear glass vessel. Place a device in the water & allow any resulting agitation to dissipate for, say, 10 minutes to make sure the liquid is still. Place one drop of food coloring a specified distance from the device. Apply power, and time how long it takes for the food coloring to be evenly dispersed in the tank.
For AC powered devices, the wattage draw of each device may be useful for power estimates.
I’m not sure using a sound analyzer is the best way to go. Noise from the motor might be louder on some samples due to choice of motor or insulating material. Noise alone may not actually translate to stronger vibrations.
Though I suppose it could help you measure the frequency of vibrations.