Some very large battery banks use air to stir the electrolyte but smaller ones are best equalised once in a while to keep the electrolyte mixed.
I am sure a vibrator would work but it doesn't seem practical from the energy wasted and I agree with others that something sufficiently violent to mix the electrolyte would start to damage the active plate material.
Batteries are a pain , they always have been and while we stick to lead acid they will always will be. They die if you use them, they die if you don't, you can't win. The methods that have been adopted over the years work as well as any and a simple equalising charge will waste far less energy then trying to devise new ways.
If you must avoid the problems of wet cells you can use VRLA but these come at a higher price and have some limitations that make them less useful than wet ones except for standby duty.
From what I see of wet Plante cells the modern methods of pampering them with clever charge controllers and the new ideas don't make them last any longer than the crude methods we used years ago. The newer less robust technologies may be different, we didn't have them then to compare.
Flux
