Well, firstly I just want to say that my riving knife is thin and blunt, and used only for removing the tops of basses ... not intended to be used on any person unless they need their top removed as well
Why do this sort of analysis, well, I just see it as another way of measuring the properties of a piece of wood carved a certain way.
If you are just making a favourite cake you might change the recipe each time a bit at whim or to suit your taste or the variability of the ingredients. However for communicating that recipe to someone else, or for consistency of results, its usually possible to write down the recipe. It might not communicate everything, and doesn't explain why grandma's version always tastes better than the one made according to the recipe ... but at least it provides the basis for the same cake. And of course, an expert chef won't follow his own recipe anyway, at least not a written one. But he might copy someone elses recipe, before adapting it to his own ...
I suppose I see the value in Chladni patterns the same way. It could be one way of measuring the flex properties of a bass top. If those patterns mean something - and I presume they do - then that's yet another way of communicating or recording that piece of wood/work. As well as arching height, outline, graduations, wood type.
If someone like Carleen Hutchins or
Link Removed can interpret these patterns in such a way that they can guide their work on tuning top, and come up with good results, then great. I'm not necessarily looking for that type of use yet though, I'm just having fun.
By the way, Chladni used a
bow to excite the plates he was studying. Perhaps he was inspired by watching a luthier in some dusty workshop testing his violin plates?? So the italian masters
would have had that technology as well, although whether they used this or not, is pure speculation.
Harry Vatiliotis and other makers weigh their tops religiously, and graduate to a certain target weight. I thought "why on earth do this?" but he explained that in fact it was a very good way of compensating for the variability in density of different pieces of wood. Kind of makes sense.