gzpiano Been able to identify the physical source of all oscillations except one.
That's a big question, which we can definitely tackle. Answering the beginning here not to keep others in the dark, but perhaps it's best taken into its own conversation (or github issue or maybe even privately via email)
So when you have a complex body oscillating you excites a number of things. Consider a weight attached to a rope, it can move left-to-right and front to back (assuming the rope stays always taut). It will move left-to-right if you initially excite it in that direction and likewise in the other direction. In this case, the two physically and geometrically meaningful "things" stay separate. In more complicate cases (such as a piano string in a real piano) they mix up. You get a small glimpse of this at https://en.wikipedia.org/wiki/Normal_mode
In addition to the ones which you certainly are thinking about, there will be torsional ones such as these: https://www.acs.psu.edu/drussell/Demos/Torsional/torsional.html
I'm sure this does not answer your question yet, but it does give you more information in theory, and in practice it explains the need to use more than one sensor to gather information about what this might be.