Aristophanes, it's been the best part of 40 years since I was "up" on vibrations, harmonics, springs, and all that.
(I do know that Liberals give me bad vibes.)
For rifle barrels, what is important is that the vibrations are uniform from shot to shot. We know that if a barrel is not touching the forearm of the stock, there will be no change which is due to the barrel and stock heating--thus expanding--at different rates.
My uncle and Gale McMillan independently arrived at the conclusion that a shim between the barrel and forearm tip will improve accuracy. My uncle explained it to me as the shim acting like the shock absorber on a car, damping the vibrations to a uniform characteristic from shot to shot.
Gale commented that the shim would improve a not-quite-properly bedded rifle. There were two different standards working here; my uncle was working on "as-issued" rifles of the 1940s/1950s, and Gale was thinking more about his own style of target rifles.
Bottom line is that I put a shim in each of my rifles. Just enough thickness that it goes into place with about a five-pound pull separating the barrel and forearm tip. I make the shim with kitchen wax paper, folding a 3/4" strip back and forth until it's thick enough. The shim has always made an improvement, with the reduction in group size varying from rifle to rifle.
And that's all I know about rifle barrels and vibrations.
Art