Sorry to have been less than clear. I've not personally tried hitting barrels to test harmonics/vibration. I was only suggesting clamping a barrel and hitting it (with whatever you have handy to make it ring, such that you get it moving but don't damage the finish) and listening to it ring as perhaps being a useful component in getting a rough idea how the barrel is behaving. A barrel is a metal rod. Sure it has a hole in it, but so what? It's a rod which has particular physical characteristics as regards modulus of elasticity and such, controlling the amplitude and frequency of vibrations particular to its density, length, OD, bore size, any tapering which might be present, muzzle device mass, etc. It's behaving exactly like a tuning fork when struck. It's moving, thanks to a violent impulse. And of course that impulse is different from hitting it from the side, but I'm talking about finding a good starting point from which more refined, delicate variations in mass and/or placement of a weight can then proceed. Otherwise you'd just be taking a wild guess (or W.A.G.) as to how much metal and where to put it.Clamping it securely at the exact same exit point from the clamping caul (and manner if possible - a pair of semi-cylindrical cauls to enclose the barrel in a vise would be ideal, or just clamp the rifle barrel block itself with barrel mounted if that's practical) as it exits the mount on the rifle simulates the same freedom of vibration as when mounted in the gun, or close enough for getting a ballpark guess going on vibrations. Adding some form of weight at various points and striking the barrel to get it vibrating, one should be able to hear the biggest, sloppiest vibration of the barrel without the weight, then find the placement and amount of weight which most effectively dulls that vibration. Most any material has a natural frequency of vibration. Finding a counterweight which is optimal for interfering with that vibration is likely going to get you close to stopping the barrel's movement during a shot cycle.Getting into nodal points and peaks of vibration would be great if you had the proper lighting setup and a high speed camera. Analysis of the actual motion of the barrel would greatly enhance your ability to quickly establish the effectiveness of various weights and placements. But of course most of us don't have access to this equipment nor the knowledge of how to use it. So I suggested using your ears to determine how much vibration your weight is damping, finding a minimum value by a bit of trial and error in the vise, then further refining this by shooting groups and making small adjustments to the mass and location of that mass on the barrel.