When you change the oil's viscosity, or the shot size, you are changing the damping forces on the barrel. When you shift the location of the device, you are changing frequencies and modes of vibration, which also can change the effectiveness of the damping force.this is a simple explanation but it gives some insight into how it works. i know you mentioned trial and error is best. but is there actually some mathematical solution to this to determine the best weight NOT based on caliber but FPE? you know the feeling even if the current device works, but what if its not the best and requires more T&E.
At 900 fps, the pellet is in the barrel about 3 mSec. (0.003 sec)…. However, it travels the last 1" in about 0.1 mSec. (0.0001 sec), and the direction that last inch is pointing determines the departure angle of the pellet.... For a pellet to hit 2" different POI at 50 yards, the muzzle departure angle is changing only 4 MOA (assuming that is the only reason for the POI change)…. I think that means that angle change must be occurring in 0.0001 sec....I would suggest that the disturbing force causing the barrel to vibrate is likely somewhat proportional to the energy input (the FPE)…. but that is resisted by the barrel mass (so the heavier the barrel + damper the less amplitude)…. However, the frequency and amplitude will be somewhat inversely proportional to the barrel stiffness.... In other words, 10 times the FPE in a barrel that is 10 times as stiff may have a similar amplitude, but assuming the same length, the stiffer barrel would have a higher frequency.... I certainly do not have the brain power to contemplate such calculations....Bob
say that an airgun at 100fpe is able to vibrate the barrel at a constant frequency and amplitude
well now, it sounds to me like we have the recipe but no one knows when to throw them in the pot. even if we have parts of the recipe it will turn out something if we just throw it in the pot. let me break it down and maybe we can work from there. no Phd required, i am not qualified but having a little Magnetic resonance education, i 'd like to "take a crack at it" as Texans here like to say. Lets define the problem. the problem is clearly the barrel vibration. this can be minimized with a secured barrel band at the very end of the barrel or having some dampening or harmonic balancers in place. and since we are building a dampening system, we want to find the ideal weight and fine tune it later. this is the reason we are pursuing a mathematical equation. even though we have some data and can do trial and error but we want a good starting point.lets convert all calibers into FPE and say that an airgun at 100fpe is able to vibrate the barrel at a constant frequency and amplitude and that An unknown weight can counter. now were just need to put it into an equation and work it out. for example, we know 14oz works for 95-100fpe from Knife's report. what was his frequency and amplitude? is 14oz the best weight or will 10oz be best? forget every other detail like angle of exit and such. those will be solved when the barrel doesn't flex as much by having a clamp or a device capable of doing such. well, can we all brainstorm a little and come up with an equation? i think we also need a man who has the equipment to measure the frequency and amplitude.