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No, Larry you missed my point. Explanations and mathematics DO mean a lot. The point was; big k didn't make any real explanations, or use any mathematics, he just used a lot of "wannabe-engineer" words! Just like a whole bunch of other guys posting in this forum!
You used a lot of scientific and engineering terms, but that's all you have done...use the words! You really haven't said anything that has any meaning as far as vibration or tuning - or guns for that matter! Sorry to come down on you so hard but you did say "good or bad".
rifleing turns ratio (a very important number!)
resonance (nice scientific word!)
power in synchronizition (???)
sine wave ( a plot or a barrel shape???)
peak vs null (new definition of sine wave???)
knowing the wave length (right!)
laser just touching the barrel (wow, engineers could really use that concept!}
metric conversion (thats real science!)
strange gage (those are best kind to use!)
barrel tuning physics (that's a catchy title!)
I'm surprised no one here seems to have noticed that the equation near the beginning of the PDF:
wavelength (meters) = 300/frequency in megahertz
gives the approximate wavelength for electromagnetic energy propagating in a vacuum. That has little or nothing to do with the mechanical vibrations of a rifle barrel. A steel bar (barrel) has many resonant frequencies each depending on what location and direction forces are applied. Abarrel can vibrate at multiple frequencies simultaniously. The wavelength of mechanical vibrations propagating through a solid are not defined by it's frequency unless the mode of propagation is also defined. Possible modes include lognitudinal, tortional, and flexure though all are related. A barrel being attached to a mass (like a receiver and a stock) or perhaps a "barrel tuner" has major efffects on the possible modes of vibration, their frequencies, and their dampening rates.
Big K, Not to dampen your enthusiasm, but I'd suggest you set up and observer the results of some of your ideas with actual experiments before publishing them. You've bitting off a complex subject and (in my opinion) have several misconceptions. I'm not an expert on rifle tuning. I build astronomical telescopes. How they flex and vibrate from changing their pointing and from wind is of concern for me. The principles are similar.
....and then we have to fly the plane to see if the assumptions that were made when it was designed are correct.
Has your analysis of this particular problem led to any novel solutions that produce superior results? It would be fun to read of something new.
One more question, just how is free floating a barrel a form of damping? I would think that free floating is a way to eliminate the variables introduced by most damping schemes.
You mean to say that for a given system and energy input, the RMS value remains the same and since bedding the barrel shortens its vibrating length, which raises its frequency, in order for the RMS value to remain constant the amplitude of the wave must increase.....unless some of the energy is transferred to the bedding system, and converted to heat? Isn't this transfer and conversion what constitutes damping?