I can certainly model the system in terms of its harmonic motion after a mass, spring, and damper in the form of X(t)= Ae^w(sin(wdt)). However this does not describe the decay of one impulse traveling through the rod over a very long distance. For instance if I know the amplitude and frequency...
I have been pondering on something all day and have been unable to track down any helpful literature on my particular problem. Suppose for the sake of simplicity you have an infinitely long steel cylindrical rod (say 5" in diameter)suspended in a vacuum (or neglecting all interaction with the...
