Metal bars vibrate at different amplitudes and frequencies depending on their dimensions, weight, and modulus of elasticity. The "node" I think you are referring to is located about 2/3 the length out from the receiver. You may be able to "feel" this in a vibrating barrel but not likely unless you have struck the barrel with a lot of force. Tapering a barrel will move the node out toward the muzzle slightly. Fluting a barrel simply makes the barrel stiffer relative to the weight and thus it vibrates the same as a solid barrel but with different amplitude and frequency.
"Resonate" is probably not a correct term to apply to barrel vibration. A steel bar will only resonate when the force causing the vibration is applied in such a way as to reinforce or increase the amplitude. It's necessary that the force be replied several times, or for some period of time, to cause resonance.
It has been determined that moving the node toward the crown is probably not the best way to increase accuracy. I think most now accept Varmint Al's analysis that indicate you want to move the bullet exit from the barrel so it occurs while the muzzle is moving away from the axis. Adding weight to the barrel, or moving this weight will accomplish this.