Three examples of high speed videos of a vibrating violin string. These were taken at one hundred thousand frames a second at Tufts University under the auspices of Chris Rogers, Acoustical physics tells us that a vibrating string vibrates at all of its overtone simultaneously. This is physically impossible. Sound is sequentail in nature. This is explained in depth in the Structural Resonance papers. The idea of simultaneity comes from the viscous nature of air.
We would think then that a vibrating string would vibrate in a series of different lengths of the string. This is the path taken in the Structural Resonance theory but experiments show that even this is not true. Much to our surprise the string merely goes back and forth. The examples below illustrate this quite conclusively.
The vibrating string must behave similarly to the tines of a tuning fork. The tines do not subdivide, they too simply go back and forth. This is not simple harmonic motion because the tines bend. The distortion of the shape of the tines causes powerful longitudinal waves to form that feed the body of the tuning fork. This is where the sound is created.
The same thing happens with a vibration string. The sting, as it moves back and forth, is distorted and again longitudinal waves are created that feed into the body of the violin and ultimately a standing wave is formed in the air chamber of the instrument. This is where the sound of the violin is formed. Again this is described in depth in the Structural Resonance papers. These examples offer the proof.