This would be a very interesting scientific territory to explore. I am not aware of such studies, even if I clearly understand their importance. Fear of dentists is still alive.
Sensory nerve endings for vibrations are present in periodontal ligament.
There is no index or methods for determining the vibratory sensation of periodontal ligament.
My interest is to see the effects of local anaesthesia on suppression of vibration sensation and recovery during fading away the effects of local anaesthesia complete