Abstract
Dental cavity represent one of the widespread illness of the tooth. Method for treating of the tooth is to drill the cavity and to fill the hole with suitable material. Measurements show that during drilling the tooth vibrates with increasing mass that causes unpleasant feeling for patient. The aim of the paper is to give the theoretical explanation for this phenomena and to give suggestion for vibration elimination. During drilling, mass of the tooth is decreasing and the so called ‘reactive force’ occurs. Drilling and reactive force cause tooth vibration. The system is modeled as a nonlinear time variable system. An analytical procedure for solving of the equation of vibration is developed. The solution is assumed in the form of the generalized trigonometric function with time variable amplitude and phase. It is obtained that not only the amplitude but also the frequency of tooth vibration in drilling are increased. In addition to reactive force the drilling velocity, diameter of the drill tool and spindle speed affect the vibration level. The appropriate values of these parameters would eliminate or decrease the patient bad feeling.
Highlights
Tooth decay is a damage to a tooth caused by bacteria in mouth which make acids that attack the enamel of the tooth
The aim of this paper is to investigate the vibration property of the tooth during drilling
The vibration is caused with the drilling force and with the reactive force[15] which occurs due to tooth mass variation during drilling time and is the product of velocity and the time derivative of mass
Summary
Tooth decay is a damage to a tooth caused by bacteria in mouth which make acids that attack the enamel of the tooth. Tooth decay can lead to cavities (dental caries), which are holes in teeth[1]. One of the methods of treating the tooth is to remove the decayed tooth tissue by drilling the cavity and to fill the hole with suitable material. Using the results obtained in drilling of machines parts, it is concluded that the roughness of the surface is connected with the vibration property[10]. The special attention is given to mass variation during tooth treatment and its effect on amplitude and frequency of vibration. The vibration is caused with the drilling force and with the reactive force[15] which occurs due to tooth mass variation during drilling time and is the product of velocity and the time derivative of mass. The theoretical consideration is compared with experimentally obtained results which are already published (see[14,18])
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