Analysis of Tooth Root Translation in Linear Elastic Periodontal Ligament

In present paper the simulation of the initial tooth translational displacement on the periodontal linearly elastic shell are performed. The geometric shape of the tooth root is described by equations of the circular hyperboloid. The outer surface of the periodontal ligament fixed in the dental alveoli. The inner surface of the periodontal ligament coincides with the outer surface of the tooth root. The relationship between displacement and deformation of periodont is defined taking into account the incompressibility of the periodontal tissues. The coordinates of the root center of resistance and the line a concentrated load angles of orientation action is defined for a of single"root tooth. A comparative analysis of the results of the calculation сoordinates of the centers of resistance on the basis of analytical and finite-element model