The korean journal of orthodontics (대한치과교정학회지)

The Korean Association Of Orthodontists (대한치과교정학회)
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Finite element analysis of effectiveness of lever arm in lingual sliding mechanics

Lingual sliding mechanics의 lever arm 효과에 대한 유한요소분석

  • Received : 2010.11.24
  • Accepted : 2011.05.13
  • Published : 2011.10.30
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Abstract

Objective: The aim of this study was to conduct three-dimensional finite element analysis of individual tooth displacement and stress distribution when a posterior retraction force of 200 g was applied at different positions of the retraction hook on the transpalatal arch (TPA) of a molar, and over different lengths of the lever arm on the maxillary anterior teeth in lingual orthodontics. Methods: A three-dimensional finite element model, including the entire upper dentition, periodontal ligaments, and alveolar bones, was constructed on the basis of a sample (Nissan Dental Product, Kyoto, Japan) survey of Asian adults. Individual movement of the incisal edge and root apex was estimated along the x-, y-, and z-coordinates to analyze tooth displacement and von Mises stress distribution. Results: When the length of the lever arm was 15 mm and 20 mm, the incisal edge and root apex of the anterior teeth was displaced lingually, with a maximum lingual displacement at the lever arm length of 20 mm. When the posterior retraction hook was on the root apex, the molars showed distal displacement. When the length of the lever arm was 20 mm, anterior extrusion was reduced and the crown of the canine displaced toward the buccal side, in which case, the retraction hook was on the edge, rather than at the center, of the TPA. Conclusions: The results of the analysis showed that when 6 anterior teeth were retracted posteriorly, lateral displacement of the canine and lingual displacement of the incisal edge and root apex of the anterior teeth occur without the extrusion of the anterior segment when the length of the lever arm is longer, and the posterior retraction hook is in the midpalatal area.

전치의 후방 견인 시 적절한 치아 이동 상태 조절은 필수적이다. 설측 장치를 이용한 레버 암 길이의 조절을 통하여 치아 이동에 관한 연구는 있었으나 3차원적인 변위 양상에 대한 연구는 많이 이루어지지 않은 실정이다. 이에 본 연구는 상악 전치부의 레버 암(lever arm)의 길이를 5 mm 단위로 20 mm까지 증가시켰으며 대구치와 TPA (trans palatal arch) 상에 있는 견인 훅(hook)의 위치를 달리 하여 200 gm의 후방 견인력을 가했을 때 나타나는 치아 변위 양상과 응력분포를 3차원적 유한요소분석을 통하여 알아보고자 하였다. 이를 위하여 아시아 성인의 표본조사를 통해 제작된 치아모형(Nissan Dental Product, Kyoto, Japan)을 3차원적으로 스캐닝한 후 상악치아, 치주인대, 치조골에 대한 유한요소 모델을 제작하였다. 각 치아의 절단연과 치근첨의 이동량을 x, y, z 좌표에서 각각 계산하여 치열의 변위 양상을 분석하고 von Mises 응력 분포를 계측하였다. 연구 결과, 정상 교합 모형의 레버 암 길이가 15 mm, 20 mm인 경우 전치 절단연과 치근첨의 설측 변위가 유도되었다. 본 실험의 조건 중 20 mm에서 치근첨의 설측 변위는 최대로 나타났다. 구치부 견인 훅이 치근첨에 있을 때 대구치 치관은 원심 방향으로 변위되었다. 또한 레버 암의 길이가 20 mm인 경우 전치부의 정출은 미약하였고 견치 치관은 협측 방향으로 전위되었다. 이 때 구치부 견인 훅의 위치가 TPA의 구개 중앙 측에 있을 때보다 가장자리 측에 있을 때 견치 치관은 더 많이 전위되었다. 이상의 결과를 토대로 설측 장치를 이용한 상악 6전치의 후방 견인 시 레버 암의 길이가 길고 구치부 견인 훅의 위치가 구개 중앙부에 있을 때 전치부 절단연(incisal edge)의 정출 없이 견치의 측방 전위 및 전치부 절단연과 치근첨의 설측 변위가 공히 나타남을 알 수 있었다.

Keywords

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