Numerical Estimation of the Centres of Rotation and Resistance in Orthodontic Tooth Movement.
Numerical Estimation of the Centres of Rotation and Resistance in Orthodontic Tooth Movement.
复制标题
正畸牙齿移动中旋转中心和阻力中心的数值估计。
DOI：
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发表时间：
1999
影响因子：
1.6
通讯作者：
C. Provatidis
中科院分区：
文献类型：
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作者：
C. Provatidis
在力系统作用下，牙齿的阻力中心和旋转中心的位置仍然是一个悬而未决的问题。本文提出了一种可靠、高效的三维刚体有限元技术来精确估计这些中心。研究了牙根长度、牙根直径、牙周膜厚度以及牙周膜材料特性对Cre和Cro位置的影响。此外，对Burstone理论公式中所涉及的系数（0.068 h(2)）的含义进行了解释。Burstone理论公式将其一般化，分别表示为齿支撑平移柔度与纯力矩旋转柔度之比。前一种比率决定了旋转中心的位置作为施加力矩-力比（M/F）的函数，并且对于任何任意形状的牙齿，相关曲线仍然是等腰双曲线。目前的研究主要集中在单根牙齿，如上颌犬齿和上颌门齿，但所提出的方法一般适用于任何牙齿。
The position of the centre of resistance (Cre) as well as the centre of rotation (Cro) of a tooth under a force-system is still an open question. This paper presents a reliable and efficient three-dimensional rigid-body finite element technique to accurately estimate these centres. The influence of not only the root length but also the root diameter, the thickness of the periodontal ligament, as well as its material properties on the position of the Cre and Cro is investigated. Additionally, an explanation is given for the meaning of the coefficient (0.068 h(2) ) involved in Burstone's theoretical formula which is generalised and is expressed as the ratio of the flexibilities of tooth support in translation and pure moment rotation, respectively. The former ratio determines the position of the centres of rotation as a function of the applied moment-to-force ratio (M/F) and the relevant curve remains an isosceles hyperbola for any arbitrary-shaped tooth. The present study focuses on single-rooted teeth, such as maxillary canines and maxillary incisors, but the proposed methodology is generally applicable to any tooth.