Kizilova Natalya, Geramy Allahyar, Romashov Yurij
Warsaw University of Technology, Faculty of Power and Aeronautical Engineering, Warsaw, Poland.
Tehran University of Medical Sciences, Dentistry Research Institute, Department of Orthodontics, Tehran, Iran.
Acta Bioeng Biomech. 2016;18(4):97-106.
The plane 2D model and 3d finite element model of the headgear attached to two molars with different mesio-distal location are studied to show the asymmetric mechanical effects produced by symmetrically loaded headgear. In daily dental practice the asymmetrical location of molars is usually ignored.
Six 3D finite element models of a symmetric cervical headgear were designed in SolidWorks 2011. The models showed symmetric molar position (model 1), 0.5 to 2 mm of anterior-posterior molar difference (models 2-5) and a significant asymmetry with 10 mm of difference in the locations (model 6). The head gear was loaded with 3N of force applied at the cervical headgear. The forces and moments produced on terminal molars are assessed.
It is shown the difference between the forces acting at the longer and shorter outer arms of the headgear increases with increase in the distance. The significant numeric difference in the forces has been found: from 0.0082 N (model 1) to 0.0324 N (model 5) and 0.146 N (model 6). These small forces may produce unplanned distal tipping and rotation of the molars around their vertical axes. The most important funding was found as a clockwise yaw moment in the system when is viewed superio-inferiorly. The yaw moment has been computed between -0.646 Nmm (model 1) and -1.945 N mm (model 5).
Therefore even small asymmetry in location of molars loaded by a symmetric cervical headgear will produce undesirable movement and rotation of the teeth that must be taken into account before applying the treatment.
研究将头帽附着于两个近远中位置不同的磨牙上的平面二维模型和三维有限元模型,以显示对称加载头帽产生的不对称力学效应。在日常牙科实践中,磨牙的不对称位置通常被忽略。
在SolidWorks 2011中设计了六个对称颈带式头帽的三维有限元模型。这些模型展示了对称的磨牙位置(模型1)、前后磨牙差异0.5至2毫米(模型2 - 5)以及位置差异达10毫米的显著不对称情况(模型6)。对头帽施加3N的力,作用于颈带式头帽上。评估末端磨牙产生的力和力矩。
结果表明,作用于头帽较长和较短外臂的力之间的差异随距离增加而增大。已发现力存在显著的数值差异:从0.0082N(模型1)到0.0324N(模型5)以及0.146N(模型6)。这些小力可能会导致磨牙意外地向远中倾斜并绕其垂直轴旋转。当从上下方向观察时,系统中最重要的发现是顺时针偏航力矩。偏航力矩的计算值在 - 0.646N·mm(模型1)和 - 1.945N·mm(模型5)之间。
因此,即使对称颈带式头帽加载的磨牙位置存在微小不对称,也会产生牙齿的不良移动和旋转,在进行治疗前必须予以考虑。