Miyakawa O
Shika Rikogaku Zasshi. 1976 Nov;17(40):287-96.
Forces and moment transmitted to the abutment teeth were numerically analyzed using a model for a posterior bridge. Three cases were chosen to investigate the influence of loading condition; a vertical (A) and a mesially inclined (B) load at the center of pontic and a vertical load at the abutment (C). The results obtained are as follows: Under the condition (A), as reported previously, both moment and force increase as bridge flexural rigidity is less or bridge span longer. When the load shifts to the abutment tooth, the moment slightly increases as flexural rigidity is greater or bridge span shorter, but horizontal force is scarcely transmitted to the abutment teeth. Maximum moment under the condition (C), however, is not so great as that under the condition (A) and the difference decreases among the moment values calculated from the present model and two theories of general-beam and rigid-beam model. Consequently, special attention should be given to the more flexible pontic which might very possibly cause injury to the abutment teeth under the first two conditions. Even though the resultant force is not very great, its supporting tissues with smaller surface area tend to be subject to higher stress.
使用后牙桥模型对传递到基牙的力和力矩进行了数值分析。选择了三种情况来研究加载条件的影响:在桥体中心施加垂直载荷(A)和近中倾斜载荷(B),以及在基牙处施加垂直载荷(C)。得到的结果如下:在条件(A)下,如先前报道的那样,随着桥体挠曲刚度减小或桥跨长度增加,力矩和力都会增加。当载荷转移到基牙时,随着挠曲刚度增大或桥跨长度缩短,力矩略有增加,但水平力几乎不会传递到基牙。然而,条件(C)下的最大力矩不如条件(A)下的大,并且根据本模型以及通用梁模型和刚性梁模型这两种理论计算出的力矩值之间的差异减小。因此,对于在前两种条件下很可能对基牙造成损伤的更具柔性的桥体,应给予特别关注。即使合力不是很大,但其表面积较小的支持组织往往会承受更高的应力。