Calculation of natural frequencies of teeth supported with the periodontal ligament
Calculation of natural frequencies of teeth supported with the periodontal ligament
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DOI：
10.4012/dmj.26.254
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发表时间：
2007-03-01
影响因子：
2.5
通讯作者：
Fukui, Hisao
中科院分区：
文献类型：
--
作者：
Kojima, Yukio;Fukui, Hisao
利用力学模型计算了四种齿型的固有频率和振型。将牙槽骨和牙齿视为刚体，牙周膜视为弹性弹簧。所有的自然频率都在1至10 kHz的范围内。四颗牙齿的第一阶固有频率均在1.5kHz左右，随着牙根长度的减小而减小。它们的振动模式是根部的倾翻运动。扭转振动模式的固有频率，或绕齿轴的旋转运动，受到根配置。当牙齿和牙周膜受到周期性的力作用时，会产生相应的共振模式。这种现象可用作牙周组织的诊断和治疗方法。
Natural frequencies and vibration modes of four kinds of teeth were calculated by using a mechanical model. The alveolar bone and the tooth were assumed as rigid bodies, while the periodontal ligament was assumed as an elastic spring. All the natural frequencies were within a range of 1 to 10 kHz. The first natural frequencies of four teeth were about 1.5 kHz, and decreased as the root length decreased. Their vibration modes were tipping movements of the root. The natural frequency of the twisting vibration mode, or rotating movement around the tooth axis, was affected by root configuration. When subjected to a periodic force, the tooth and periodontal ligament would vibrate with the corresponding resonance mode. This phenomenon may be used as a method for the diagnosis and the treatment of a periodontal tissue.