Williams K R, Lesser T H
Department of Basic Dental Science, University of Wales College of Medicine, Cardiff.
Br J Audiol. 1990 Oct;24(5):319-27. doi: 10.3109/03005369009076572.
The present work examines the natural frequencies of vibration of the decoupled human tympanic membrane using the finite element method. A model comprising 49 isoparametric semi-loof thin shell elements was built, based on shape measurements of Kirikae (1960) and our own measurements on several local cadaver ears. A range of material data input was used similar to that assessed earlier by Funnell and Laszlo (1978). The present results indicate the natural vibration mode shapes are simple at low frequencies, but become more complex at higher values as found earlier (Tonndorf and Khanna, 1972; Funnell and Laszlo, 1978), but at reduced frequencies. Data input of the real drum thickenesses and dimensions considerably increases the natural frequencies by about 50% above those for a uniformly thick membrane. It is suggested that realistic eardrum natural frequencies may result from the use of a membrane internal stress parameter in the data file in order to simulate the interplay between radial and circular fibres resulting in the observed drum curvature.
本研究采用有限元方法研究了解耦的人鼓膜的固有振动频率。基于Kirikae（1960年）的形状测量以及我们自己对几只当地尸体耳朵的测量，构建了一个由49个等参半薄壳单元组成的模型。使用了一系列材料数据输入，类似于Funnell和Laszlo（1978年）早期评估的数据。目前的结果表明，低频时的固有振动模态形状简单，但如早期发现的那样（Tonndorf和Khanna，1972年；Funnell和Laszlo，1978年），在较高频率时会变得更加复杂，但频率会降低。实际鼓膜厚度和尺寸的数据输入使固有频率比均匀厚度膜的固有频率大幅提高约50%。建议在数据文件中使用膜内应力参数来模拟径向和环形纤维之间的相互作用，从而产生观察到的鼓膜曲率，以此得出逼真的鼓膜固有频率。
