A FIBROUS DYNAMIC CONTINUUM MODEL OF THE TYMPANIC MEMBRANE
A FIBROUS DYNAMIC CONTINUUM MODEL OF THE TYMPANIC MEMBRANE
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DOI：
10.1121/1.394284
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发表时间：
1986-12-01
影响因子：
2.4
通讯作者：
HOLMES, MH
中科院分区：
文献类型：
--
作者：
RABBITT, RD;HOLMES, MH
鼓膜的几何形状和各向异性的超微结构与曲线壳方程相结合，制定一个通用的连续模型描述其动态行为。模型中出现的主要项与壳膜恢复力、弯曲型结构阻尼和横向惯性有关。由于该模型广泛基于膜的物理特性，因此相对容易解释物种之间的差异以及病理条件。在哺乳动物鼓膜中显而易见的纤维结构和锥形几何形状，引入了几个小参数到模型中，这些参数被利用以构建封闭形式的渐近解。该解决方案包括耦合到听骨链的三维运动，它包括在耳道中的频率依赖的压力分布。当应用到猫耳膜，这种渐近解再现实验观察到的频率和激励依赖的振动形状的一个大的流形。除了形状，瞬态振幅和相位数据的猫再现。
The geometry and anisotropic ultrastructure of the tympanic membrane are used in combination with curvilinear shell equations to formulate a general continuum model describing its dynamic behavior. Primary terms appearing in the model are associated with shell membrane restoring forces, bending-type structural damping, and transverse inertia. Since the model is based extensively on the physical characteristics of the membrane, it is relatively easy to account for differences between species as well as pathological conditions. The fibrous structure and cone-shaped geometry, readily apparent in mammalian eardrums, introduce several small parameters into the model that are exploited in order to construct a closed-form asymptotic solution. The solution includes the coupling to the three-dimensional motion of the ossicular chain and it includes the frequency-dependent pressure distribution in the auditory canal. When applied to the cat eardrum, this asymptotic solution is shown to reproduce a large manifold of experimentally observed frequency and excitation-dependent vibrational shapes. In addition to the shapes, transient amplitude and phase data for the cat are reproduced.