一种非线性耳蜗力学模型

A NONLINEAR MECHANICAL MODEL OF COCHLEA

根据耳蜗的实际工作原理，在对耳蜗流体运动做了某些假设之后，对用来描述耳蜗流体运动的Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程进行了必要的简化。在保留了方程中非线性项和粘滞项的条件下，求出了耳蜗流体在纯音激励下的压力分布，并由此建立了一种纯音激励下的二维非线性耳蜗力学模型，在将基底膜离散化之后，术出了该模型的传输函数，并绘出了基底膜上１０个等距离，点的频率特性曲线，计算结果与Ｒｈｏｄｅ的实验数据相当接近。

According to the cochlear principle,some assumptions for thecochlear fluid motion aremade in this paper. The Navier-Stokes equation used to describe the cochlear fluid motion issimplified according to the assumptions。The pressure gradient of the cochlear fluid is obtained under the excitation of pure tone with nonlinearity and viscosity still preserved in theequation. A two-dimensional nonlinear cochlear model with pure tone excitation has been fi-nally developed.Transfer function of the model has been obtained after basilar membrane isdiscretized.Ten frequency response curves are presented to show that the results are quiteconsistent with the experimental data.