Nonlinear modelling of the middle ear as an elastic multibody system - Applying model order reduction to acousto-structural coupled systems
Nonlinear modelling of the middle ear as an elastic multibody system - Applying model order reduction to acousto-structural coupled systems
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DOI：
10.1016/j.cam.2012.07.010
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发表时间：
2013-07-01
影响因子：
2.4
通讯作者：
Eberhard, P.
中科院分区：
文献类型：
--
作者：
Ihrle, S.;Lauxmann, M.;Eberhard, P.
在这项研究中，考虑了人类听觉的建模。由于中耳的非线性，声音传递随着中耳结构平衡位置的变化而变化。为了描述中耳的非线性弹性多体系统推导。鼓膜和耳道中的空气以及鼓室中的空气被认为是弹性体。他们首先使用有限元法建模。大量的自由度使得声结构有限元模型的后续简化步骤不可避免。通过应用基于Petrov-Galerkin投影的降阶技术，系统矩阵的二阶结构得以保持。假设鼓膜的非线性可以用耳道和鼓室之间的相对压力来表示，则通过矩阵插值的参数模型降阶的方法来包括鼓膜的非线性。最后，静态和动态行为的仿真模型进行审查，为不同的中耳静压负荷。(C)2012爱思唯尔有限公司版权所有。
In this study, modelling of the human hearing is considered. Due to the nonlinearity of the middle ear, the sound transfer changes as the equilibrium position of the middle ear structure varies. For the description of the middle ear a nonlinear elastic multibody system is derived. The tympanic membrane and the air in the ear canal as well as in the tympanic cavity are considered as elastic bodies. They are first modelled using the finite element method. The large number of degrees of freedom makes a following reduction step of the acousto-structural finite element model inevitable. The second-order structure of the system matrices is preserved by applying reduction techniques based on Petrov-Galerkin projection. The nonlinearity of the tympanic membrane is included following the approach of parametric model order reduction by matrix interpolation assuming that the nonlinearity can be represented by the relative pressure between the ear canal and the tympanic cavity. Finally the static and dynamic behaviour of the simulation model is reviewed for different static pressure loads of the middle ear. (C) 2012 Elsevier B.V. All rights reserved.