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连续声带模型对几何参数、约束条件和边界条件的敏感性。

Sensitivity of a continuum vocal fold model to geometric parameters, constraints, and boundary conditions.

作者信息

Cook Douglas D, Mongeau Luc

机构信息

School of Mechanical Engineering, Purdue University, West Lafayette, Indiana 47907-2031, USA.

出版信息

J Acoust Soc Am. 2007 Apr;121(4):2247-53. doi: 10.1121/1.2536709.

Abstract

The influence of key dimensional parameters, motion constraints, and boundary conditions on the modal properties of an idealized, continuum model of the vocal folds was investigated. The Ritz method and the finite element method were used for the analysis. The model's vibratory modes were determined to be most sensitive to changes in the anterior-posterior length of the vocal fold model, due to the influence of three-dimensional stress components acting in the transverse plane. Anterior/ posterior boundary conditions were found to have a significant influence on the vibratory response. Overestimation of modal frequencies resulted when vibration of the structure was restricted to the transverse plane. The overestimation of each modal frequency was proportional to the ratio of longitudinal to transverse Young's modulus, and was significant for ratio values less than 20.

摘要

研究了关键尺寸参数、运动约束和边界条件对理想化声带连续体模型模态特性的影响。采用里兹法和有限元法进行分析。由于横向平面内三维应力分量的影响,确定模型的振动模式对声带模型前后长度的变化最为敏感。发现前后边界条件对振动响应有显著影响。当结构振动限制在横向平面时,模态频率会被高估。每个模态频率的高估与纵向杨氏模量与横向杨氏模量的比值成正比,对于小于20的比值,这种高估很显著。

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