声带振动的有限元模拟

F. Alipour-Haghighi, I. Titze
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引用次数: 5

摘要

提出了一种声带振动的计算机模拟方法。通过施加脉冲和随时间变化的表面力来研究自由振荡和强迫振荡。采用半离散数值方法求解。在空间上用有限元方法求解,在时间上用Crank-Nicholson有限差分方法求解。每个声带被分成9个等厚的平行层,可以应用二维有限方法,层与层之间通过弦定律耦合。选择不同大小的三角形元素,使手指元素出现在褶皱的尖端,在那里最大和最可能的运动是预期的。在声带模型中考虑了两种不同的材料,分别对应于肌肉和声带盖。得到节点的水平和垂直位移作为时间的函数。此外,还获得了系统对正弦变化力的响应,并与相似载荷下切除喉部的实验结果进行了比较,以验证模型的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A finite element simulation of vocal folds vibrations
A computer simulation for vibration of the vocal folds is presented. Free and forced oscillations were studied by imposing an impulse and time varying surface forces. The solution was obtained by a semidiscrete numerical method. A finite-element technique was used for solution of the problem in space and a Crank-Nicholson finite-difference method was used for time integration. Each vocal fold was divided into nine parallel layers of equal thickness where a two-dimensional finite method could be applied and layers were coupled to each other by a string law. Triangular elements of different size were selected such that finger elements appeared in the tip of the fold, where the largest and most probable movement was expected. Two different materials, corresponding to the muscle and cover, were considered in the model of vocal cords. Horizontal and vertical displacements of nodal points were obtained as a function of time. In addition, the response of the system to a sinusoidally varying force was obtained and compared with experimental results of an excised larynx of similar loading for validation of model.<>
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