Characterization of woodwind instrument toneholes with the finite element method.
Characterization of woodwind instrument toneholes with the finite element method.
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用有限元方法表征木管乐器音孔。
DOI：
10.1121/1.3685481
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
G. Scavone
中科院分区：
文献类型：
--
作者：
Antoine Lefebvre;G. Scavone
提出了一种用有限元方法确定波导中不连续面传递矩阵参数的方法。这是用来表征开放和封闭的木管乐器音孔，并推导出分流和串联当量长度的表达式。音孔的特点有两种：一种是由薄材料制成的无凸缘的音孔，如萨克斯管和音乐会长笛上的音孔；另一种是通过厚材料钻出的音孔，如大多数木制乐器上的音孔。将计算结果与以往文献中的色洞模型进行了比较。总体而言，与以前的结果相比，建议的表达式在广泛的频率和色调孔大小范围内提供了更好的拟合。对于较高的色度孔，其结果与以前的模型基本一致。对于较短的色调孔高度，发现与先前结果的一些差异对于较大直径的色调孔来说是最重要的。最后，研究了主孔锥度(锥度)对音孔特性的影响，发现对于乐器中常见的锥角，锥度的影响可以忽略不计。
A method is proposed to determine the transfer matrix parameters of a discontinuity in a waveguide with the finite element method (FEM). This is used to characterize open and closed woodwind instrument toneholes and develop expressions for the shunt and series equivalent lengths. Two types of toneholes are characterized: Unflanged toneholes made of thin material, such as found on saxophones and concert flutes, and toneholes drilled through a thick material, such as found on most instruments made of wood. The results are compared with previous tonehole models from the literature. In general, the proposed expressions provide a better fit across a wide range of frequencies and tonehole sizes than previous results. For tall toneholes, the results are in general agreement with previous models. For shorter tonehole heights, some discrepancies from previous results are found that are most important for larger diameter toneholes. Finally, the impact of a main bore taper (conicity) on the characterization of toneholes was investigated and found to be negligible for taper angles common in musical instruments.