管钟音高特征的有限元方法研究

FEM analysis of tubularbell pitch characteristics

提出了一种打击乐器——管钟的音高的计算方法。该方法以有限单元法为基础,通过计算管钟振动的各阶模态确定其定音频率。使用该方法研究了管钟音高特征与管长、管径和壁厚等几何参数的关系,得到了一系列反应频率和几何参数关系的曲线。另外,为了对计算结果进行实验检验,采集了管钟的声音,并通过快速Fourier变换对其频率特征进行了分析,其结果与计算结果显示出很好的一致性。该文提出的方法可用于乐器的设计和生产制造过程。

A finite element method was developed to calculate the tubularbell pitch by calculating the tubularbell vibration modes to determine the accordatura frequencies. The relationship between the pitch characteristics and the tube geometric parameters, including the diameters, lengths, and thicknesses, was investigated to obtain a series of frequency-geometry curves. Measurements of the tubularbell frequencies analyzed using fast Fourier transforms agree well with the calculational results, which shows that the method can be used in the design and manufacture of musical instruments.