京胡和二胡的共鸣器

Resonators of Jinghu and Erhu

本文主要是对京胡和二胡共鸣器的理论分析。从膜与琴筒内声波的耦合振动出发,给出共振频率和共振响应的近似解,并与实验结果进行比较。对于二胡的共鸣器,由实验的声压分布推算琴筒开口格板的声阻抗率作为格板的影响。文中还给出共鸣器辐射场声压频率特性的例子。

This paper presents a theoretical study on the resonators of Chinese bowed-string instruments, Jinghu and Erhu. From the analysis of couple motion of membrane and air in resonator-cylinder, approximate solutions for resonant frequencies and resonant response of the resonator are given. The calculated resonant frequencies are conformable with that of experiments. The acoustic impedance of grate opening at the rear end of the resonator has been calculated from the experimental distribution of sound pressure in the resonator-cylinder to show the effect of grate opening on the characteristics of the resonator. The frequency response of sound radiation is given by ratio of sound pressure to the vibrational velocity of the string at the bridge.