Acoustic Wave Propagation in a Cylindrical Elastic Tube Filled with Inviscid Liquid

• Main Authors: Tzu-Huan Peng, 彭子桓
• Other Authors: Yuan-Fang Chou
• Format: Others
• Language: zh-TW
• Published: 2014
• Online Access: http://ndltd.ncl.edu.tw/handle/51846960145270535700

碩士 === 國立臺灣大學 === 機械工程學研究所 === 102 === In this article, the acoustic wave propagation in the model “Cylindrical Elastic Tube Filled with Inviscid Liquid” is studied, for explaining special acoustic propagation phenomena in the cochlear － fast wave and slow wave, and traveling wave with well slow velocity. In the study of the model “Cylindrical Elastic Tube Filled with Inviscid Liquid”, the governing equations of tube and liquid with appropriate material parameters and boundary conditions, are solved by MATLAB to get the dispersion curve and the mode shapes. Investigation the dispersion curve and mode shapes of the model, it can be found that there’s no cutoff frequency in the 1st and 2nd mode, which originate from the plane wave of liquid and tube, and they also have well slow velocity just as the phase velocity plot showing. The characteristic in the model above can explain the wave propagation phenomena in the cochlear. Besides, it is found the modes of liquid appear significantly in the high frequency place. In these areas, the mode shape of the liquid part is larger and the group velocity is faster than those in the other areas.