不同尺寸瓶子中亥姆霍兹共振行为的研究

S. Adhikari, B. Sapkota, S. Dhungana, P. Pokharel
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引用次数: 0

摘要

共振是系统在受到相同频率的外力作用时,能够以一定频率振动的特定响应。当空气吹过不同瓶子的开口时,空气就会以共振频率在颈部振动。在本研究中,我们考虑5-5瓶不同的五种类型的瓶子,不同的颈长,端口半径,端口截面积,相同的体积(250ml)。研究了不同瓶子的共振,确定了不同瓶子的空腔体积对共振的影响。通过计算和实验数据,我们发现在不同的瓶子中,亥姆霍兹共振频率随体积的增大而减小,反之亦然。从图中我们还发现,计算模型和实验模型的响应数据在其平均值附近的变异性分别约为100%和99%。这些不同的瓶子的实际范围是从256到512赫兹。这大约是一个八度加上乐器中间的音乐五度,所以大多数简单的音乐曲调都可以用这样的瓶子制作出来。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Study on the Behavior of Helmholtz Resonance in Different Size Bottles
The resonance is the specific response of system which is capable to vibrate with certain frequency to an external force acting with the same frequency. When air is blown across the open mouth of different bottles then air vibrate in a neck at resonant frequency. In this study we consider 5-5 bottles of different five types bottles having different of length of neck, radius of port, cross-sectional area of port and same volume (250ml). Resonance in different bottles was studied to determine how the volume of air cavity of different bottle affects the resonance. From calculated and experimental data, we found that the Helmholtz resonance frequency decreases with increase in volume and vice versa in each case of different bottles. From graph we also found that the calculated and experimental model are about 100% and 99% variability of the response data around its mean. The practical range for these different bottles is from about 256 to 512 Hz. This is about an octave plus a musical fifth near the middle of the musical instrument, so most simple musical tunes can be produced with such bottles.
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