Design and measurements of variably nonuniform acoustic resonators

Design and measurements of variably nonuniform acoustic resonators
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DOI:
10.1119/1.18172
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发表时间:
1996-06
影响因子:
0.9
通讯作者:
B. Denardo;M. Bernard
B. Denardo;M. Bernard
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
B. Denardo;M. Bernard

文献摘要

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我们描述了具有非均匀截面积的谐振器的设计、构造和声学测量,这些谐振器可以很容易地改变以产生不同的共振频率。这些谐振器是对称破缺和非均匀对驻波影响的教育演示。考虑产生两个、三个和四个音调的谐振器,其中相对频率被设计为与音乐音程相对应。所有情况下的符合率都在2%以内,大多数情况下是1%。这些数据揭示了理论的崩溃,这被证明是附加动能的结果,因此有效惯性在横截面面积的不连续附近。数据还表明,采用无限法兰的端部校正法比采用薄壁管的端部校正法更准确。
We describe the design, construction, and acoustical measurements of resonators with nonuniform cross‐sectional areas that are easily altered to yield different resonance frequencies. These resonators are useful as educational demonstrations of symmetry breaking and of an effect of nonuniformity upon standing waves. Resonators that yield two, three, and four pitches are considered, where the relative frequencies are designed to correspond to musical intervals. Agreement is within 2% in all cases and 1% for most. The data reveal a breakdown of the theory, which is shown to be a result of additional kinetic energy, and thus effective inertia, near a discontinuity in cross‐sectional area. The data also reveal that it is more accurate accurate to employ the end correction of an infinite flange rather than that of a thin‐walled tube.