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Design and measurements of variably nonuniform acoustic resonators

 

作者: Bruce Denardo,   Miguel Bernard,  

 

期刊: American Journal of Physics  (AIP Available online 1996)
卷期: Volume 64, issue 6  

页码: 745-751

 

ISSN:0002-9505

 

年代: 1996

 

DOI:10.1119/1.18172

 

出版商: American Association of Physics Teachers

 

关键词: RESONATORS;SOUND WAVES;STANDING WAVES;HARMONICS;ACOUSTIC MEASUREMENTS;DESIGN;SYMMETRY BREAKING;43.

 

数据来源: AIP

 

摘要:

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.

 

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