Fundamental azimuthal modes of a constricted annular resonator

Theory and measurement

Ralph T. Muehleisen, Anthony A. Atchley

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The fundamental azimuthal modes of a constricted annular resonator are investigated. It is found that a given mode of an unconstricted resonator splits into two separate modes in the constricted resonator. One mode is of a higher frequency and has a pressure antinode centered in the constricted region. The other mode is of a lower frequency and has a pressure node centered in the constricted region. The resonance frequency of the higher-frequency modes increases linearly with a decrease in the constricted to unconstricted area ratio, whereas the lower frequency drops nonlinearly. Measurements and theory match to within 0.5% when end corrections and thermo-viscous losses are included in the system model. It was found that end correction impedances derived by mode-matching techniques were the only ones accurate enough to match the measurements and computation to within the error bounds.

Original languageEnglish (US)
Pages (from-to)480-487
Number of pages8
JournalJournal of the Acoustical Society of America
Volume109
Issue number2
DOIs
StatePublished - Feb 21 2001

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resonators
antinodes
low frequencies
Fundamental
impedance

All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

Cite this

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abstract = "The fundamental azimuthal modes of a constricted annular resonator are investigated. It is found that a given mode of an unconstricted resonator splits into two separate modes in the constricted resonator. One mode is of a higher frequency and has a pressure antinode centered in the constricted region. The other mode is of a lower frequency and has a pressure node centered in the constricted region. The resonance frequency of the higher-frequency modes increases linearly with a decrease in the constricted to unconstricted area ratio, whereas the lower frequency drops nonlinearly. Measurements and theory match to within 0.5{\%} when end corrections and thermo-viscous losses are included in the system model. It was found that end correction impedances derived by mode-matching techniques were the only ones accurate enough to match the measurements and computation to within the error bounds.",
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Fundamental azimuthal modes of a constricted annular resonator : Theory and measurement. / Muehleisen, Ralph T.; Atchley, Anthony A.

In: Journal of the Acoustical Society of America, Vol. 109, No. 2, 21.02.2001, p. 480-487.

Research output: Contribution to journalArticle

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