A thermoviscous tube propagation model suitable for time domain analysis

Research output: Contribution to journalConference article

1 Citation (Scopus)

Abstract

Modeling acoustic propagation in tubes including the effects of thermoviscous losses at the tube walls is important in thermoacoustics, in hearing aid modeling and in modeling wind musical instruments. Frequency dependent impedances for a tube transmission line model in terms of the so-called thermal and viscous functions are well established, and form the basis for frequency domain analysis of systems that include tubes. However, frequency domain models cannot be used for systems in which significant nonlinearities are important, as is the case with the pressure-flow relationship through the reed in a woodwind instrument. This paper describes a tube model based on a continued fraction expansion of the thermal and viscous functions. The expansion can be represented as an analog circuit model which allows its use in time domain system modeling. A simple model of a clarinet-like oscillation will be shown.

Original languageEnglish (US)
Article number035064
JournalProceedings of Meetings on Acoustics
Volume19
DOIs
StatePublished - Jun 19 2013

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time domain analysis
tubes
propagation
frequency domain analysis
acoustic propagation
analog circuits
expansion
hearing
transmission lines
nonlinearity
impedance
oscillations

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics

Cite this

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title = "A thermoviscous tube propagation model suitable for time domain analysis",
abstract = "Modeling acoustic propagation in tubes including the effects of thermoviscous losses at the tube walls is important in thermoacoustics, in hearing aid modeling and in modeling wind musical instruments. Frequency dependent impedances for a tube transmission line model in terms of the so-called thermal and viscous functions are well established, and form the basis for frequency domain analysis of systems that include tubes. However, frequency domain models cannot be used for systems in which significant nonlinearities are important, as is the case with the pressure-flow relationship through the reed in a woodwind instrument. This paper describes a tube model based on a continued fraction expansion of the thermal and viscous functions. The expansion can be represented as an analog circuit model which allows its use in time domain system modeling. A simple model of a clarinet-like oscillation will be shown.",
author = "Stephen Thompson and Gabrielson, {Thomas B.} and Warren, {Daniel M.}",
year = "2013",
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A thermoviscous tube propagation model suitable for time domain analysis. / Thompson, Stephen; Gabrielson, Thomas B.; Warren, Daniel M.

In: Proceedings of Meetings on Acoustics, Vol. 19, 035064, 19.06.2013.

Research output: Contribution to journalConference article

TY - JOUR

T1 - A thermoviscous tube propagation model suitable for time domain analysis

AU - Thompson, Stephen

AU - Gabrielson, Thomas B.

AU - Warren, Daniel M.

PY - 2013/6/19

Y1 - 2013/6/19

N2 - Modeling acoustic propagation in tubes including the effects of thermoviscous losses at the tube walls is important in thermoacoustics, in hearing aid modeling and in modeling wind musical instruments. Frequency dependent impedances for a tube transmission line model in terms of the so-called thermal and viscous functions are well established, and form the basis for frequency domain analysis of systems that include tubes. However, frequency domain models cannot be used for systems in which significant nonlinearities are important, as is the case with the pressure-flow relationship through the reed in a woodwind instrument. This paper describes a tube model based on a continued fraction expansion of the thermal and viscous functions. The expansion can be represented as an analog circuit model which allows its use in time domain system modeling. A simple model of a clarinet-like oscillation will be shown.

AB - Modeling acoustic propagation in tubes including the effects of thermoviscous losses at the tube walls is important in thermoacoustics, in hearing aid modeling and in modeling wind musical instruments. Frequency dependent impedances for a tube transmission line model in terms of the so-called thermal and viscous functions are well established, and form the basis for frequency domain analysis of systems that include tubes. However, frequency domain models cannot be used for systems in which significant nonlinearities are important, as is the case with the pressure-flow relationship through the reed in a woodwind instrument. This paper describes a tube model based on a continued fraction expansion of the thermal and viscous functions. The expansion can be represented as an analog circuit model which allows its use in time domain system modeling. A simple model of a clarinet-like oscillation will be shown.

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