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 language | English (US) |
|---|---|
| Article number | 035064 |
| Journal | Proceedings of Meetings on Acoustics |
| Volume | 19 |
| DOIs | |
| State | Published - Jun 19 2013 |
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All Science Journal Classification (ASJC) codes
- Acoustics and Ultrasonics
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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 journal › Conference 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.
UR - http://www.scopus.com/inward/record.url?scp=84878966917&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84878966917&partnerID=8YFLogxK
U2 - 10.1121/1.4800051
DO - 10.1121/1.4800051
M3 - Conference article
VL - 19
JO - Proceedings of Meetings on Acoustics
JF - Proceedings of Meetings on Acoustics
SN - 1939-800X
M1 - 035064
ER -