An Analytical Prediction of the Bifurcation Scheme of a Clarinet-Like Instrument: Effects of Resonator Losses
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Authors
Kergomard, Jean
Author (Corporation)
Publication date
2015
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01A - Journal article
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Parent work
Acta Acustica united with Acustica
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Volume
101
Issue / Number
Pages / Duration
279-291
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Publisher / Publishing institution
Hirzel
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Abstract
The understanding of the relationship between excitation parameters and oscillation regimes is a classical topic
concerning bowed string instruments. The paper aims to study the case of reed woodwinds and attempts to
find consequences on the ease of playing. In the minimum model of clarinet-like instruments, three parameters
are considered: i) the mouth pressure, ii) the reed opening at rest, iii) the length of the resonator assumed to
be cylindrical. Recently a supplementary parameter was added: the loss parameter of the resonator (using the
“Raman model”, that considers resonator losses to be independent of frequency). This allowed explaining the
extinction of sound when the mouth pressure becomes very large. The present paper presents an extension of the
paper by Dalmont et al. (JASA, 2005), searching for a diagram of oscillation regimes with respect to the reed
opening and the loss parameter. An alternative method is used, which allows easier generalization and simplifies
the calculation. The emphasis is done on the emergence bifurcation: for very strong losses, it can be inverse,
similarly to the extinction one for weak losses. The main part of the calculations are analytical, giving clear
dependence of the parameters. An attempt to deduce musical consequences for the player is given.
Keywords
Musical acoustics
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ISBN
ISSN
0001-7884
1436-7947
1610-1928
1861-9959
1436-7947
1610-1928
1861-9959
Language
English
Created during FHNW affiliation
Yes
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Publication status
Published
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Peer review of the complete publication
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Citation
TAILLARD, Pierre-André und Jean KERGOMARD, 2015. An Analytical Prediction of the Bifurcation Scheme of a Clarinet-Like Instrument: Effects of Resonator Losses. Acta Acustica united with Acustica. 2015. Bd. 101, S. 279–291. DOI 10.3813/AAA.918826. Verfügbar unter: http://hdl.handle.net/11654/12024