Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure

Bergeot, Baptiste; Almeida, André; Vergez, Christophe; Gazengel, Bruno

doi:10.1007/s11071-013-0806-y

Cited by 16 publications

(53 citation statements)

References 16 publications

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“…As observed for the oscillation threshold in clarinet-like instruments [15], we showi nt his section that am odification of the regime change threshold does not imply a strong modification of the characteristic curves, observed in the static case,linking the oscillation amplitude and the oscillation frequencytothe blowing pressure. Fornumerical results, this feature can be easily illustrated through ac omparison between the results of time-domain simulations and the bifurcation diagrams obtained through numerical continuation.…”

Section: Influence Of the Slope Of Blowing Pressure Ramps On Oscillatsupporting

confidence: 64%

“…Recent works [15,16] have demonstrated the strong influence of the dynamics of control parameters on the oscillation threshold of reed instruments. Particularly,ithas highlighted, in such instruments, the phenomenon of bifurcation delay,c orresponding to as hift of the oscillation threshold caused by the dynamics of the control parameter [17].…”

Section: Influence Of the Slope Of Blowing Pressure Ramps On Thresholdsmentioning

confidence: 99%

“…Recent works have shown the strong influence of this parameter on oscillation thresholds of reed instruments [15,16], and thus suggest that it could be ac ontrol parameter for musicians. Moreover, the comparison between the blowing pressure profiles observed on both the non musician and the experienced recorder player during the crescendo (see Figure 4) supports this assumption.…”

Section: Introduction and Problem Statementmentioning

confidence: 97%

See 2 more Smart Citations

Regime Change Thresholds in Recorder-Like Instruments: Influence of the Mouth Pressure Dynamics

Terrien¹,

Blandin²,

Vergez³

et al. 2015

Acta Acustica united with Acustica

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In the recorder,variation in blowing pressure can produce changes between playing regimes and thus jumps from one note to another.Inthis paper,such transitions are compared for arecorder played by an experienced player, aperson with no playing experience, and an artificial mouth. The experienced player is observed to shift regime change thresholds up to 240% and 292% compared to the artificial mouth and the non musician (respectively), and thus to enlarge the control of nuances and spectrum. The hypothesis that the dynamics (i.e. rate of change)of the blowing pressure influences regime change thresholds is tested experimentally using an artificial mouth and numerically through time-domain simulations of aphysical model of the instrument. Regime change thresholds are compared for both linearly varying blowing pressure profiles with different slopes and for piecewise linear ramps of the blowing pressure (including aslope change). The results highlight astrong dependence of thresholds on the blowing pressure dynamics. Aphenomenological model of the register change that predicts regime change as afunction of the rate of change of the blowing pressure is proposed. It givesgood agreement with experimental data and simulations.

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Section: Influence Of the Slope Of Blowing Pressure Ramps On Oscillatsupporting

confidence: 64%

Section: Influence Of the Slope Of Blowing Pressure Ramps On Thresholdsmentioning

confidence: 99%

Section: Introduction and Problem Statementmentioning

confidence: 97%

See 1 more Smart Citation

Regime Change Thresholds in Recorder-Like Instruments: Influence of the Mouth Pressure Dynamics

Terrien¹,

Blandin²,

Vergez³

et al. 2015

Acta Acustica united with Acustica

View full text Add to dashboard Cite

show abstract

“…In the same way, this method only provides information about the behaviour of the model in the case of a quasi-static variation of the continuation parameter. Since recent studies [46] have highlighted the strong influence of the variation rate of a control parameter on the behaviour of a dynamical system, one can wonder about the validity of the bifurcation diagram in a musical context, where many control parameters vary continuously. Moreover, while orthogonal collocation can be extented to compute non-periodic solutions (such as for example quasiperiodic, intermittent or chaotic regimes), the software package used here is not currently suitable for such calculations.…”

Section: Resultsmentioning

confidence: 99%

Calculation of the Steady-State Oscillations of a Flute Model Using the Orthogonal Collocation Method

Terrien¹,

Vergez²,

Fabre³

et al. 2014

Acta Acustica united with Acustica

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In this paper we exploit the method of numerical continuation combined with orthogonal collocation to determine the steady-state oscillations of a model of flute-like instruments that is formulated as a nonlinear neutral delay differential equation. The delay term in the model causes additional complications in the analysis of the behaviour of the model, in contrast to models of other wind instruments which are formulated as ordinary differential equations. Fortunately, numerical continuation provides bifurcation diagrams that show branches of stable and unstable static and periodic solutions of the model and their connections at bifurcations, thus enabling an in depth analysis of the global dynamics. Furthermore, it allows us to predict the thresholds of the different registers of the flute-like instrument and thus to explain the classical phenomenon of register change and the associated hysteresis.

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“…6), a weak slope of 3 kPa/min was chosen, and the acquisition was limited to 4 kPa. This allows the measurements to approach the oscillation threshold and reduces the phenomenon of bifurcation delay, as observed by Bergeot et al for strong excitation-pressure slopes [17]. Conversely, if an increasing ramp was used, a jump at threshold would be observed.…”

Section: External Pressure Measurement With An Artificial Mouthmentioning

confidence: 88%

The effect of the size of the opening on the acoustic power radiated by a reed woodwind instrument

Guilloteau

Guillemain

Kergomard

et al. 2015

Journal of Sound and Vibration

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a b s t r a c tFor a given note, the maker of woodwind instruments can choose between different sizes for the toneholes under the condition that the location is appropriate. The present paper aims at analyzing the consequences of this choice on the power radiated by a hole, which depends on the coupling between the acoustic resonator and the excitation mechanism of the self-sustained oscillation, thus on the blowing pressure. For that purpose a simplified reed instrument is investigated, with a cylindrical pipe and a unique orifice at the pipe termination. The orifice diameter was varied between the pipe diameter and a size such that the instrument did not play. The pipe length was in each case adjusted to keep the resonance frequency constant. A simple analytical model predicts that, for a given mouth pressure of the instrumentalist, the radiated power does not depend on the size of the hole if it is wide enough and if resonator losses are ignored. Numerical solution of a model including losses confirms this result: the difference in radiated power between two diaphragm sizes remains smaller than the difference obtained if the radiated power would be proportional to the orifice cross section area. This is confirmed by experiments using an artificial mouth, but the results show that the linear losses are underestimated, and that significant nonlinear losses occur. The measurements are limited to the acoustic pressure at a given distance of the orifice. Experiments also show that rounding edges of the orifice reduces nonlinear losses resulting in an increase of the power radiated and of the extinction threshold, and resulting in a larger dynamical range.

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Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure

Cited by 16 publications

References 16 publications

Regime Change Thresholds in Recorder-Like Instruments: Influence of the Mouth Pressure Dynamics

Regime Change Thresholds in Recorder-Like Instruments: Influence of the Mouth Pressure Dynamics

Calculation of the Steady-State Oscillations of a Flute Model Using the Orthogonal Collocation Method

The effect of the size of the opening on the acoustic power radiated by a reed woodwind instrument

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