In-Vitro and Numerical Investigations of the Influence of a Vocal-Tract Resonance on Lip Auto-Oscillations in Trombone Performance

Fréour, Vincent; Lopes, N.; Hélie, Thomas; Causse, René; Scavone, Gary P.

doi:10.3813/aaa.918824

Cited by 17 publications

(5 citation statements)

References 15 publications

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“…In brass instruments, the lip excitation mechanism is commonly modeled by a simple one-degree-of-freedom mechanical oscillator, non-linearly coupled to the air-column of the instrument by a flow model [4][5][6]. More advanced representations of this model have been considered by concentrating on the fluidstructure interaction between the air-jet and the lips [7], the number of degrees of freedom for the lips [8,9], the acoustical interaction with the upstream airways [10,11], or the nonlinear propagation inside the bore of the instrument [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Numerical continuation of a physical model of brass instruments: Application to trumpet comparisons

Fréour

Guillot

Masuda

et al. 2020

The Journal of the Acoustical Society of America

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The system formed by a trumpet player and his/her instrument can be seen as a non-linear dynamical system, and modeled by physical equations. Numerical tools can then be used to study these models and clarify the influence of the model parameters. The acoustic input impedance, for instance, is strongly dependent on the geometry of the air column and is therefore of primary interest for a musical instrument maker. In this study, a method of continuation of periodic solutions based on the combination of the Harmonic Balance Method (HBM) and the Asymptotic Numerical Method (ANM), is applied to a physical model of brass instruments. It allows the study of the evolution of the system where one parameter of the model (static mouth pressure) varies. This method is used to compare different B trumpets on the basis of two descriptors (hysteresis behavior and dynamic range) computed from the continuation outputs. Resultsshow that this methodology enables to differentiate instruments in the space of the calculated descriptors.Calculations for different values of the lip parameters are also performed to confirm that the obtained categorization is independent of variations of lip parameters.

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Section: Introductionmentioning

confidence: 99%

Numerical continuation of a physical model of brass instruments: Application to trumpet comparisons

Fréour

Guillot

Masuda

et al. 2020

The Journal of the Acoustical Society of America

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“…The vocal tract modelling is also critical, and there are contributions in this aspect based on tube models [18,19]. These models are commonly used for modelling musical instruments, and the influence of the vocal tract on trombone performance can be visited in [20]. Freour et al [20] investigated the effect of vibroacoustic interaction in the trombone and found that there is no clear difference in perception between instruments fabricated with different materials, and that the selection of material is more related to aesthetic aspects.…”

Section: Introductionmentioning

confidence: 99%

“…These models are commonly used for modelling musical instruments, and the influence of the vocal tract on trombone performance can be visited in [20]. Freour et al [20] investigated the effect of vibroacoustic interaction in the trombone and found that there is no clear difference in perception between instruments fabricated with different materials, and that the selection of material is more related to aesthetic aspects. However, Kausel et al [21] claimed that even though the material does not change the timbre of the sound, it does emphasize high frequencies in some way.…”

Section: Introductionmentioning

confidence: 99%

Comparative analysis of the acoustical impedance of a set of traditional trombones versus P-Bone

Rico¹,

Guarinos

Gallego

et al. 2023

Eur. J. Phys.

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In this work, the impedance response of a set of trombones is analysed in order to find correlations between their sound and timbre and the main characteristics of the impedance curves. For this specific application, an impedance tube has been designed and manufactured to measure the different trombones' impedance curves. A plastic trombone (P-Bone) has been considered in the experiments to determine the importance of the material used to fabricate the instrument. In order to parametrise the trombones considered here, the instrument profile has been theoretically studied using a conical approach. More precisely, the tube and bell cone of the trombone has been discretised along its length in a set of small conical segments. Also, the influence of the mouthpiece is considered in the analytical formalism, and all these factors are optimised by employing a genetic algorithm (GA) to find the physical parameters that fit the experimental impedance curves. The experimental results are also compared with the opinions obtained from a survey about the subjective assessment of the same music passage recorded with the different instruments considered here. The results show that the impedance curve and some of the fitted parameters obtained correlate with the assessment of trombones in the blind survey. Moreover, the quality of the impedance tube here designed reveals that it is an excellent option to find leakages or dysfunction in this instrument.

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“…Physical modeling is a valuable strategy in order to study numerically the response of a musical instruments [1]. In the case of brass instruments, various studies have focused on the modeling and simulation of the brass player and his/her instrument [2][3][4][5][6][7][8][9][10]. Some techniques such as numerical continuation are particularly relevant in order to compute periodic solution branches of wind instrument models [11].…”

Section: Introductionmentioning

confidence: 99%

Parameter identification of a physical model of brass instruments by constrained continuation

et al. 2022

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Numerical continuation using the Asymptotic Numerical Method (ANM), together with the Harmonic Balance Method (HBM), makes it possible to follow the periodic solutions of non-linear dynamical systems such as physical models of wind instruments. This has been recently applied to practical problems such as the categorization of musical instruments from the calculated bifurcation diagrams [V. Fréour et al. Journal of the Acoustical Society of America 148 (2020) https://doi.org/10.1121/10.0001603]. Nevertheless, one problem often encountered concerns the uncertainty on some parameters of the model (reed parameters in particular), the values of which are set almost arbitrarily because they are too difficult to measure experimentally. In this work we propose a novel approach where constraints, defined from experimental measurements, are added to the system. This operation allows uncertain parameters of the model to be relaxed and the continuation of the periodic solution with constraints to be performed. It is thus possible to quantify the variations of the relaxed parameters along the solution branch. The application of this technique to a physical model of a trumpet is presented in this paper, with constraints derived from experimental measurements on a trumpet player.

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In-Vitro and Numerical Investigations of the Influence of a Vocal-Tract Resonance on Lip Auto-Oscillations in Trombone Performance

Cited by 17 publications

References 15 publications

Numerical continuation of a physical model of brass instruments: Application to trumpet comparisons

Numerical continuation of a physical model of brass instruments: Application to trumpet comparisons

Comparative analysis of the acoustical impedance of a set of traditional trombones versus P-Bone

Parameter identification of a physical model of brass instruments by constrained continuation

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