Continuation of a brass instrument model with constraints: towards a fit of numerical and experimental results

Vincent Fréour (1) , Louis Guillot (2, 3) , Hideyuki Masuda (1) , Ryuji Hashimoto , Eiji Tominaga (1) , Yutaka Tohgi (1) , Bruno Cochelin (2) , Christophe Vergez (3)

1 Yamaha Corporation
2 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
3 Sons

Numerical continuation using the Asymptotic Numerical Method (ANM) has been used to analyze and compare brass instruments numerically in previous work. By combining the ANM and Harmonic Balance Method (HBM), branches of periodic solutions can be calculated. Several descriptors could be extracted from the bifurcation diagrams obtained using this approach. The question of experimental validation of the obtained results then becomes an important issue. In this study, measurements were performed on musicians for comparison with the numerical results obtained. A new approach of continuation, with constraints, allows us to fit numerical on experimental bifurcation diagrams by releasing some parameters of the model. The results obtained show the capability of the simple 1D lip model to perform very good fit on experimental results, while providing new information (lip parameter trajectories) likely to bring new elements of comparison of the different musical instruments studied.

Mots clés: Musical Acoustics; Dynamical system; Numerical continuation; Playing measurements

Domaines: Acoustique [physics.class-ph]; Vibrations [physics.class-ph]

Vincent Fréour, Louis Guillot, Hideyuki Masuda, Ryuji Hashimoto, Eiji Tominaga, et al.. Continuation of a brass instrument model with constraints: towards a fit of numerical and experimental results. Forum Acusticum, Dec 2020, Lyon, France. pp.2179-2180, ⟨10.48465/fa.2020.1101⟩. ⟨hal-03235393⟩