1. Continuation of a brass instrument model with constraints: towards a fit of numerical and experimental results
- Author
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Fréour, Vincent, Guillot, Louis, Masuda, Hideyuki, Hashimoto, Ryuji, Tominaga, Eiji, Tohgi, Yutaka, Cochelin, Bruno, Vergez, Christophe, Yamaha Corporation, Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Sons, Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), and Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
Numerical continuation ,Playing measurements ,[PHYS.MECA.VIBR]Physics [physics]/Mechanics [physics]/Vibrations [physics.class-ph] ,Dynamical system ,Musical Acoustics ,[PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph] - Abstract
International audience; 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.
- Published
- 2020
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