Parameter identification of a physical model of brass instruments by constrained continuation
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 su...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2022-01-01
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| Series: | Acta Acustica |
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| Online Access: | https://acta-acustica.edpsciences.org/articles/aacus/full_html/2022/01/aacus210088/aacus210088.html |
| _version_ | 1797718746814480384 |
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| author | Fréour Vincent Guillot Louis Masuda Hideyuki Vergez Christophe Cochelin Bruno |
| author_facet | Fréour Vincent Guillot Louis Masuda Hideyuki Vergez Christophe Cochelin Bruno |
| author_sort | Fréour Vincent |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T08:54:53Z |
| format | Article |
| id | doaj.art-7158dedaff3d4b1d88e0c76de84ee54c |
| institution | Directory Open Access Journal |
| issn | 2681-4617 |
| language | English |
| last_indexed | 2024-03-12T08:54:53Z |
| publishDate | 2022-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | Acta Acustica |
| spelling | doaj.art-7158dedaff3d4b1d88e0c76de84ee54c2023-09-02T16:08:34ZengEDP SciencesActa Acustica2681-46172022-01-016910.1051/aacus/2022004aacus210088Parameter identification of a physical model of brass instruments by constrained continuationFréour Vincent0Guillot Louis1Masuda Hideyuki2Vergez Christophe3Cochelin Bruno4YAMAHA Corporation, Research and Development DivisionAix Marseille Univ., CNRS, Centrale Marseille, LMA UMR7031YAMAHA Corporation, Research and Development DivisionAix Marseille Univ., CNRS, Centrale Marseille, LMA UMR7031Aix Marseille Univ., CNRS, Centrale Marseille, LMA UMR7031Numerical 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.https://acta-acustica.edpsciences.org/articles/aacus/full_html/2022/01/aacus210088/aacus210088.htmlbrass instrumentsnonlinear dynamical systemnumerical continuationlip parameters |
| spellingShingle | Fréour Vincent Guillot Louis Masuda Hideyuki Vergez Christophe Cochelin Bruno Parameter identification of a physical model of brass instruments by constrained continuation Acta Acustica brass instruments nonlinear dynamical system numerical continuation lip parameters |
| title | Parameter identification of a physical model of brass instruments by constrained continuation |
| title_full | Parameter identification of a physical model of brass instruments by constrained continuation |
| title_fullStr | Parameter identification of a physical model of brass instruments by constrained continuation |
| title_full_unstemmed | Parameter identification of a physical model of brass instruments by constrained continuation |
| title_short | Parameter identification of a physical model of brass instruments by constrained continuation |
| title_sort | parameter identification of a physical model of brass instruments by constrained continuation |
| topic | brass instruments nonlinear dynamical system numerical continuation lip parameters |
| url | https://acta-acustica.edpsciences.org/articles/aacus/full_html/2022/01/aacus210088/aacus210088.html |
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