Woodwind instrument design optimization based on impedance characteristics with geometric constraints
| Autor: | Christophe Vergez, Augustin Ernoult, Michael Jousserand, Philippe Guillemain, Samy Missoum |
|---|---|
| Přispěvatelé: | Advanced 3D Numerical Modeling in Geophysics (Magique 3D), Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)-Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Sons, Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), 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), University of Arizona, Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Buffet Group, This work has been partly supported by the french Agence Nationale de la Recherche (ANR16-LCV2-0007-01 Liamfi project), in cooperation with Buffet Crampon., Centre National de la Recherche Scientifique (CNRS)-Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)-Université de Pau et des Pays de l'Adour (UPPA)-Inria Bordeaux - Sud-Ouest, 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), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
[SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph]
Optimization problem Acoustics and Ultrasonics Computer science Acoustics Resonance Input impedance 01 natural sciences Bore profile optimization Musical acoustics 03 medical and health sciences 0302 clinical medicine Amplitude Geometric design Arts and Humanities (miscellaneous) 0103 physical sciences Woodwind instruments Musical instrument design 030223 otorhinolaryngology Instrument design Impedance characteristics 010301 acoustics Electrical impedance |
| Zdroj: | Journal of the Acoustical Society of America Journal of the Acoustical Society of America, Acoustical Society of America, 2020, 148 (5), pp.2864-2877. ⟨10.1121/10.0002449⟩ Journal of the Acoustical Society of America, 2020, 148 (5), pp.2864-2877. ⟨10.1121/10.0002449⟩ |
| ISSN: | 0001-4966 1520-8524 |
| DOI: | 10.1121/10.0002449⟩ |
| Popis: | Computational optimization algorithms coupled with acoustic models of wind instruments provide instrument makers with an opportunity to explore new designs. Specifically, they enable the automatic discovery of geometries exhibiting desired resonance characteristics. In this paper, the design optimization of woodwind instruments with complex geometrical features (e.g., non-cylindrical bore profile and side holes with various radii and chimney heights) is investigated. Optimal geometric designs are searched so that their acoustic input impedance has peaks with specific target frequencies and amplitudes. However, woodwind instruments exhibit complex input impedance whose features, such as resonances, might have non-smooth evolution with respect to design variables, thus hampering gradient-based optimization. For this reason, this paper introduces new formulations of the impedance characteristics (resonance frequencies and amplitudes) using a regularized unwrapped angle of the reflection function. The approach is applied to an illustrative instrument subjected to geometric constraints similar to the ones encountered by manufacturers (a key-less pentatonic clarinet with two-registers). Three optimization problems are considered, demonstrating a strategy to simultaneously adjust several impedance characteristics on all fingerings. |
| Databáze: | OpenAIRE |
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