Optimisation d’un instrument de musique de type cuivre basée sur des simulations sonores par modèle physique

Abstract : This thesis presents a method for design optimization of brass wind instruments. The shape of a trumpet's bore is optimized to improve intonation or the instrument timbre using a physics-based sound simulation model. This physics-based model consists of an acoustic model of the resonator, a mechanical model of the excitator and a model of the coupling between the excitator and the resonator. The simulation uses the harmonic balance technique to computate sounds in permanent regime, representative of the shape of the resonator according tocontrol parameters of the excitator (virtual musician). Optimization problems are formulated, in which the objective function to be minimized and the constraints define features of the instrument’s quality regarding the different playable notes. The design variables are the physical dimensions of the resonator. Given the computationally expensive function evaluation and the unavailability of gradients, a surrogate-assisted optimization framework is implemented using the mesh adaptive direct search algorithm (MADS). Two examples (with two and five design optimization variables) demonstrate the validity of the approach. Results show that significant improvement of intonation can be robustly achieved at reasonable computational cost. At last, two perceptive studies are carried out in order to confirm, on the one hand, the capacity of the physics based model to elicit differences between the instruments and, on the other hand, the capacity of the optimization method to propose perceptually distinct instruments.
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Submitted on : Thursday, May 9, 2019 - 11:59:12 AM
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Robin Tournemenne. Optimisation d’un instrument de musique de type cuivre basée sur des simulations sonores par modèle physique. Acoustique [physics.class-ph]. École centrale de Nantes, 2017. Français. ⟨NNT : 2017ECDN0015⟩. ⟨tel-02124102⟩

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