Approche passive pour la modélisation, la simulation et l'étude d'un banc de test robotisé pour les instruments de type cuivre

Abstract : This thesis is to be seen against the robotic, the automatic, and the musical acoustic backgrounds. It provides a study of a robotized test bench for brass instruments and is divided into three parts: the passive modelling of the system, its simulation and its development. The modelling uses a passive formalism, namely, the ports-Hamiltonian systems. The main parts of the complete system are: an air supply for the breath, an acoustic exciter (composed of a couple of artificial lip and an air jet) and an acoustic resonator. A new model for the air jet generated between the lips is proposed. This model aims at providing a power balance, which is closer to the real system than other commonly used models. The discrete gradient method is presented to perform passive simulations. It does not generally guaranty the existence and uniqueness of a solution and is limited to the second order of numerical consistency. Moreover, its execution needs nonlinear optimisation algorithms. To compensate for these limitations, a multi-stage method of double Runge-Kutta type and based on a change of variable is proposed. Results from simulations are interpreted and compared to those coming from a Bernoulli type model. Finally, the test bench and the technical developments are presented. They enable the performance of repeatable cartographies experiments which can be used to characterise music instruments. Finally, experimental and numerical results are compared in order to highlight the defaults and the qualities of the proposed model.
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Nicolas Lopes. Approche passive pour la modélisation, la simulation et l'étude d'un banc de test robotisé pour les instruments de type cuivre. Automatique / Robotique. Université Pierre et Marie Curie - Paris VI, 2016. Français. ⟨NNT : 2016PA066150⟩. ⟨tel-01400695⟩

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